RESIN OPTICAL WAVEGUIDE

Abstract

Provided is a resin optical waveguide containing a core, under cladding and over cladding, in which the resin optical waveguide has portions having a core width varying along a light propagation direction, the maximum core width is 4 to 10 ?m, and the minimum core width of 1 ?m or more and less than 4 ?m, when the length of a portion S at which the core width is 1 ?m or more and less than 4?m is LS and the length of a portion at which the core width is 4 to 10 ?m is LL, the proportion of LS to the total length is 0.1 to 40%, and the portion S contains neither a certain bubble defect nor a certain defect inside the core and in a vicinity of a core-cladding interface.

Claims

1. A resin optical waveguide comprising a core, and an under cladding and an over cladding, which have refractive indices lower than that of the core, wherein the resin optical waveguide has portions having a core width varying along a propagation direction of light, wherein the resin optical waveguide has the maximum core width of 4 ?m or more and 10 ?m or less, and the minimum core width of 1 ?m or more and less than 4 ?m, when, in the resin optical waveguide, the length of a portion at which the core width is 1 ?m or more and less than 4 ?m is denoted by LS (?m), and the length of a portion at which the core width is 4 ?m or more and 10 ?m or less is denoted by LL (?m), the proportion of LS to the total length (LS+LL) of the resin optical waveguide is from 0.1 to 40%, and wherein the portion at which the core width is 1 ?m or more and less than 4 ?m comprises no bubble defect having the maximum diameter of 2 ?m or more inside the core and in a vicinity of a core-cladding interface at a distance of 15 ?m or less from the center of the core.

2. A resin optical waveguide comprising a core, and an under cladding and an over cladding, which have refractive indices lower than that of the core, wherein the resin optical waveguide has portions having a core width varying along a propagation direction of light, wherein the resin optical waveguide has the maximum core width of 4 ?m or more and 10 ?m or less, and the minimum core width of 1 ?m or more and less than 4 ?m, when, in the resin optical waveguide, the length of a portion at which the core width is 1 ?m or more and less than 4 ?m is denoted by LS (?m), and the length of a portion at which the core width is 4 ?m or more and 10 ?m or less is denoted by LL (?m), the proportion of LS to the total length (LS+LL) of the resin optical waveguide is from 0.1 to 40%, and wherein the portion at which the core width is 1 ?m or more and less than 4 ?m comprises no defect having an absolute value of a refractive index difference from a cladding material being 0.03 or more and having the maximum diameter of 8 ?m or more inside the core and in a vicinity of a core-cladding interface at a distance of 15 ?m or less from the center of the core.

3. The resin optical waveguides according to claim 1, wherein the core width differs between one end side and the other end side of the resin optical waveguide in the propagation direction of light.

4. The resin optical waveguides according to claim 1, wherein the resin optical waveguide has a core-exposed portion on one end side, at which the over cladding is not provided and the core and the under cladding around the core are exposed, and wherein the core-exposed portion has a length of 100 ?m or more in the propagation direction of light of the resin optical waveguide.

5. The resin optical waveguides according to claim 1, which is a single-mode optical waveguide at at least one of a wavelength of 1,310 nm and a wavelength of 1,550 nm.

6. The resin optical waveguides according to claim 1, wherein the core of the resin optical waveguide comprises a resin comprising fluorine.

7. The resin optical waveguides according to claim 2, wherein the core width differs between one end side and the other end side of the resin optical waveguide in the propagation direction of light.

8. The resin optical waveguides according to claim 2, wherein the resin optical waveguide has a core-exposed portion on one end side, at which the over cladding is not provided and the core and the under cladding around the core are exposed, and wherein the core-exposed portion has a length of 100 ?m or more in the propagation direction of light of the resin optical waveguide.

9. The resin optical waveguides according to claim 2, which is a single-mode optical waveguide at at least one of a wavelength of 1,310 nm and a wavelength of 1,550 nm.

10. The resin optical waveguides according to claim 2, wherein the core of the resin optical waveguide comprises a resin comprising fluorine.

Description

BRIEF DESCRIPTION OF DRAWINGS

[0047] FIG. 1 is a perspective view illustrating a configuration example of a resin optical waveguide according to the present invention.

[0048] FIG. 2 is a view illustrating an end surface of the resin optical waveguide 10 illustrated in FIG. 1, on a core-exposed portion 14 side.

