Waveguide for plastic welding, arrangement for plastic welding, a welding method as well as a manufacturing method of a waveguide

Abstract

A waveguide for plastic welding has an entry end, an exit end as well as a first and a second inner face arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected. A first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide. The exit end may be arranged opposite to the entry end and a central plane of the waveguide may extend centrally from the entry end to the exit end. The first inner face comprises a continuously curved, concave shape so that a third distance between the first inner face and the central plane varies continuously from the entry end in the direction of the exit end.

Claims

1. Method for plastic welding with an arrangement comprising a laser light source, a light guide and a waveguide, wherein the waveguide is a negative waveguide comprising an entry end defining an entry face for laser light, an exit end defining an exit face for laser light as well as a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein a first distance between the entry end and the exit end defines a length of the waveguide and a cavity is present between the first and the second inner face through which laser light is guidable, and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein the waveguide further realizes one of the following features: i) the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end, and the first inner face comprises a continuously curved, concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end, in which the third distance increases from the entry end in the direction of the exit end up to an apex and decreases thereafter and the continuously curved concave shape of the first inner face is part of an ellipse, or ii) the first inner face comprises a continuously curved concave shape which is part of a first spiral so that a radius of the first spiral from a point of origin of the first spiral to the first inner face varies continuously along the waveguide, the second inner face comprises a continuously curved convex shape which is part of a second spiral, so that a radius of the second spiral from a point of origin of the second spiral to the second inner face varies continuously along the waveguide, wherein the thickness of the waveguide decreases continuously from the entry end in the direction of the exit end and an angle in the range of 30° to 150° is enclosed between the entry end and the exit end wherein the method comprises the following steps: a. arranging two plastic components to be welded to each other in a mounting device, b. creating laser light by means of the laser light source, wherein the laser light passes through the light guide, and subsequently through the waveguide, and c. welding the plastic components to be welded to each other by means of the laser light exiting the waveguide.

2. Method for plastic welding according to claim 1 with feature i), wherein the second inner face is formed mirror-symmetrically to the first inner face so that the second inner face has a continuously curved concave shape and a fourth distance between the second inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end.

3. Method for plastic welding according to claim 1 with feature i), wherein the thickness at the entry end is between 8% and 25% of the length of the waveguide.

4. Method for plastic welding according to claim 1 with feature i), wherein the apex is arranged with respect to the length in a range between ¼ and ¾ of the length of the waveguide.

5. Method for plastic welding according to claim 1 with feature i), wherein the thickness at the exit end is equal to the thickness at the entry end.

6. Method for plastic welding according to claim 1 with feature i), wherein the thickness in the apex is about 1.2- to 2-times the thickness at the entry end.

7. Method for plastic welding according to claim 1 with feature ii), wherein the radius of the first spiral increases or decreases continuously from the point of origin of the first spiral to the first inner face along the waveguide from the entry end in the direction of the exit end.

8. Method for plastic welding according to claim 1 with feature ii), wherein a central plane is defined between the first and the second inner face, the distance of which is constant to the first and the second inner face along the length of the waveguide so that the second inner face also has a continuously curved shape which is part of a second spiral so that a radius of the second spiral from a point of origin of the second spiral to the second inner face varies continuously along the wave guide.

9. Method for plastic welding according to claim 1 with feature ii), wherein the concave continuously curved shape, which is part of a spiral, is chosen from one of the following spiral types: hyperbolic, Archimedean, logarithmic or from a spiral based on the Fibonacci-sequence.

10. Method for plastic welding according to claim 1 with feature ii), wherein the arrangement has a plurality of light guides and a length of the first inner face of the waveguide is in the range of 3-times to 4-times of a distance between the individual light guides from the plurality of light guides.

11. Manufacturing method of a negative waveguide, comprising the steps: a. providing a first and a second inner face, b. applying a reflecting layer on the first and the second inner face, c. arranging the first and the second inner face such that they are opposite to each other, wherein d. a first end of the first and the second inner face define an entry end of the waveguide, which defines an entry face for laser light, and a second end of the first and the second inner face define an exit end of the waveguide, which defines an exit face for laser light, wherein e. a first distance between the entry end and the exit end defines a length of the waveguide and a cavity is present between the first and the second inner face through which laser light is guidable, and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein the method comprises further one of the following steps: f1. the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end while the first inner face has a continuously curved concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end, and the third distance increases from the entry end in the direction of the exit end up to an apex and decreases thereafter and the continuously curved concave shape of the first inner face is part of an ellipse, or f2. the first inner face has a continuously curved concave shape which is part of a first spiral, so that the radius of the first spiral varies continuously from a point of origin of the first spiral to the first inner face along the waveguide, the second inner face comprises a continuously curved convex shape which is part of a second spiral so that a radius of the second spiral from a point of origin of the second spiral to the second inner face varies continuously along the waveguide, wherein the thickness of the waveguide decreases continuously from the entry end in the direction of the exit end and an angle in the range of 30° to 150° is enclosed between the entry end and the exit end.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) In the following, the present disclosure will be described in detail based on the drawings. In the drawings, the same reference signs denote the same elements and/or components. It shows:

(2) FIG. 1 shows an embodiment of an arrangement for plastic welding with an embodiment of the first negative waveguide in a perspective view,

(3) FIG. 2 is a cross-section of the embodiment of the first negative waveguide according to FIG. 1,

