A MEASUREMENT HEAD FOR DETERMINING A POSITION OF AT LEAST ONE OBJECT
20210364610 · 2021-11-25
Inventors
Cpc classification
G02B26/103
PHYSICS
G01S17/42
PHYSICS
International classification
G01S7/481
PHYSICS
G01S17/42
PHYSICS
Abstract
Described herein is a measurement head for determining a position of at least one object including at least one transfer device, where the transfer device has at least one focal length in response to at least one incident light beam propagating from the object to the measurement head, and
at least two optical receiving fibers, where at least one of the optical receiving fibers and/or the transfer device has a ratio ε.sub.r/k≥0.362 (m.Math.K)/W, where k is the thermal conductivity and ε.sub.r is the relative permittivity.
Claims
1. A measurement head (110) for determining a position of at least one object (112) comprising: at least one transfer device (114), wherein the transfer device (114) has at least one focal length in response to the at least one incident light beam (122) propagating from the object (112) to the measurement head (110); and at least two optical receiving fibers (116), wherein at least one of the optical receiving fibers (116) and/or the transfer device (114) has a ratio ε.sub.r/k≥0.362 (m.Math.K)/W, wherein k is the thermal conductivity and ε.sub.r is the relative permittivity.
2. The measurement head (110) according to claim 1, wherein at least one of the optical receiving fibers (116) and/or the transfer device (114) has the ratio ε.sub.r/k≥0.743 (m.Math.K)/W.
3. The measurement head (110) according to claim 1, wherein the ratio ε.sub.r/k is in a range 0.362 (m.Math.K)/W≤ε.sub.r/k≤1854 (m.Math.K)/W.
4. The measurement head (110) according to claim 1, wherein the transfer device (114) has a ratio ν.sub.e/n.sub.D in a range 9.05≤ν.sub.e/n.sub.D≤77.3, wherein ν.sub.e is the Abbé-number and n.sub.D is the refractive index, wherein the Abbé-number ν.sub.e is given by wherein n.sub.D is the refractive index for different wavelengths, wherein n.sub.C is the refractive index for 656 nm, n.sub.D is the refractive index for 589 nm and n.sub.F is the refractive index for 486 nm.
5. The measurement head (110) according to claim 1, wherein a product αΔn is αΔn≤110 dB/km at at least one wavelength in a visual and near infrared wavelength range, wherein α is the attenuation coefficient and Δn is the refractive index contrast with Δn=(n12−n22)/(2n12), wherein n1 is the maximum core refractive index and n2 is the cladding refractive index.
6. The measurement head (110) according to claim 5, wherein the product α Δn is α Δn≤23 dB/km.
7. The measurement head (110) according to claim 1, wherein the transfer device (114) has an aperture area D.sub.1 and at least one of the optical receiving fibers (116) has a fiber core (166) with a cross-sectional area D.sub.2, wherein a ratio D.sub.1/D.sub.2 is in a range 0.54≤D.sub.1/D.sub.2≤5087.
8. The measurement head (110) according to claim 1, wherein the measurement head (110) comprises at least one spacer device (124), wherein the spacer device (124) is configured for connecting the at least one transfer device (114) and at least one of the optical receiving fibers (116).
9. The measurement head (110) according to claim 8, wherein the spacer device (124) comprises a solid volume V.sub.s and a hollow volume V.sub.h, wherein a ratio of solid volume and hollow volume V.sub.s/V.sub.h is in a range 0.013≤V.sub.s/V.sub.h≤547.
10. The measurement head (110) according to claim 1, wherein the measurement head (110) further comprises an illumination source (130) for illuminating the object (112), wherein the illumination source (130) has a geometrical extend G in a range 1.5.Math.10.sup.−7 mm.sup.2.Math.sr≤G≤314 mm.sup.2.
11. The measurement head (110) according to claim 1, wherein each optical receiving fiber (116) comprises the at least one fiber cladding (168) and the at least one core (166), wherein a ratio d.sub.1/BL is in a range 0.0011≤d.sub.1/BL≤513, where d.sub.1 is the diameter of the core (166) and BL is a baseline.