[0049] FIG. 3 is a view illustrating an end surface of the resin optical waveguide 10 illustrated in FIG. 1, on a side on which the core-exposed portion is not provided.

[0050] FIG. 4 is a perspective view illustrating a configuration example of a composite optical waveguide in which a resin optical waveguide and a silicon optical waveguide are adiabatically coupled.

[0051] FIG. 5 is a side view illustrating the composite optical waveguide 100 in FIG. 4.

[0052] FIG. 6 is a transverse sectional view illustrating an adiabatic coupling portion of the composite optical waveguide 100 in FIG. 4.

[0053] FIG. 7 is a partial enlarged view of FIG. 6.

[0054] FIG. 8 is a partial longitudinal sectional view illustrating the adiabatic coupling portion of the composite optical waveguide 100 in FIG. 4.

DESCRIPTION OF EMBODIMENTS

[0055] Hereinafter, the present invention will be described with reference to the drawings.

[0056] FIG. 1 is a perspective view illustrating a configuration example of a resin optical waveguide according to the present invention. A resin optical waveguide 10 illustrated in FIG. 1 includes a core 11, and an under cladding 12 and an over cladding 13 which have refractive indices lower than that of the core 11. The under cladding 12 is disposed below the core 11. The over cladding 13 is disposed above the core 11. A core-exposed portion 14 in which the over cladding 13 is not provided and the core 11 is exposed is provided on one end side of the resin optical waveguide 10. In the case where the resin optical waveguide 10 illustrated in FIG. 1 is adiabatically coupled with a silicon optical waveguide, the core-exposed portion 14 serves as an adiabatic coupling portion. The other end side of the resin optical waveguide 10 illustrated in FIG. 1, that is, a side on which the core-exposed portion 14 is not provided is used for coupling with a single-mode optical fiber, for example.

[0057] In the resin optical waveguide in the present invention, one of the under cladding and the over cladding disposed around the core, which is not provided at the core-exposed portion, is set as the over cladding. Thus, the under cladding may be disposed above the core, and the over cladding may be disposed below the core. The thickness of the under cladding and the over cladding is preferably within a range of from 10 to 200 ?m. In the case where the thickness of the under cladding and the over cladding is less than 10 ?m, confinement of light into the core may be insufficient. It is preferably 15 ?m or more, and more preferably 20 ?m or more. In the case where the thickness of the under cladding and the over cladding is more than 200 ?m, there is a high possibility of causing warpage in the resin optical waveguide when the resin optical waveguide is manufactured. It is preferably 150 ?m or less, and more preferably 200 ?m or less.

[0058] As will be described later in detail, the core-exposed portion is generally formed by using a photolithography process at the time when the over cladding is formed. In this case, before the core-exposed portion is formed, the over cladding is formed over the total length of the resin optical waveguide. The resin optical waveguide of the present invention also includes that in such a state.

[0059] The core is preferably exposed at the adiabatic coupling portion. However, a cladding may be provided so long as the adiabatic coupling due to evanescent light is not disturbed. In this case, the thickness of the cladding at the adiabatic coupling portion is 3 ?m or less, preferably 2 ?m or less, and more preferably 1 ?m or less.

[0060] The resin optical waveguide 10 illustrated in FIG. 1 has a core width varying along the propagation direction of light in the resin optical waveguide. Specifically, the core width differs between one end side and the other end side of the resin optical waveguide in the propagation direction of light.

[0061] FIG. 2 is a view illustrating an end surface of the resin optical waveguide 10 illustrated in FIG. 1, on the core-exposed portion 14 side. FIG. 3 is a view illustrating an end surface of the resin optical waveguide 10 illustrated in FIG. 1, on a side on which the core-exposed portion is not provided.

[0062] As illustrated in FIG. 2, an end surface shape of the core 11 on the core-exposed portion 14 side (one end side) of the resin optical waveguide 10 is a rectangle in which the width of the core 11 is larger than the height of the core 11. As illustrated in FIG. 3 on the other hand, the end surface shape of the core 11 on the side on which the core-exposed portion is not provided (the other end side) of the resin optical waveguide 10, is a substantially square in which the width of the core 11 is smaller than the width of the core 11 on the core-exposed portion 14 side.