(4) FIG. 3a shows the course of laser light in a straight negative waveguide according to the prior art in a cross-sectional view at precise alignment of the waveguide with the welding seam,

(5) FIG. 3b shows the course of laser light in an embodiment of the first negative waveguide according to FIG. 1 in a cross-sectional view at precise alignment of the waveguide with the welding seam,

(6) FIG. 4a shows the course of laser light in a straight negative waveguide according to the prior art in a cross-sectional view at a displacement of 0.5 mm of the waveguide with respect to the welding seam,

(7) FIG. 4b shows the course of laser light in the embodiment of the first negative waveguide according to FIG. 1 in a cross-sectional view at a displacement of 0.5 mm of the waveguide with respect to the welding seam,

(8) FIG. 5a shows the course of laser light in a straight negative waveguide according to the prior art in a cross-sectional view at a displacement of 1.0 mm of the waveguide with respect to the welding seam,

(9) FIG. 5b shows the course of laser light in the embodiment of the first negative waveguide according to FIG. 1 in a cross-sectional view at a displacement of 1.0 mm of the waveguide with respect to the welding seam,

(10) FIG. 6a shows the course of laser light after the component to be welded when using a straight negative waveguide according to the prior art,

(11) FIG. 6b shows the course of the laser light after the component to be welded when using the embodiment of the first negative waveguide according to FIG. 1,

(12) FIG. 7a is an enlarged view of a section of FIG. 6a,

(13) FIG. 7b is an enlarged view of a section of FIG. 6b,

(14) FIG. 8a is a cross-section of a straight negative waveguide according to the prior art with two laser beams for clarifying the interaction of the laser beams with each other,

(15) FIG. 8b is a cross-section of the embodiment of the first negative waveguide according to FIG. 1 with two laser beams for clarifying the interaction of the laser beams with each other,

(16) FIG. 9 is a perspective view of an arrangement for plastic welding with a section through an embodiment of a second negative waveguide according to the present invention,

(17) FIG. 10 shows a course of laser light through the embodiment of the second negative waveguide according to FIG. 9,

(18) FIG. 11 is a cross-sectional view of the embodiment of the second negative waveguide according to FIG. 10,

(19) FIG. 12 shows an enlarged view of a section of FIG. 11,

(20) FIG. 13 is a schematic depiction of the usage of the embodiment of the second negative waveguide for avoiding a collision of light guides in the cornered area,

(21) FIG. 14 is an overlapping view of a waveguide according to the prior art and the embodiment of the second negative waveguide,

(22) FIG. 15 is a flow chart of an embodiment of a welding method,

(23) FIG. 16 is a flow chart of an embodiment of a manufacturing method of a negative waveguide, and

(24) FIG. 17 is a flow chart of an embodiment of a manufacturing method of a positive waveguide.

DETAILED DESCRIPTION

(25) Generally, the waveguides described in the following can be used in any process in which laser light has to be guided to a welding zone. Exemplarily, the usage of the waveguide is explained in an arrangement for plastic welding, especially for laser transmission welding. For reasons of clarity, also the embodiments of the negative waveguide according to the present disclosure are described, wherein the respective embodiments apply analogously to positive waveguides. Furthermore, the embodiments described in the following must not define an individual waveguide but may be a section of a waveguide portion or an integral part of a waveguide. According to an example, an especially straight-lined waveguide is present prior to the entry end and/or after the exit end. The first entry end is present in this case where the first inner face starts having a concave shape. Accordingly, the exit end is present where the first inner face ends having a concave shape.

(26) At the laser transmission welding, a first component of plastic, which is often denoted as transmission component, is welded to a second component, which is often denoted as absorption component, by means of laser light and with the application of pressure. The transmission component or a portion of the transmission component is arranged adjacent to the waveguide as the laser beam shines through it without considerable heating. The absorption component or a portion of the absorption component is arranged on the side of the transmission component or the portion of the transmission component which is opposite to the waveguide. At first in the absorption component the laser light is absorbed in a surface near layer, wherein the laser energy is converted in thermal energy and the absorption component is melted at these places. The waveguide is used for example for applying the necessary joining pressure. Due to thermal conduction processes, also the transparent component is plasticized in the area of the joining zone. By means of the joining pressure applied from the outside as well as the inner joining pressure resulting from the expansion of the plastic melt, an adhesive bond connection of the two components is achieved. Here, it may be preferred to use the negative and positive waveguides as part of a simultaneous laser transmission welding. In this method, the whole welding contour or seam contour of the components to be welded to each other may be irradiated at the same time. This ensures an extreme reduction of the process times and makes a bridging of the clearances possible by means of melting away. Additionally, the welding seam is stronger compared to the contour welding in which a laser beam is guided along the seam as the simultaneous welding has a higher interaction time.

(27) Now referring to FIG. 1, an embodiment of an arrangement 1 for plastic welding with an embodiment of a first negative waveguide 20 is shown in a perspective view. In the arrangement 1, laser light is guided from a laser light source via a plurality of preferably flexible light guides 10 to the waveguide 20. The light guides 10 are connected at an entry end 22 with the waveguide 20. The laser light is guided through the waveguide 20 to the components to be welded, one component 15 of which is exemplarily shown. At that, it is one object of the waveguide 20 to homogenize the laser light from the light guides so that the power density distribution of the laser light in the welding zone or welding seam is as uniformly as possible.