12. The measurement head (110) according to claim 1, wherein each optical receiving fiber (116) has at least one entrance face (118), wherein a geometric center of the respective entrance face (118) is aligned perpendicular with respect to an optical axis (120) of the transfer device (114).
13. The measurement head (110) according to claim 1, wherein at least one of the optical receiving fibers (116) is a structured fiber having a shaped and/or structured entrance (118) and/or exit face.
14. The measurement head (110) according to claim 1, wherein the measurement head (110) comprises at least one actuator (164) configured to move the measurement head (110) to scan a region of interest.
15. A kit (126) comprising at least one measurement head (110) according to claim 1 and a detector (128) for determining a position of at least one object (112), the detector (128) comprising: at least two optical sensors (140), wherein each optical sensor (140) has at least one light sensitive area (146), wherein each optical sensor (140) is designed to generate at least one sensor signal in response to an illumination of its respective light-sensitive area (146) by a light beam having passed through at least one of the optical receiving fibers (116) of the measurement head (110); and at least one evaluation device (148) being configured for determining at least one longitudinal coordinate z of the object (112) by evaluating a combined signal Q from the sensor signals.
16. The kit (126) according to claim 15, wherein the evaluation device (148) is configured for deriving the combined signal Q by one or more of dividing the sensor signals, dividing multiples of the sensor signals, or dividing linear combinations of the sensor signals.
17. The kit (126) according to claim 16, wherein the evaluation device (148) is configured for using at least one predetermined relationship between the combined signal Q and the longitudinal coordinate for determining the longitudinal coordinate.
18. The kit (126) according to claim 15, wherein the optical sensors (140) are partial diodes of a bi-cell or quadrant diode and/or comprise at least one CMOS sensor.
19. A method for determining a position of at least one object (112), the method comprising the following steps: providing at least one measurement head (110), the measurement head (110) comprising: at least one transfer device (114), wherein the transfer device (114) has at least one focal length in response to the at least one incident light beam (122) propagating from the object (112) to the measurement head (110); at least two optical receiving fibers (116), wherein at least one of the optical receiving fibers (116) and/or the transfer device (114) has a ratio ε.sub.r/k≥0.362 (m.Math.K)/W, wherein k is the thermal conductivity and ε.sub.r is the relative permittivity; providing at least one detector (128), the detector (128) comprising at least two optical sensors (140), wherein each optical sensor (140) has at least one light-sensitive area (146), wherein each optical sensor (140) is designed to generate at least one sensor signal in response to an illumination of its respective light-sensitive area (146) by a light beam having passed through at least one of the optical receiving fibers (116) of the measurement head (110); illuminating each light-sensitive area (146) of at least two optical sensors (140) of the detector (128) with at least one light beam having passed through at least one of the optical receiving fibers (116), wherein, thereby, each of the light-sensitive areas (146) generates at least one sensor signal; and evaluating the sensor signals, thereby, determining at least one longitudinal coordinate z of the object (112), wherein the evaluating comprises deriving a combined signal Q of the sensor signals.
20. A method of using the measurement head (110) according to claim 1, the method comprising using the measurement head (110) for a purpose, selected from the group consisting of: a position measurement in traffic technology; an entertainment application; an optical data storage application; a security application; a surveillance application; a safety application; a human-machine interface application; a logistics application; an endoscopy application; a medical application; a tracking application; a photography application; a machine vision application; a robotics application; a quality control application; a 3D printing application; an augmented reality application; a manufacturing application; and a purpose in combination with optical data storage and readout.
Description
BRIEF DESCRIPTION OF THE FIGURES
[0211] Further optional details and features of the invention are evident from the description of preferred exemplary embodiments which follows in conjunction with the dependent claims. In this context, the particular features may be implemented in an isolated fashion or in combination with other features. The invention is not restricted to the exemplary embodiments. The exemplary embodiments are shown schematically in the figures. Identical reference numerals in the individual figures refer to identical elements or elements with identical function, or elements which correspond to one another with regard to their functions.