[0063] In the illustrated resin optical waveguide 10, the end surface on the core-exposed portion 14 side (end surface on the one end side) has the maximum core width, and the end surface on the side on which the core-exposed portion is not provided (end surface on the other end side) has the minimum core width. However, in the resin optical waveguide according to the present invention, a portion having the maximum core width and a portion having the minimum core width may be portions other than the end surfaces of the resin optical waveguide. For example, the portion having the maximum core width or the portion having the minimum core width may exist at an intermediate portion of the resin optical waveguide in the propagation direction of light. In the former case, both end surfaces or one end surface in the propagation direction of light has the minimum core width. In the latter case, both end surfaces or one end surface in the propagation direction of light has the maximum core width.

[0064] In the resin optical waveguide 10 in the present invention, the maximum core width in the resin optical waveguide is 4 ?m or more and 10 ?m or less, and the minimum core width in the resin optical waveguide is 1 ?m or more and less than 4 ?m.

[0065] The reason that the above-mentioned ranges of the maximum core width and the minimum core width of the resin optical waveguide are preferable is as will be described below.

[0066] In the case where the maximum core width is set to be 4 ?m or more and 10 ?m or less, transmission loss of light propagating in the resin optical waveguide, which is caused by foreign substances, can be reduced. In addition, transmission loss caused by warpage can be reduced. In the case where the minimum core width is set to be 1 ?m or more and less than 4 ?m, connection loss with a single-mode fiber can be suppressed.

[0067] In the resin optical waveguide 10 according to the present invention, the maximum core width of the resin optical waveguide is preferably 4.5 ?m or more and 9.5 ?m or less, and more preferably 5 ?m or more and 9 ?m or less. The minimum core width of the resin optical waveguide is preferably 1.5 ?m or more and 3.5 ?m or less, and more preferably 1.8 ?m or more and 3 ?m or less.

[0068] Since the maximum core width and the minimum core width are within the above-mentioned ranges, the resin optical waveguide 10 according to the present invention is divided into a portion (portion S) having a core width of 1 ?m or more and less than 4 ?m and a portion (portion L) having a core width of 4 ?m or more and 10 ?m or less. As described above, even in the case where foreign substances having the same size exist, as the core size at a portion at which the foreign substance exists becomes smaller, transmission loss of light propagating in the resin optical waveguide increases. In the case of the resin optical waveguide 10 according to the present invention, if a foreign substance exists at the portion S, transmission loss of light propagating in the resin optical waveguide becomes larger, which lead to a problem.

[0069] In the resin optical waveguide 10 according to the present invention, when the length of the portion S is denoted by LS (?m) and the length of the portion L is denoted by LL (?m), the proportion of LS to the total length (LS+LL) of the resin optical waveguide is from 0.1 to 40%. Thus, transmission loss of light propagating in the resin optical waveguide, which is caused by the foreign substance, is reduced. In the case where the proportion of LS to the total length (LS+LL) of the resin optical waveguide is more than 40%, the transmission loss of light propagating in the resin optical waveguide increases due to the foreign substance existing at the portion S. On the other hand, in the case where the proportion of LS to the total length (LS+LL) of the resin optical waveguide is less than 0.1%, the portion S cannot exhibit the required function (e.g., function as a coupling portion with a single-mode optical fiber).

[0070] The proportion of LS to the total length (LS+LL) of the resin optical waveguide is preferably from 1 to 35% and more preferably from 5 to 30%.

[0071] Transmission loss of light propagating in the resin optical waveguide increases due to the existence of foreign substances in the case where the foreign substances exist on a path in which the light propagates, specifically, in the case where the foreign substances exist inside the core or in the vicinity of the core-cladding interface. In the present specification, in the case of being described as the vicinity of the core-cladding interface, this means the vicinity of the core-cladding interface at a distance of 15 ?m or less from the center of the core. This includes the interface between the core and the cladding and the inside of the cladding.

[0072] It is necessary that foreign substances having a size as large as transmission loss of light may increase do not exist inside the core or in the vicinity of the core-cladding interface, at the portion S of the resin optical waveguide in the present invention. The size of the foreign substances as large as the transmission loss of light may increase varies depending on the type of the foreign substance.

[0073] In the case where the foreign substance is a bubble defect, it is necessary that bubble defects having the maximum diameter of 2 ?m or more do not exist inside the core or in the vicinity of the core-cladding interface at the portion S. Preferably, bubble defects having the maximum diameter of 3 ?m or more do not exist and more preferably, bubble defects having the maximum diameter of 4 ?m or more do not exist inside the core or in the vicinity of the core-cladding interface at the portion S.