(28) Additionally referring to FIG. 2, which shows a cross sectional view of the embodiment of the first negative waveguide according to FIG. 1, the construction of the waveguide 20 is described. The waveguide 20 comprises the entry end 22 defining an entry face for the laser light. Opposite to the entry end 22, the waveguide 20 comprises an exit end 24 defining an exit face for the laser light. A first 26 and a second inner face 28 extend between the entry end 22 and the exit end 24. The two inner faces 26 and 28 are arranged opposite to each other and reflect the laser light during operation of the arrangement 1.

(29) The entry face of the entry end 22 is defined by the plane in which the first ends of the first 26 and second inner face 28 are arranged at the entry end 22 of the waveguide 20. In the embodiment shown, the laser light enters the waveguide 20 perpendicular to the entry face at the entry end 22. The exit end 24 with the exit face is defined, analogously to the entry face, by the plane in which the second ends of the first 26 and the second inner face 28 are arranged at the exit end of the waveguide 20. In the embodiment shown, the exit face and the entry face are arranged in planes which extend parallel to each other.

(30) The exit end 24 is adapted in the embodiment shown to a desired seam contour of the components 15 to be welded so that the waveguide 20 has a longitudinal shape transverse to the direction of the laser light passing through the waveguide 20. An extension of the first negative waveguide in this direction is defined as width. In an alternative embodiment, the exit face has another shape. For example, the exit end and thus also the exit face are annular to weld two annular components to each other. In this case, the entry end and the entry face are formed analogously so that they are still arranged opposite to the exit end and the exit face.

(31) Due to the configuration of the waveguide 20 as negative waveguide 20, a cavity is present between the two inner faces 26 and 28 and the two inner faces are provided with a reflecting layer. Usually, the negative waveguide 20 has thus a channel like shape. In case of a positive waveguide consisting of a solid state, no cavity would be present between the two inner faces. At the respective positive waveguide, it is ensured by the choice of the appropriate material that total reflection occurs in the interior of the waveguide, especially at the inner faces.

(32) A first distance between the entry end 22 and the exit end 24 defines a length L of the waveguide 20. A second distance between the first 26 and the second inner face 28 defines a thickness D of the waveguide. Further, a central plane M of the waveguide 20 extends centrally from the entry end 22 to the exit end 24. Centrally from the entry end 22 to the exit end 24 refers here to the geometric center. With respect to the waveguide 20 shown having a longitudinal shape transverse to the direction of the laser light, the thickness D, i.e. the second distance between the inner faces 26, 28, is at the entry end 22 as well as at the exit end 24 for example 5 mm. The central plane M would then have a distance to the first 26 and the second inner face 28 of 2.5 millimeters. In this example, it is assumed that the thickness at the exit end 24 corresponds or is equal to the thickness at the entry end 22. Other configurations are possible so that the thickness at the entry end 22 is larger or smaller compared to the exit end 24 in other embodiments.

(33) As can be seen especially from FIG. 2, the first inner face 26 comprises a continuously curved, concave shape. In the cross-section of the waveguide 20, the first inner face 26 is thus curved to the outside. In the embodiment shown, this continuously curved concave shape is part of an ellipse. Due to this configuration of the first inner face 26, a third distance D.sub.1 between the first inner face 26 and the central plane M of the waveguide 20 varies continuously from the entry end 22 in the direction of the exit end 24.

(34) In the embodiment shown, the second inner face 28 is formed mirror symmetrical to the first inner face 26. The central plane M of the waveguide 20 servers as mirror plane. In this way, the second inner face 28 is constructed like the first inner face 26 so that both have a concave shape. A fourth distance D.sub.2 between the second inner face 28 and the central plane M of the waveguide 20 varies thus also continuously from the entry end 22 in the direction of the exit end 24. Other shapes of the second inner face 28 can also be realized, as for example a straight shape or a shape consisting of a plurality of straight segments.

(35) As can be also seen in FIG. 2, the third distance D.sub.1 first increases continuously from the entry end 22 in the direction of the exit end 24 up to an apex or vertex S.sub.1 and thereafter decreases continuously. Due to the mirror symmetrical configuration, this applies also to the second inner face 28 which has a second vertex S.sub.2. By means of this mirror symmetrical configuration, the interaction between the laser beams in the waveguide 20 is further reduced and the power density distribution in the welding seam is also further increased, which will be explained in detail based on the following FIGS. 3a to 8a.

(36) The continuously curved, concave shape of the first inner face 26 and thus also of the second inner face 28 is part of an ellipse. An ellipse has a large axis and a small axis. In the embodiment shown, the large axis lies in the central plane M and the small axis extends through the vertexes S.sub.1 and S.sub.2. The apexes on the large axis are denoted as main vertexes and the apexes on the small axis, here the vertexes S.sub.1 and S.sub.2, are denoted as sub-vertexes or auxiliary vertexes. The central point of the ellipse is in the point of intersection of the large and the small axis. The foci of the ellipse are arranged on both sides of the central point of the ellipse on the large axis, i.e. the first and the second focal point. The foci are thus arrange in the central plane M.