[0212] Specifically, in the figures:
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DETAILED DESCRIPTION OF THE EMBODIMENTS
[0224] In
[0225] The optical receiving fibers 116 may have specific mechanical and optical properties to ensure stability of the distance measurement in a broad range of environments. The mechanical properties of the optical receiving fibers 116 may be identical or the mechanical properties of the optical receiving fibers 116 may differ. Without wishing to be bound by this theory, a light supporting function of optical receiving fibers 116 relies on relationships of refractive indices and certain energy transport properties. Further certain mechanical parameters may be prerequisite that all functions of the optical receiving fibers 116 are maintained in a stable way. Therefore, certain mechanical parameters may act as prerequisite to ensure a stable measurement itself. At least one of the optical receiving fibers and/or the transfer device has a ratio ε.sub.r/k≥0.362 (m.Math.K)/W. Preferably, at least one of the optical receiving fibers and/or the transfer device has the ratio ε.sub.r/k≥0.743 (m.Math.K)/W, preferably the ratio is ε.sub.r/k≥1.133 (m.Math.K)/W. At least one of the optical receiving fibers 116 and/or the transfer device 114 has the ratio ε.sub.r/k in the range 0.362 (m.Math.K)/W≤ε.sub.r/k≤1854 (m.Math.K)/W, wherein k is the thermal conductivity and ε.sub.r is the relative permittivity. The relative permittivity is also known as the dielectric constant. Preferably, the ratio ε.sub.r/k is in the range 0.743 (m.Math.K)/W≤ε.sub.r/k≤194 (m.Math.K)/W. More preferably, the ratio ε.sub.r/k is in the range 1.133 (m.Math.K)/W≤ε.sub.r/k≤88.7 (m.Math.K)/W. At least one of the optical receiving fibers 116 and/or the transfer device 114 may have a relative permittivity in the range 1.02≤ε.sub.r≤18.5, preferably in the range 1.02≤ε.sub.r≤14.5, more preferably in the range 1.02≤ε.sub.r≤8.7, wherein the relative permittivity is measured at 20° C. and 1 kHz. The optical receiving fibers 116 and/or the transfer device 114 may have a thermal conductivity of k≤24 (m.Math.K)/W, preferably k≤17 (m.Math.K)/W, more preferably k≤14 (m.Math.K)/W. The optical receiving fibers 116 and/or the transfer device 114 may have a thermal conductivity of k≥0.003 (m.Math.K)/W, preferably k≤0.007 (m.Math.K)/W, more preferably k≤0.014 (m.Math.K)/W. The thermal conductivity may be measured at 0° C. and <1% relative humidity. The transfer device 114 may have a ratio v.sub.e/n.sub.D in the range 9.05≤v.sub.e/n.sub.D≤77.3, wherein v.sub.e is the Abbé-number and n.sub.D is the refractive index. The Abbé-number v.sub.e is given by
wherein n.sub.i is the refractive index for different wavelengths, wherein n.sub.C is the refractive index for 656 nm, n.sub.D is the refractive index for 589 nm and n.sub.F is the refractive index for 486 nm, measured at room temperature, see e.g. https://en.wikipedia.org/wiki/Abbe_number. Preferably, the ratio v.sub.e/n.sub.D is in the range of 13.9≤v.sub.e/n.sub.D≤44.7, more preferably in the range of 15.8≤v.sub.e/n.sub.D≤40.1.