[0074] In the case where the foreign substance is a foreign substance derived from resin, the refractive index difference between the foreign substance and the cladding material is also affecting. In the case where an absolute value of the refractive index difference between the foreign substance and the cladding material is sufficiently small, there is little possibility of increasing transmission loss of light propagating in the resin optical waveguide even if foreign substances exist in the vicinity of the core-cladding interface. On the other hand, in the case where the absolute value of the refractive index difference between the foreign substance and the cladding material is 0.03 or more, if the foreign substance exists in the vicinity of the core-cladding interface, the transmission loss of light propagating in the resin optical waveguide may increase.

[0075] In the case where the foreign substance is a foreign substance derived from resin, it is necessary that foreign substances having the absolute value of the refractive index difference from the cladding material being 0.03 or more and having the maximum diameter of 8 ?m or more do not exist in the vicinity of the core-cladding interface of the portion S. The reason of setting the refractive index difference from the cladding material as a determination index is because foreign substances derived from resin exist in a cladding region in many cases.

[0076] Preferably, foreign substances having the absolute value of the refractive index difference from the cladding material being 0.03 or more and having the maximum diameter of 9 ?m or more do not exist, and more preferably, foreign substances having the absolute value of the refractive index difference from the cladding material being 0.03 or more and having the maximum diameter of 10 ?m or more do not exist, in the vicinity of the core-cladding interface of the portion S.

[0077] The resin optical waveguide according to the present invention will be more described.

[0078] (Core 11)

[0079] In the illustrated resin optical waveguide 10, the width of the core 11 on one end side (core-exposed portion 14 side) is large, and the width of the core 11 on the other end side (side on which the core-exposed portion is not provided) is small. The resin optical waveguide according to the present invention should have portions having a core width varying along the propagation direction of light in the resin optical waveguide, but the end surface shape of the core is not limited to the illustrated rectangle or a substantial square. The end surface shape of the core (cross-sectional shape of the core 11 inside the resin optical waveguide 10) may be trapezoidal, circular, or elliptical, for example. In the case where the end surface shape of the core is a polygon such as a rectangle, substantial square or trapezoid, the corners thereof may be rounded.

[0080] As described above, in the adiabatic coupling portion, without reducing the core height of the core 11 to a certain level, spreading in a propagation mode does not occur largely and it becomes impossible to make light propagate in the silicon optical waveguide. Therefore, about 4 ?m is set as an upper limit of the core height. The core height is preferably from 1 to 3 ?m, and is more preferably from 1.5 to 2.5 ?m.

[0081] In the resin optical waveguide 10 illustrated in FIGS. 1 to 3, one core is provided. However, the number of cores in the resin optical waveguide is not limited to this. As with the cores 220 in the resin optical waveguide 200 illustrated in FIGS. 4 and 6, a plurality of cores may be provided in one direction to have an array shape. In this case, as with the cores 220 of the resin optical waveguide 200 illustrated in FIG. 4, a bending region may be provided in order to widen a spacing between the cores. Preferably, the bending region is a portion (portion L) having a core width of 4 ?m or more and 10 ?m or less.

[0082] As described above, the resin optical waveguide 10 illustrated in FIGS. 1 to 3 includes the core 11, and the under cladding 12 and the over cladding 13 having refractive indices which are lower than that of the core 11. The present invention is not particularly limited so long as this condition is satisfied, and the core 11 may have refractive index distribution in the inside thereof. In this case, the refractive index distribution in which the refractive index decreases outward from the center of the core may be provided. In addition, the refractive index distribution in which the refractive index on the over cladding side becomes high and the refractive index on the under cladding side becomes low may be provided. In addition, the refractive index distribution in which the refractive index on the over cladding side becomes low and the refractive index on the under cladding side becomes high may be provided.

[0083] (Under Cladding 12 and Over Cladding 13)

[0084] The under cladding 12 and the over cladding 13 may have a simple refractive index. Alternatively, portions having different refractive indices on a near side and a far side to the core 11 may be provided. In this case, a configuration in which the refractive index decreases outward from the core 11 may be made, or a configuration in which the refractive index increases outward from the core 11 may be made.

[0085] The thickness of the under cladding 12 and the over cladding 13 is not particularly limited. In the case where the resin optical waveguide 10 according to the present invention is a single-mode optical waveguide, propagating light also leaks at the cladding portion in a range of about 10 ?m from the center of the core 11. Thus, from a viewpoint of reducing propagation loss of light, the thickness thereof is preferably 10 ?m or more. The total thickness of the under cladding 12 and the over cladding 13 is preferably, from 20 to 100 ?m, and more preferably from 30 to 80 ?m.