(37) The ellipse is defined as the geometrical place of all points for which the sum of the distances from the foci, i.e. the sum of the focal radii, is constantly equal to the distance between the main vertexes. This definition is reproduced in the following equation (7). For the ellipse, the following equations apply:

(38) $\begin{array}{cc}\frac{x^2}{a^2}+\frac{y^2}{b^2}=1& \left(1\right)\\ x=a*\cos \left(t\right)& \left(2a\right)\\ y=b*\sin \left(t\right)& \left(2b\right)\\ c=\sqrt{a^2-b^2}& \left(3\right)\\ e=\frac{c}{a}& \left(4\right)\\ r_1=a-e*x& \left(5\right)\\ r_2=a+e*x& \left(6\right)\\ r_1+r_2=2a.& \left(7\right)\end{array}$

(39) It is:

(40) x, y the coordinates of a point on the ellipse,

(41) a the distance between main vertex and central point of the ellipse,

(42) b the distance between sub-vertex and central point of the ellipse,

(43) t angle starting from a main vertex,

(44) c distance between the foci,

(45) e orbital eccentricity of the ellipse,

(46) r.sub.1 focal radius of the first focal point and

(47) r.sub.2 focal radius of the second focal point.

(48) In the embodiment shown, the thickness D at the entry end is about 15% of the length L of the waveguide 20. Advantageous are values between 8% and 25%, preferably 10% to 20% of the length of the waveguide 20. The vertexes S.sub.1 and S.sub.2 are arranged at the half of the length L. Here, the arrangement of the vertexes in a range between ¼ and ¾ of the length of the waveguide 20 is advantageous, wherein the arrangement in a range between ⅓ and ⅔ is preferred. The thickness in the vertex is in the embodiment shown 1.6-times the thickness at the entry end 22, wherein values between 1.2-times to 2-times are advantageous and values between 1.4-times and 1.8-times are preferred. Each of these features taken alone realizes an improvement of the power density distribution in the welding seam of the components to be welded.

(49) For an exemplarily calculation and based on the above relations, the following is assumed:

(50) thickness D at the entry end and at the exit end: 5 mm

(51) thickness D at the vertexes S.sub.1 and S.sub.2: 8 mm and

(52) length L of the waveguide: 33.33 mm.

(53) From this, the following known values for the ellipse result:

(54) TABLE-US-00001 b: 4 mm first point (x, y): +16.67 mm, +2.5 mm second point (x, y): −16.67 mm, +2.5 mm third point (x, y): +16.67 mm, −2.5 mm third point (x, y): +16.67 mm, −2.5 mm

(55) The positive y-values of 2.5 mm at the x-values+16.67 mm and −16.67 mm belong to the first inner face 26 and the negative y-values belong to the second inner face 28, respectively. In the following, the first point (16.67 mm, 2.5 mm) is used for calculating the ellipse. As the thickness at the entry end 22 and at the exit end 24 are equal and the inner faces 26, 28 are mirror symmetrical, this single point is sufficient to calculate the ellipse based on the above known values and thus to calculate the course of the first 26 and the second inner face 28.

(56) First, the equation (2b) is solved for sin(t), wherein a value of 0.625 results for sin(t). The value fort is thus 0.675, which corresponds to an angle of 38.68°. The value for t=0.675 is plugged in equation (2a), which is solved for a. From this, a value for a of 21.35 mm results so that the main vertexes are 42.70 mm apart. The distance between the foci according to equation (3) is thus c=20.98 mm. The foci are thus arranged on the x-axis at values of +10.49 mm and −10.49 mm. As orbital eccentricity a value of e=0.982 results according to equation (4). Based on this, the parameters of the ellipse are now known.

(57) Now referring to FIGS. 3a to 5b, the course of laser light in a waveguide having solely straightly extending inner faces and the inventive waveguide 20 are compared. At this, FIGS. 3a, 4a and 5a refer to the waveguide with straight inner faces and thus to a straight course 3 of laser light. The FIGS. 3b, 4b and 5b are related to an embodiment of the inventive waveguide 20 and thus to an elliptically-shaped course 5 of light. Further, the behavior of the laser light after exiting the waveguide is shown at no displacement, i.e. displacement 0 mm, between waveguide and component (FIG. 3), 0.5 mm displacement (FIG. 4) and 1.0 mm displacement (FIG. 5). As can already be seen based on the comparison of FIGS. 3a and 3b, the laser light can be bundled better in the component 15 by means of the inventive waveguide 20. This effect is extremely measurable with increasing displacement so that in the depiction of FIG. 5a and upon the usage of the waveguide with straightly extending inner faces, a major part of the laser light does not reach the welding zone. In contrast to this, even at a displacement of 1.0 mm between component 15 and the embodiment of the waveguide 20, the laser light reaches the welding zone as shown in FIG. 5b. In the examples shown the welding zone is arranged in a portion of the T-shaped component 15 which faces away from the waveguide.

(58) Further referring to FIGS. 6b to 7b, the course of laser light after the component 15 is shown. Again, the FIGS. 6a and 7a refer to the waveguide with straight inner faces and the FIGS. 6b and 7b refer to the embodiment of the inventive waveguide 20. It can be clearly seen that the laser light with the waveguide 20 is separated in three strands after the component 15. This indicates again that a better power density distribution of the laser light in the welding zone is present. The FIGS. 7a and 7b show respectively enlarged sections of FIGS. 6a and 6b.

(59) Finally and with the respect to FIGS. 8a and 8b, a comparison of the interaction of laser beams in the respective waveguides is shown. FIG. 8a shows the waveguide 7 with straight inner faces as well as an entry end 8 and an exit end 9. FIG. 8b shows the embodiment of the inventive waveguide 20. Based on this comparison it can be clearly seen that the interaction between the laser beams in the waveguide 20 is remarkably reduced compared to the waveguide 7 with straight inner faces, which contributes further to the improvement of the waveguide.