[0226] Each of the optical receiving fibers 116 may comprise the at least one cladding 168 and the at least one core 166. A product αΔn may be in the range 0.0004 dB/km≤αΔn≤110 dB/km at at least one wavelength in a visual and near infrared wavelength range, preferably at at least one wavelength selected from 656 nm, 589 nm, or 486 nm, wherein a the attenuation coefficient and Δn is the refractive index contrast with Δn=(n.sub.1.sup.2−n.sub.2.sup.2)/(2n.sub.1.sup.2), wherein n.sub.1 is the maximum core refractive index and n.sub.2 is the cladding refractive index. Preferably, the product αΔn is in the range 0.002 dB/km≤αΔn≤23 dB/km, more preferably in the range 0.02 dB/km≤αΔn≤11.26 dB/km. The refractive index contrast Δn may be in the range 0.0015≤Δn≤0.285, preferably in the range 0.002≤Δn≤0.2750, more preferably in the range 0.003≤Δn≤0.25. The attenuation coefficient of the optical receiving fiber 116 may be in the range 0.2 dB/km≤α≤420 dB/km, preferably in the range 0.25 dB/km≤α≤320 dB/km. The transfer device 114 may have an aperture area D.sub.1 and at least one of the optical receiving fibers may have the fiber core 166 with a cross-sectional area D.sub.2, wherein a ratio D.sub.1/D.sub.2 is in the range 0.54≤D.sub.1/D.sub.2≤5087, preferably 1.27≤D.sub.1/D.sub.2≤413, more preferably 2.17≤D.sub.1/D.sub.2≤59.2. A diameter d.sub.core of the core 166 of at least one of the optical receiving fibers may be in the range 2.5 μm≤d.sub.core≤10000 μm, preferably in the range 7 μm≤d.sub.core≤3000 μm, more preferably in the range 10 μm≤d.sub.core≤500 μm.
[0227] The optical receiving fibers 116 and/or the transfer device 114 may have a Youngs modulus, also denoted elastic modulus, of less or equal 188 GPa, measured at room temperature, for example by using ultrasonic testing. Preferably the optical receiving fibers 116 and/or the transfer device 114 may have a Youngs modulus of less or equal 167 GPa, more preferably in the range from to 0.0001 GPa to 97 GPa. The optical receiving fibers 116 and/or the transfer device 114 may have a Youngs modulus of greater or equal 0.0001 GPa, preferably of greater or equal 0.007 GPa, more preferably of greater or equal 0.053 GPa.
[0228] Each of the optical receiving fibers 116 may have at least one entrance face 118. A geometric center of the respective entrance face 118 may be aligned perpendicular with respect to an optical axis 120 of the transfer device 114. At least one of the optical receiving fibers 116 may have an entrance face 118 which is oriented towards the object 112. The optical receiving fibers 116 may be arranged in a direction of propagation of an incident light beam 122 propagating from the object 112 to the measurement head 1120 behind the transfer device 114. The optical receiving fibers 116 and the transfer device 114 may be arranged such that the light beam 122 passes through the transfer device 114 before impinging on the optical receiving fibers 116.
[0229] As shown in
[0230] In the embodiment of
[0231] The optical receiving fibers 116 may be arranged as such, that the light beam 122 impinges on the optical receiving fibers 116 between the transfer device 114 and the focal point of the transfer device 114. For example, a distance in a direction parallel to the optical axis 120 between the transfer device 114 and the position where the light beam 122 impinges on the optical receiving fibers 116 may be at least 20% of the focal length, more preferably at least 50% of the focal length, most preferably at least 80% of the focal length. For example, the distance in a direction parallel to the optical axis 120 between the entrance face 118 at least one of the optical receiving fibers 116 receiving the light beam 122 and the transfer device 114 may be at least 20% of the focal length, more preferably at least 50% of the focal length, most preferably at least 80% of the focal length.
[0232] In
[0233] In
[0234] The first optical sensor 142, in response to the illumination by the light beam 122, may generate a first sensor signal s.sub.1, whereas the second optical sensor 144 may generate a second sensor signal s.sub.2. Preferably, the optical sensors 140 are linear optical sensors. The sensor signals s.sub.1 and s.sub.2 are provided to an evaluation device 148 of the detector 128. The evaluation device 148 is embodied to derive a combined signal Q from the sensor signal, specifically by evaluating a quotient signal. From the combined signal Q, derived by dividing the sensor signals s.sub.1 and s.sub.2 or multiples or linear combinations thereof, may be used for deriving at least one item of information on a longitudinal coordinate z of the object 112. The evaluation device 148 may have at least one divider 150 for forming the combined signal Q, and, as an example, at least one position evaluation device 152, for deriving the at least one longitudinal coordinate z from the combined signal Q. It shall be noted that the evaluation device 148 may fully or partially be embodied in hardware and/or software. Thus, as an example, one or more of components 150, 152 may be embodied by appropriate software components.