[0086] The core-exposed portion 14 of the resin optical waveguide 10 illustrated in FIG. 1 serves as a coupling portion with a silicon optical waveguide when the resin optical waveguide 10 is used in a silicon photonics interface. Therefore, the core-exposed portion 14 is required to have a length enough for being used as the coupling portion with a silicon optical waveguide. Specifically, the length of the core-exposed portion 14 of the resin optical waveguide in the propagation direction of light is preferably 100 ?m or more, more preferably 300 ?m or more, further preferably 500 ?m or more, and particularly preferably 1,000 ?m or more.

[0087] However, if the length of the core-exposed portion 14 of the resin optical waveguide in the propagation direction of light is too long, when it is connected to a silicon optical waveguide by using an adhesion (e.g., epoxy resin), connection loss may increase due to absorption by the adhesive layer. Therefore, the length of the core-exposed portion 14 of the resin optical waveguide in the propagation direction of light is preferably 10,000 ?m or less, more preferably 5,000 ?m or less, and further preferably 3,000 ?m or less.

[0088] In the resin optical waveguide according to the present invention, constituent materials of the core 11, under cladding 12 and over cladding 13 are not particularly limited so long as they satisfy characteristics required as the resin optical waveguide. The constituent material of the core 11 is preferably a resin including fluorine from a viewpoint of suppressing loss of light propagating in the core 11.

[0089] Regarding the constituent materials of the core 11, under cladding 12 and over cladding 13 and the manufacturing procedures of the resin optical waveguide, the descriptions in the following documents can be used as a reference.

[0090] WO 2010/107005

[0091] JP-A 2013-120338

[0092] JP-A 2012-63620

[0093] In the case of manufacturing the resin optical waveguide 10 according to the present invention, illustrated in FIG. 1, with reference to the above documents, the core-exposed portion 14 of the resin optical waveguide 10 can be formed by procedures as follows.

[0094] A first curable resin composition is applied on a base member by using a spin coating method and then the first curable resin composition is cured, to thereby form an under cladding. Then, a second curable resin composition is applied onto the under cladding by using a spin coating method and thereafter, a core is formed on the under cladding by using a photolithography process. Subsequently, a third curable resin composition is applied onto the under cladding and the core by using a spin coating method and then the third curable resin composition is cured, to thereby form an over cladding. At the time of forming the over cladding, a region having the over cladding and a region in which the core is exposed without the over cladding (i.e., core-exposed portion) can be formed by using a photolithography process.

[0095] As described above, the resin optical waveguide according to the present invention has portions having a core width varying along the propagation direction of light in the resin optical waveguide. In order to form the portions having a core width varying along the propagation direction of light in the resin optical waveguide, the following procedures may be performed when the resin optical waveguide is manufactured in accordance with the above-described procedures.

[0096] The core is formed by performing a lithographic exposure with a photomask having a shape in which the core width varies along the propagation direction of light, followed by developing. Thereafter, post-baking is performed if necessary.

[0097] In the resin optical waveguide according to the present invention, it is necessary that foreign substances having a size as large as transmission loss of light may increase do not exist inside the core or in the vicinity of the core-cladding interface, at the portion S having a core width of 1?m or more and less than 4 ?m.

[0098] In the case where the foreign substance is a bubble defect, it is necessary that bubble defects having the maximum diameter of 2 ?m or more do not exist inside the core or in the vicinity of the core-cladding interface at the portion S. In the case where the foreign substance is a foreign substance derived from resin, it is necessary that foreign substances having an absolute value of the refractive index difference from the cladding material being 0.03 or more and having the maximum diameter of 8 ?m or more do not exist in the vicinity of the core-cladding interface of the portion S.

[0099] In order to manufacture a resin optical waveguide in which the above-described bubble defects do not exist inside the core or in the vicinity of the core-cladding interface at the portion S, it is desirable that the curable resin compositions are allowed to sufficiently stay to defoam before coating is performed. Alternatively, defoaming is desirably performed with a defoaming device.