(60) An advantage of this embodiment of the waveguide 20 is thus that the beams of the laser light have less interaction with each other in the waveguide 20 compared to a waveguide 7 with straight inner faces and the laser light can be bundled more powerful at the exit end by means of the waveguide 20. Due to this, an especially homogeneous power density distribution can be achieved at the welding seam by means of the waveguide and a larger tolerance between waveguide 20 and the components to be welded can be compensated which increases the simplicity of the usage of an arrangement using the waveguide 20.

(61) Now referring to FIG. 9, an embodiment of an arrangement 100 for plastic welding with an embodiment of a second negative waveguide 120 according to the present invention is shown in perspective sectional view. In the arrangement 100, laser light is guided via a plurality of preferably flexible light guides 110 to the waveguide 120. The light guides 110 are connected at an entry end 122 with the waveguide 120, as shown in FIG. 11. The laser light is guided through the waveguide 120 to the components 115 to be welded, one of which is the transmission component 117 and the other of which is the absorption component 119. To this end, it is an object of the waveguide 120 to homogenize the laser light from the light guides 110 so that the power density distribution of the laser light in the welding zone or at the welding seam is as uniformly as possible. As can be especially seen based on FIGS. 11 and 12, upon welding of the two components 117 and 119, an undercut has to be considered which is formed by the protrusion of the absorption component 119 into a respective recess of the transmission component 117. For a better understanding of the following explanations, FIG. 10 shows the course 113 of the laser light through the waveguide 120 during operation of the arrangement 100.

(62) Referring to FIGS. 11 and 12, the detailed construction of the waveguide 120 is explained. The waveguide 120 comprises the entry end 122 defining an entry face for the laser light and the exit end 124 defining an exit face for the laser light. A first 126 and a second inner face 128 extend between the entry end 122 and the exit end 124. The two inner faces 126 and 128 are arranged opposite to each other and reflect the laser light during operation of the arrangement 100. In other embodiments, the second inner face 128 is a straight line between the entry end 122 and the exit end 124 or consists of a plurality of straight sections. At the embodiment with straight segments as well as at the curved embodiment, it may be that the space between the first 126 and the second inner face 128 is not larger as the space at a second inner face 128 extending straightly between entry end 122 and exit end 124. A curvature of the second inner face 128 is thus convex.

(63) The entry face of the entry end 122 is defined by the plane in which the first ends of the first 126 and second inner face 128 are arranged at the entry end 122 of the waveguide 120. In the embodiment shown, the laser light enters the waveguide 120 perpendicular to the entry face at the entry end 122. The exit end 24 with the exit face is defined, analogously to the entry face, by the plane in which the second ends of the first 126 and the second inner face 128 are arranged at the exit end 124 of the waveguide 120. In the embodiment shown, the exit face and the entry face enclose an angle at about 70°. Generally it is advantageous if the angle enclosed between entry end 122 and exit end 124 is in a range of 30° to 150°, preferably 40° to 120°. The laser light from the light guide 110 enters the waveguide 120 preferably perpendicular to the entry face.

(64) The waveguide 120 with the entry end 122 and the exit end 124 is adapted in the embodiment shown to a desired seam contour of the components 115 to be welded. The waveguide 120 has thus a rectangular shape with rounded edges and encloses thus the components 115 to be welded, as shown in FIG. 9.

(65) Due to the configuration of the waveguide 120 as negative waveguide 120, a cavity is present between the two inner faces 126 and 128 and the two inner faces are provided with a reflecting layer. Usually, the negative waveguide 120 has thus a channel like shape. In case of a positive waveguide consisting of a solid state, no cavity would be present between the two inner faces, as has been explained initially. At the respective positive waveguide, it is ensured by the choice of the appropriate material that total reflection occurs in the interior of the waveguide, especially at the inner faces.

(66) A first distance between the entry end 122 and the exit end 124 defines a length L of the waveguide 120. Preferably, this length is not defined by a straight line between entry end 122 and exit end 124 but by a way of the laser light in the waveguide 120, especially by a guide beam along a central plane M, is explained below. A second distance between the first 126 and the second inner face 128 defines a thickness D of the waveguide 120. The thickness D of the waveguide 120 decreases continuously form the entry end 122 in the direction of the exit end 124. In this way, a further focus effect of the laser light from the entry end 122 in the direction of the exit end 124 is achieved.

(67) As can be especially seen based on FIGS. 9 and 11, the first inner face 126 has a continuously curved concave shape. This continuously curved concave shape is in the embodiment shown part of a first spiral. Due to this shaping of the first inner face 126, a radius of the first spiral varies continuously from a point of origin U.sub.1 of the first spiral to the first inner face 126 along the waveguide 120. The point of origin U.sub.1 of the first spiral is defined by an intersection of two straight lines spaced apart from each other, extending from the first inner face 126 and which are arranged in a common cross-sectional plane of the waveguide 120. A spiral as two-dimensional figure is generally defined in that the radius varies continuously starting from the point of origin. This distinguishes the spiral for example from a circle, wherein the radius is always constant.