[0235] The illumination source 130 may have a geometrical extend G in the range 1.5.Math.10.sup.−7 mm.sup.2.Math.sr≤G≤314 mm.sup.2.Math.sr, preferable in the range 1.Math.10.sup.5 mm.sup.2.Math.sr≤G≤22 mm.sup.2.Math.sr, more preferable in the range 3.Math.10.sup.−4 mm.sup.2.Math.sr≤G≤3.3 mm.sup.2.Math.sr. The geometrical extent G of the illumination source 130 may be defined by
G=A.Math.Ω.Math.n.sup.2,
wherein A is the area of the surface, which can be an active emitting surface, a light valve, optical aperture or the area of the fiber core 166 with A=A.sub.OF=π.Math.r.sup.2.sub.OF, and f is the projected solid angle subtended by the light and n is the refractive index of the medium. For rotationally-symmetric optical systems with a half aperture angle θ, the geometrical extend is given by
G=π.Math.A.Math.sin.sup.2(θ)n.sup.2.
[0236] For optical receiving fibers a divergence angle is obtained by θ.sub.max=arcsin(NA/n), where NA is the maximum numerical aperture of the optical receiving fiber.
[0237] The half aperture angle θ and/or the divergence angle θ.sub.max may be small. In particular, the half aperture angle θ may be in the range 0.01°≤42°; preferably in the range of 0.1°≤θ≤21°; more preferably in the range of 0.15°≤θ≤13° and/or the divergence angle θ.sub.max be in the range 0.01°≤θ.sub.max≤42°; preferably in the range of 0.1°≤θ.sub.max≤21°; more preferably in the range of 0.15°≤θ.sub.max≤13° The area A may be small. In particular, the area A may be smaller than 10 mm.sup.2, preferably smaller than 3 mm.sup.2, more preferably smaller than 1 mm.sup.2.
[0238] The measurement head 110 may comprise a small baseline. Each optical receiving fiber 116 comprises the at least one fiber cladding 168 and the at least one core 166. A ratio d.sub.1/BL may be in the range 0.0011≤d.sub.1/BL≤513, where d.sub.1 is the diameter of the core 166 and BL is the baseline. Preferably, the ratio d.sub.1/BL is in the range 0.0129≤d.sub.1/BL≤28, more preferable in the range 0.185≤d.sub.1/BL≤ and 7.1. The baseline may have an extend greater than 0. The baseline may be in the range 10 μm≤BL≤127000 μm, preferably in the range 100 μm≤BL≤76200 μm, more preferably in the range 500 μm≤BL≤25400 μm.
[0239] The measurement head 110 may comprise at least two or more fibers. The optical receiving fibers 116 may be at least one multifurcated optical receiving fiber, in particular at least one bifurcated optical receiving fiber. In the cut through in
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[0241] The measurement head 110 comprises one or more transfer devices 114, in particular collimating lenses.
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[0247] The measurement head 110 further may comprise the at least one transfer device 114. The transfer device 114 may be arranged in front of the optical receiving fibers 116. The transfer device 114 may be adapted to focus the light beam 122 on the proximal end. For example, the transfer device 114 may comprise at least one element selected from the group consisting of: at least one concave lens; at least one convex lens; at least one spherical lens; at least one tip-shaped lens; at least one prism shaped lens, in particular a non-rotationally symmetric lens. In addition, the measurement head 110 may comprise at least one spacer device 124 which is adapted to attach the transfer devices 114 to the optical receiving fibers 116. Optical paths of the first measurement fiber 160 and the second measurement fiber 162 may be fully or partially optically separated by mechanical means such as a fully or partially intransparent mechanical wall or cladding or the like to avoid internal reflections. This optical separation by mechanical means may be part of the spacer device 124.
[0248] The measurement head 110 may comprise the at least one optical illumination fiber 134. The optical illumination fiber 134 may comprise at least one first end adapted to receive the at least one light beam and at least one second end from where the at least one light beam leaves the optical illumination fiber 134 for illumination of the object 112. At least the second end of the optical illumination fiber 134 may be arranged within and/or may be attached to the measurement head 110. The optical illumination fiber 134 may be arranged parallel to the direction of expansion of the optical receiving fibers 116, for example, in a bundle with the optical receiving fibers 116. The detector may comprise the at least one further transfer device 110 which may be arranged in front of the optical illumination fibers 134.