[0100] In order to manufacture a resin optical waveguide in which the above-described foreign substances derived from foreign substances do not exist in the vicinity of the core-cladding interface at the portion S, the following procedures may be performed. The curable resin compositions are filtrated to remove foreign substances in the compositions and the base member is washed to remove foreign substances on the surface of the base member, before the coating. In order to prevent adhering of foreign substances in air, these operations are desirably performed in a clean room. In order to prevent adhering of foreign substance due to static electricity, the use of an electrostatic remover (ionizer) is further desirably.

[0101] The resin optical waveguide according to the present invention is used in a silicon photonics interface in which a silicon optical waveguide and the resin optical waveguide are connected to each other with low loss and at low cost. Thus, the resin optical waveguide is preferably a single-mode optical waveguide because optical signal propagating in the single-mode optical waveguide can be highly densified. In this case, it is preferably a single-mode optical waveguide at at least one of the wavelengths of 1,310 nm and 1,550 nm from a point that light can be made to propagate in a silicon optical waveguide or a single-mode optical fiber at low loss.

[0102] In the case where the resin optical waveguide according to the present invention is used in a silicon photonics interface, the resin optical waveguide is connected to a silicon optical waveguide at the core-exposed portion thereof.

EXAMPLES

[0103] The present invention will be more specifically described below by using Examples. However, the present invention is not limited to these Examples.

[0104] In Examples which will be described below, the structure (size and refractive index) of a resin optical waveguide was defined by RSoft CAD manufactured by RSoft Design Group Inc., and simulation of light propagation was performed by BeamProp (finite difference beam propagation method) that is a simulation engine manufactured by RSoft Design Group Inc.

[0105] (Simulation Analysis 1 of Transmission Loss due to Bubble Defect)

[0106] Resin optical waveguides (core height was constant) having structures in which the core height is 2.0 ?m and the core width is different in five types of 2.0 ?m, 3.0 ?m, 4.0 ?m, 6.0 ?m, and 8.0 ?m were defined. The simulation analysis was performed for the relationship of transmission loss of light having a wavelength of 1,310 nm, on the assumption that spherical bubble defects having the maximum diameter (side view) of from 1.0 to 2.5 ?m exist at the core-cladding interface of the resin optical waveguide. Conditions used in the simulation analysis except for that described above are as follows.

[0107] (Resin Optical Waveguide)

[0108] Propagation mode: single-mode

[0109] Core height: 2.0 ?m

[0110] Core width: 2.0 ?m, 3.0 ?m, 4.0 ?m, 6.0 ?m, 8.0 ?m

[0111] Core cross-sectional shape: rectangle (square in the case of the core width of 2.0 ?m)

[0112] Core refractive index: 1.526

[0113] Cladding thickness: 80 ?m

[0114] Cladding refractive index: 1.513

[0115] Bubble-defect refractive index: 1.00

[0116] Bubble defect shape: sphere

[0117] Bubble size (maximum diameter): 1.0 ?m, 1.5 ?m, 2.0 ?m, 2.5 ?m

[0118] Results are shown in the following tables. In the tables, A-1, A-2, A-5, A-6, and A-9 to A-20 correspond to Examples, and A-3, A-4, A-7, and A-8 correspond to Comparative Examples.

TABLE-US-00001 TABLE 1 A-1 A-2 A-3 A-4 A-5 A-6 A-7 A-8 Core width 2.0 2.0 2.0 2.0 3.0 3.0 3.0 3.0 (?m) Bubble size 1.0 1.5 2.0 2.5 1.0 1.5 2.0 2.5 (?m) Loss (dB) 0.11 0.36 0.62 0.73 0.09 0.28 0.46 0.53

TABLE-US-00002 TABLE 2 A-9 A-10 A-11 A-12 A-13 A-14 A-15 A-16 Core width 4.0 4.0 4.0 4.0 6.0 6.0 6.0 6.0 (?m) Bubble size 1.0 1.5 2.0 2.5 1.0 1.5 2.0 2.5 (?m) Loss (dB) 0.06 0.19 0.31 0.34 0.03 0.09 0.14 0.16

TABLE-US-00003 TABLE 3 A-17 A-18 A-19 A-20 Core width (?m) 8.0 8.0 8.0 8.0 Bubble size (?m) 1.0 1.5 2.0 2.5 Loss (dB) 0.02 0.05 0.07 0.08

[0119] As is apparent from the tables, in A-3, A-4, A-7, and A-8 in which bubble defects having the maximum diameter of 2 ?m or larger exist at the portion having a core width of 1 ?m or more and less than 4 ?m, transmission loss was as large as 0.45 dB or greater. On the contrary, in A-1, A-2, A-5, and A-6 in which bubble defects having the maximum diameter of smaller than 2 ?m exist at the portion having a core width of 1 ?m or more and less than 4 ?m, the transmission loss was as small as smaller than 0.45 dB. In addition, in A-9 to A-20 in which the core width of the portion at which bubble defects exist is 4 ?m or more, the transmission loss was as small as smaller than 0.45 dB, in any of cases where the maximum diameter of the bubble defects is smaller than 2 ?m and is 2 ?m or larger.