(68) In the embodiment shown, the shape of the first inner face 124 is part of a logarithmic spiral which is based on the Fibonacci-sequence. A logarithmic spiral is defined as a curve, which intersects all beams or straight lines extending from the point of origin 0 in the same angle α. Thus, in the case of a logarithmic spiral and if a partial section of the spiral is present, the point of origin can be determined, in case the angle α is known. As a spiral is a two-dimensional figure, the waveguide has to be viewed in cross-section. A direction vector of the straight line extends in that case from the first inner face in the direction of the second inner face. In case the shape of the second inner face is also based on a spiral, such as in the embodiment shown, the direction vector of the respective straight line extends away from the first inner face. Exemplarily straight lines G.sub.11, G.sub.12, G.sub.21 and G.sub.22, which intersect each other in the respective point of origin U.sub.1 or U.sub.2, are shown for clarity reasons in FIG. 11. The equation of the logarithmic spiral in polar coordinates are ρ=ae.sup.kφ with a>0, wherein k=cot(α). The radius of curvature r of the logarithmic spiral is defined as r=√{square root over (1+(cot(α)).sup.2)}ρ. The zero point is the asymptotic point of the curve. The length of the curve between the first end and the second end of the first inner face and/or the second inner face is in the case of the logarithmic spiral

(69) $L=\frac{\sqrt{1+k^2}}{k}\left({\rho }_2-{\rho }_1\right).$
At a waveguide 120 being already present, this length can be measured.

(70) Other spiral types can be used also. According to an alternative, an Archimedean spiral is used as first spiral. A curve which results from a movement of a point with a constant velocity υ on a beam which revolves around the point of origin in a constant angular velocity ω is denoted as Archimedean spiral. The equation of the Archimedean spiral in polar coordinates is

(71) $\rho =a\phi \mathrm{with}a=\frac{\upsilon }{\omega }\mathrm{and}a>0.$
For or me radius of curvature r of the Archimedean spiral it applies

(72) $r=a\frac{{\left({\phi }^2+1\right)}^{3/2}}{{\phi }^2+2}.$
In a further alternative, a hyperbolic spiral is used as first spiral. The curve of the hyperbolic spiral consists of two branches which extend symmetrically to the y-axis. For both branches, the straight line y=a is the asymptote and the point of origin is asymptotic point. The equation of the hyperbolic spiral in polar coordinates is

(73) $\rho =\frac{a}{\phi }$
with a>0. For the radius of curvature r of the hyperbolic spiral it applies

(74) $r=\frac{a}{\phi }{\left(\frac{\sqrt{1+{\phi }^2}}{\phi }\right)}^3.$

(75) In the embodiment shown, the radius of the first spiral decreases continuously from the point of origin U.sub.1 of the first spiral to the first inner face 126 along the waveguide 120 from the entry end 122 to the exit end 124. In another embodiment, the radius increases continuously in this course of direction. Based on the angle between entry end 122 and exit end 124 which is desired for a respective application, for example due to undercuts being present at the components 115 to be welded or the available installation space, the desired section of the spiral can be chosen to realize the concave shape of the first inner face 126.

(76) Between the first 126 and the second inner face 128, a central plane is defined, the distance of which is constant with respect to the first 126 and the second inner face 128 along the length of the waveguide 120 so that the second inner face 128 also has a continuously curved shape. This shape of the second inner face 128 is part of a second spiral, especially a second natural spiral, so that a radius of the second spiral varies continuously from a point of origin U.sub.2 of the second spiral to the second inner face 128 along the waveguide 120. The point of origin U.sub.2 is determined analogously to the point of origin U.sub.1 of the first spiral, as described above. Due to this configuration, laser light can be guided very effectively within the waveguide 120.

(77) A length of the first inner face of the waveguide 120 is in the range of 3-times to 4-times, especially of 3.5-times, of a distance between the individual light guides 110 from the plurality of light guides 110. In this way, an especially compact construction of the waveguide can be achieved and a collision of the light guides 110 in corner portions can be avoided, as schematically shown in FIG. 13.

(78) For the sake of completeness, FIG. 14 shows an overlapping view of a waveguide having straightly extending inner faces and the waveguide 120 as it has been described above.

(79) An advantage of the waveguide 120 is that lower energy losses occur in the interior of the waveguide 120 and the laser light can be guided especially effectively through the waveguide 120 to a welding seam. Thereby, and compared to known waveguides, more welding energy is provided at the weld seam of the components 115, especially if the components have an undercut at the welding seam. Further, and with respect to a closed angular or cornered shape of the entry end 122 and the exit end 124, the light guides 110 can be incorporated more effectively into an arrangement 100 for laser welding, especially at the corners, due to the spiral shape of the first inner face as collisions of the light guides 110 at the corners are reduced.

(80) Now referring to FIG. 15, a flow chart of an embodiment of a welding method is shown. The method for plastic welding, especially for laser transmission welding, with one of the above described arrangements 1; 100 comprises first of all the step of arranging (step A) two plastic components to be welded to each other in a mounting device. Thereafter, the step of creating (step B) laser light by means of a laser light source follows. Here, the laser light passes through the light guide 110, may be a plurality of light guides 110, and subsequently through one of the above described waveguides 20; 120. In step C, the welding of the plastic components to be welded to each other by means of the laser light exiting the waveguide 20; 120 occurs.

(81) FIG. 16 shows an embodiment of a manufacturing method of a negative waveguide. In step i, the providing of a first and a second inner face for the later waveguide takes place. In a second step ii, an applying of a reflecting layer onto the first and the second inner face takes place. Alternatively, the first and the second inner face may already be provided with a reflecting layer. In the third step iii, the first and the second inner face will be arranged such that they are opposite to each other. A first end of the first and the second inner face defines an entry end of the waveguide, which defines an entry face for laser light, and a second end of the first and the second inner face defines an exit end of the waveguide, which defines an exit face for laser light. A first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide.