[0249] The measurement head 110 may comprise at least one actuator 164 configured to move the measurement head 110 to scan a region of interest. Specifically, the actuator 164 may be attached and/or coupled and/or connected to the optical receiving fibers 116 and/or the optical illumination fiber 134 and may be adapted to generate a force causing the optical receiving fibers 116 and/or the optical illumination fibers 134 to move, in particular to oscillate. Thus, by driving the optical receiving fiber 116 and/or the optical illumination fiber 134 the measurement head 110 moves. The actuator 164 may be adapted to generate a force corresponding to a harmonic of a natural resonant frequency of the optical receiving fibers 116 and/or the optical illumination fiber 134. The actuator 164 may comprise at least one electromechanical actuator and/or at least one piezo actuator. The piezo actuator may comprise at least one actuator selected from the group consisting of: at least one piezoceramic actuator; at least one piezoelectric actuator. The actuator 164 may be configured to cause the measurement head 110, specifically the optical illumination fiber 134 and/or the optical receiving fibers 116 to oscillate. The actuator 164 may be adapted to move the measurement head 110 in a linear scan and/or a radial scan and/or a spiral scan. In
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[0252] In order to assess the measurement stability of the measurement head 110, in an experimental setup, 20 mm spark gaps with each 25 kV were placed on each side of the measurement head 110 in a distance of 20 mm to the measurement head 110. Sparks were fired alternatingly on each side of the measurement head 110. In a length of 200 mm of the optical receiving fibers 116 including the measurement head 110 and the spark gaps were placed in a climate chamber and heated in steps of 20K to a maximum temperature T.sub.max. A target with 50% reflectivity was placed at 50 mm distance. The experiment was performed for optical fibers and transfer devices of different materials. For example, silica, acrylic and sapphire fibers were tested. The lens material of the transfer device was diamond, sapphire, float glass CaF.sub.2, Teflon, Acryl or silica. The measurement error Δz was determined as the standard deviation for 10.000 measurements.
[0253] The results in the following table clearly show a lower measurement error Δz for ε.sub.r/k≥0.362 (m.Math.K)/W compared to lower ratios.
TABLE-US-00001 Fiber material Lens material T.sub.max in ° C. Δz in mm ε.sub.r/k in (m .Math. K)/W Silica Diamond 180 3.3 0.006 (Lens) Silica Sapphire 180 2.9 0.25 (Lens) Silica Float Glass 180 0.8 4 (Lens) Silica CaF.sub.2 180 3.7 0.15 (Lens) Silica Teflon 180 1.3 8.4 (Lens) Silica Acrylic 180 1.2 13.5 (Lens) Acrylic Acrylic 180 1.4 13.5 (Both) Sapphire Sapphire 180 3.0 0.25 (Fiber) Sapphire Silica 180 2.5 0.25 (Fiber)
LIST OF REFERENCE NUMBERS
[0254] 110 Measurement head [0255] 112 Object [0256] 114 Transfer device [0257] 116 Optical receiving fiber [0258] 118 Entrance face [0259] 120 Optical axis [0260] 122 Light beam [0261] 124 Spacer device [0262] 126 kit [0263] 128 detector [0264] 130 Illumination source [0265] 132 Light source [0266] 134 Optical illumination fiber [0267] 136 Light beam [0268] 138 Exit face [0269] 140 optical sensor [0270] 142 First optical sensor [0271] 144 Second optical sensor [0272] 146 Light-sensitive area [0273] 148 Evaluation device [0274] 150 divider [0275] 152 position evaluation device [0276] 154 Entrance end [0277] 156 Exit end [0278] 158 Fourth fiber [0279] 160 first optical receiving fiber [0280] 162 Second optical receiving fiber [0281] 164 actuator [0282] 166 core [0283] 168 cladding [0284] 170 buffer [0285] 172 Outer jacket