[0120] (Simulation Analysis 1 of Transmission Loss due to Resin-derived Foreign Substance)

[0121] Resin optical waveguides having structures in which the core height is 2.0 ?m and the core width is different in four types of 2.0 ?m, 3.0 ?m, 4.0 ?m, and 6.0 ?m were defined. The simulation analysis was performed for the relationship of transmission loss of light having a wavelength of 1,310 nm, on the assumption that resin-derived foreign substances which have two types of the maximum diameter (side view) of 4.0 ?m and 8.0 ?m, and seven types of refractive index difference ((refractive index of resin-derived foreign substance)-(refractive index of cladding material)) Dn from the cladding material of ?0.03, ?0.02, ?0.01, 0, 0.01, 0.02, and 0.03, and have a cubic shape, exist at the core-cladding interface of the resin optical waveguide. Conditions used in the simulation analysis except for that described above are as follows.

[0122] (Resin Optical Waveguide)

[0123] Propagation mode: single-mode

[0124] Core height: 2.0 ?m

[0125] Core width: 2.0 ?m, 3.0 ?m, 4.0 ?m, 6.0 ?m

[0126] Core cross-sectional shape: rectangle (square in the case of the core width of 2 ?m)

[0127] Core refractive index: 1.526

[0128] Cladding thickness: 80 ?m

[0129] Cladding refractive index: 1.513

[0130] Refractive index difference ((refractive index of resin-derived foreign substance)(refractive index of cladding material)) Dn: ?0.03, ?0.02, ?0.01, 0, 0.01, 0.02, and 0.03

[0131] Resin-derived foreign substance shape: rectangular parallelepiped

[0132] Foreign substance size (side view, maximum diameter): 4.0 ?m, 8.0 ?m

[0133] Results are shown in the following tables. In the tables, B-1 to B-7, B-9 to B-13, B-15 to B-21, B-23 to B-27, and B-29 to B-56 correspond to Examples, and B-8, B-14, B-22, and B-28 correspond to Comparative Examples.

TABLE-US-00004 TABLE 4 B-1 B-2 B-3 B-4 B-5 B-6 B-7 Core width (?m) 2.0 2.0 2.0 2.0 2.0 2.0 2.0 Foreign substrate 4.0 4.0 4.0 4.0 4.0 4.0 4.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.16 0.07 0.02 0.00 0.02 0.08 0.17

TABLE-US-00005 TABLE 5 B-8 B-9 B-10 B-11 B-12 B-13 B-14 Core width (?m) 2.0 2.0 2.0 2.0 2.0 2.0 2.0 Foreign substrate 8.0 8.0 8.0 8.0 8.0 8.0 8.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.84 0.39 0.10 0.00 0.10 0.42 0.96

TABLE-US-00006 TABLE 6 B-15 B-16 B-17 B-18 B-19 B-20 B-21 Core width (?m) 3.0 3.0 3.0 3.0 3.0 3.0 3.0 Foreign substrate 4.0 4.0 4.0 4.0 4.0 4.0 4.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.11 0.05 0.01 0.00 0.01 0.06 0.13

TABLE-US-00007 TABLE 7 B-22 B-23 B-24 B-25 B-26 B-27 B-28 Core width (?m) 3.0 3.0 3.0 3.0 3.0 3.0 3.0 Foreign substrate 8.0 8.0 8.0 8.0 8.0 8.0 8.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.53 0.25 0.07 0.00 0.07 0.28 0.65

TABLE-US-00008 TABLE 8 B-29 B-30 B-31 B-32 B-33 B-34 B-35 Core width (?m) 4.0 4.0 4.0 4.0 4.0 4.0 4.0 Foreign substrate 4.0 4.0 4.0 4.0 4.0 4.0 4.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.08 0.03 0.01 0.00 0.01 0.04 0.08