(82) Depending on the waveguide 20; 120 to be manufactured, the steps of the manufacturing method vary. In a first alternative and for manufacturing the waveguide 20, the inner faces will be arranged in step iii such that the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end. To this end, the first inner face was provided with a continuously curved concave shape or has been brought into such a shape prior to the coating. A third distance between the first inner face and the central plane of the waveguide varies in this case continuously from the entry end in the direction of the exit end.

(83) In a second alternative, the first inner face was provided with a continuously curved concave shape or has been brought into such a shape, which is part of a first spiral, especially a first natural spiral. A radius of the first spiral varies continuously from a point of origin of the first spiral to the first inner face along the waveguide. In this alternative, step iii is thus omitted.

(84) FIG. 17 shows a flow chart of an embodiment of a manufacturing method of a positive waveguide according to the invention. Here, in contrast to the manufacturing method according to FIG. 16, a solid state of a light guiding material is provided in a first step I. The solid state comprises an entry end defining an entry face for laser light and an exit end defining an exit face for laser light. Further, the solid state has a first side face defining a first inner face and a second side face defining a second inner face. The first and the second inner face are arranged opposite to each other and the solid state consists of a material which realizes a total reflection of laser light at the first and the second inner face. A first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide.

(85) Depending on the waveguide to be manufactured, the steps of the manufacturing method differ. In a first alternative and for producing a waveguide, the inner face of which has a shape being part of an ellipse, the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end. The method then comprises as second step II the forming of the first side face such that the first inner face has a continuously curved concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end.

(86) In a second alternative and for manufacturing a waveguide, the inner face of which has a shape being part of a spiral, the method comprises the third step III of forming the first side face such that the first inner face has a continuously curved concave shape which is part of a first spiral, especially a first natural spiral. A radius of the first spiral varies here continuously from a point of origin of the first spiral to the first inner face along the waveguide.

(87) While the forms of the invention herein disclosed constitute presently preferred embodiments, many others are possible. It is not intended herein to mention all the possible equivalent forms or ramifications of the invention. It is understood that the terms used herein are merely descriptive, rather than limiting, and that various changes may be made without departing from the spirit or scope of the invention.

LIST OF SOME EMBODIMENTS

(88) 1. A negative waveguide for plastic welding, especially for laser transmission welding, comprising:

(89) an entry end defining an entry face for laser light,

(90) an exit end defining an exit face for laser light as well as

(91) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(92) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein

(93) the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end, and

(94) the first inner face comprises a continuously curved, concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end.

(95) 2. A positive waveguide for plastic welding, especially for laser transmission welding, comprising:

(96) an entry end defining an entry face for laser light,

(97) an exit end defining an exit face for laser light as well as

(98) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(99) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein

(100) the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end, and

(101) the first inner face comprises a continuously curved, concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end.

(102) 3. Waveguide according to embodiment 1 or 2, in which the third distance increases or decreases continuously from the entry end in the direction of the exit end.

(103) 4. Waveguide according to one of the preceding embodiments, in which the second inner face is formed mirror-symmetrically to the first inner face so that the second inner face has a continuously curved concave shape and a fourth distance between the second inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end.

(104) 5. Waveguide according to one of the preceding embodiments, in which the thickness at the entry end is between 8% and 25%, preferably 10% to 20% of the length of the waveguide.

(105) 6. Waveguide according to one of the preceding embodiments, in which the third distance increases from the entry end in the direction of the exit end up to an apex and decreases thereafter, wherein the apex is arranged with respect to the length in a range between ¼ and ¾ of the length of the waveguide, preferably in a range between ⅓ and ⅔ and especially preferred at about ½.

(106) 7. Waveguide according to one of the preceding embodiments, in which the thickness at the exit end is equal to the thickness at the entry end.

(107) 8. Waveguide according to one of the preceding embodiments, in which the third distance increases from the entry end in the direction of the exit end up to an apex and decreases thereafter, wherein the thickness in the apex is about 1.2- to 2-times, preferably 1.4- to 1.8-times and especially preferred 1.6-times the thickness at the entry end.

(108) 9. Waveguide according to one of the preceding embodiments, in which the continuously curved concave shape of the first inner face is part of an ellipse.

(109) 10. A negative waveguide for plastic welding, especially for laser transmission welding comprising:

(110) an entry end defining an entry face for laser light,

(111) an exit end defining an exit face for laser light as well as

(112) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(113) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines the thickness of the waveguide, and

(114) the first inner face comprises a continuously curved concave shape which is part of a first spiral, especially a first natural spiral, so that a radius of the first spiral from a point of origin of the first spiral to the first inner face varies continuously along the waveguide.

(115) 11. A positive waveguide for plastic welding, especially for laser transmission welding comprising:

(116) an entry end defining an entry face for laser light,

(117) an exit end defining an exit face for laser light as well as

(118) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(119) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines the thickness of the waveguide, and

(120) the first inner face comprises a continuously curved concave shape which is part of a first spiral, especially a first natural spiral, so that a radius of the first spiral from a point of origin of the first spiral to the first inner face varies continuously along the waveguide.

(121) 12. Waveguide according to one of the embodiments 10 or 11, in which the radius of the first spiral increases or decreases continuously from the point of origin of the first spiral to the first inner face along the waveguide from the entry end in the direction of the exit end.

(122) 13. Waveguide according to one of the embodiments 10 to 12, wherein an angle in the range of 30° to 150°, preferably 40° to 120° is enclosed between the entry end and the exit end.

(123) 14. Waveguide according to one of the embodiments 10 to 13, in which a central plane is defined between the first and the second inner face, the distance of which is constant to the first and the second inner face along the length of the waveguide so that the second inner face also has a continuously curved shape which is part of a second spiral, especially a second natural spiral, so that a radius of the second spiral from a point of origin of the second spiral to the second inner face varies continuously along the wave guide.

(124) 15. Waveguide according to one of the embodiments 10 to 14, in which the thickness of the waveguide decreases continuously from the entry end in the direction of the exit end.

(125) 16. Waveguide according to one of the embodiments 10 to 15, wherein the concave continuously curved shape, which is part of a spiral, is chosen from one of the following spiral types: hyperbolic, Archimedean, logarithmic or from a spiral based on the Fibonacci-sequence.

(126) 17. A negative waveguide for plastic welding, especially for laser transmission welding comprising:

(127) an entry end defining an entry face for laser light,

(128) an exit end defining an exit face for laser light as well as

(129) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(130) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines the thickness of the waveguide, and

(131) the first inner face comprises a continuously curved concave shape which is part of a first curve.

(132) 18. A positive waveguide for plastic welding, especially for laser transmission welding comprising:

(133) an entry end defining an entry face for laser light,

(134) an exit end defining an exit face for laser light as well as

(135) a first and a second inner face which are arranged between the entry end and the exit end, which are arranged opposite to each other and by means of which laser light can be reflected, wherein

(136) a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines the thickness of the waveguide, and

(137) the first inner face comprises a continuously curved concave shape which is part of a first curve.

(138) 19. Arrangement for plastic welding, especially for laser transmission welding, comprising:

(139) a laser light source,

(140) a light guide, preferably a plurality of light guides, and

(141) a waveguide according to one of the preceding embodiments 1 to 18, wherein in the operation of the arrangement the laser light passes from the laser light source through the light guide and subsequently through the waveguide.

(142) 20. Arrangement according to embodiment 19, using a waveguide according to one of the embodiments 10 to 18 as well as a plurality of waveguides, wherein a length of the first inner face of the waveguide is in the range of 3-times to 4-times, especially of 3.5-times, of a distance between the individual light guides from the plurality of light guides.

(143) 21. Method for plastic welding, especially for laser transmission welding, with an arrangement according to one of the embodiments 19 or 20, comprising the following steps:

(144) a. arranging two plastic components to be welded to each other in a mounting device,

(145) b. creating laser light by means of a laser light source, wherein the laser light passes through the light guide, preferably a plurality of light guides, and subsequently through a waveguide according to one of the embodiments 1 to 18, and

(146) c. welding the plastic components to be welded to each other by means of the laser light exiting the waveguide.

(147) 22. Manufacturing method of a negative waveguide according to one of the embodiments 1, 3 to 9 in combination with 1, 10, 12 to 16 in combination with 10, or 17, comprising the steps:

(148) a. providing a first and a second inner face,

(149) b. applying a reflecting layer on the first and the second inner face,

(150) c. arranging the first and the second inner face such that they are opposite to each other, wherein

(151) d. a first end of the first and the second inner face define an entry end of the waveguide, which defines an entry face for laser light, and a second end of the first and the second inner face define an exit end of the waveguide, which defines an exit face for laser light, wherein

(152) e. a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein

(153) f1. the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end while the first inner face has a continuously curved concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end or

(154) f2. the first inner face has a continuously curved concave shape which is part of a first spiral, especially a first natural spiral so that the radius of the first spiral varies continuously from a point of origin of the first spiral to the first inner face along the waveguide or

(155) f3. the first inner face has a continuously curved concave shape which is part of a first curve.

(156) 23. Manufacturing method of a positive waveguide according to one of the embodiments 2, 3 to 9 in combination with 2, 11, 12 to 16 in combination with 11, or 18, comprising the steps:

(157) a. providing a solid state of a light guiding material, wherein the solid state comprises an entry end defining an entry face for laser light and an exit end defining an exit face for laser light, wherein

(158) b. the solid state has a first side face defining a first inner face and a second side face defining a second inner face wherein the first and the second inner face are arranged opposite to each other and the solid state consists of a material which provides a total reflection of laser light at the first and the second inner face while

(159) c. a first distance between the entry end and the exit end defines a length of the waveguide and a second distance between the first and the second inner face defines a thickness of the waveguide, wherein

(160) d1. the exit end is arranged opposite to the entry end and a central plane of the waveguide extends centrally from the entry end to the exit end and the method comprises the step: forming the first side face such that the first inner face has a continuously curved concave shape so that a third distance between the first inner face and the central plane of the waveguide varies continuously from the entry end in the direction of the exit end or

(161) d2. the method comprises the further step of: forming the first side face such that the first inner face has a continuously curved concave shape which is part of a first spiral, especially a first natural spiral, so that a radius of the first spiral from a point of origin of the first spiral to the first inner face varies continuously along the waveguide or

(162) d3. the method comprises the further step of: forming the first side face such that the first inner face has a continuously curved concave shape which is part of a first curve.