TABLE-US-00009 TABLE 9 B-36 B-37 B-38 B-39 B-40 B-41 B-42 Core width (?m) 4.0 4.0 4.0 4.0 4.0 4.0 4.0 Foreign substrate 8.0 8.0 8.0 8.0 8.0 8.0 8.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.33 0.16 0.04 0.00 0.05 0.18 0.42

TABLE-US-00010 TABLE 10 B-43 B-44 B-45 B-46 B-47 B-48 B-49 Core width (?m) 6.0 6.0 6.0 6.0 6.0 6.0 6.0 Foreign substrate 4.0 4.0 4.0 4.0 4.0 4.0 4.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.04 0.02 0.00 0.00 0.00 0.02 0.04

TABLE-US-00011 TABLE 11 B-50 B-51 B-52 B-53 B-54 B-55 B-56 Core width (?m) 6.0 6.0 6.0 6.0 6.0 6.0 6.0 Foreign substrate 8.0 8.0 8.0 8.0 8.0 8.0 8.0 size (?m) Refractive index ?0.03 ?0.02 ?0.01 0 0.01 0.02 0.03 difference Dn Loss (dB) 0.15 0.07 0.02 0.00 0.02 0.09 0.19

[0134] As is apparent from the tables, in B-8, B-14, B-22, and B-28 in which resin-derived foreign substances having the maximum diameter of 8 ?m or larger and having the absolute value of the refractive index difference from the cladding material being 0.03 or more exist at the portion having a core width of 1 ?m or more and less than 4 transmission loss was as large as 0.45 dB or greater. On the contrary, in B-1 to B-7, B-9 to B-13, B-15 to B-21, and B-23 to B-27 in which the maximum diameter of the resin-derived foreign substances existing at the portion having a core width of 1 ?m or more and less than 4 ?m is less than 8 ?m, or the absolute value of the refractive index difference from the cladding material is less than 0.03, the transmission loss was as small as smaller than 0.45 dB. In addition, in B-29 to B-56 in which the core width of the portion at which resin-derived foreign substances exist is 4 ?m or more, the transmission loss was as small as smaller than 0.45 dB, in any of cases where the maximum diameter of the resin-derived foreign substances is smaller than 8 ?m and is 8 ?m or larger, and cases where the absolute value of the refractive index difference from the cladding material is 0.03 or less and is 0.03 or more.

[0135] (Simulation Analysis 2 of Transmission Loss due to Bubble Defect)

[0136] Resin optical waveguides having structures in which the core height is 2.0 ?m and the core width differs between one end side and the other end side (the core width on the one end side is 1 ?m or more and less than 4 ?m, and the core width on the other end side is 4 ?m or more and 10 ?m or less) were defined. The simulation analysis was performed for the relationship of transmission loss of light having a wavelength of 1,310 nm, on the assumption that spherical bubble defects having the maximum diameter (side view) of 1.0 to 2.5 ?m exist at the core-cladding interface of the resin optical waveguide. Conditions used in the simulation analysis except for that described above are as follows.

[0137] (Resin Optical Waveguide)

[0138] Propagation mode: single-mode

[0139] Core height: 2.0 ?m

[0140] Core width (one end side): 2.0 ?m, 3.0 ?m

[0141] Core cross-sectional shape: rectangle (square in the case of the core width of 2.0 ?m)

[0142] Core width (the other end side): 6.0 ?m, 8.0 ?m

[0143] Core cross-sectional shape: rectangle

[0144] Length LS of portion S: 50 ?m, 200 ?m, 300 ?m, 600 ?m

[0145] Length LL of portion L: 400 ?m, 600 ?m, 1,000 ?m, 1,200 ?m

[0146] Core refractive index: 1.526

[0147] Cladding thickness: 80 ?m

[0148] Cladding refractive index: 1.513

[0149] Bubble-defect refractive index: 1.00

[0150] Bubble defect shape: sphere

[0151] Bubble size (maximum diameter): 1.0 ?m, 1.5 ?m, 2.5 ?m

[0152] Results are shown in the following tables. In the tables, C-1, C-3, C-5, and C-6 correspond to Examples, and C-2, C-4 and C-7 correspond to Comparative Examples.

TABLE-US-00012 TABLE 12 C-1 C-2 C-3 C-4 C-5 C-6 C-7 Length LS (?m) 50 50 200 200 300 300 600 Core width (?m) No 2.0 No 3.0 2.0 3.0 3.0 at position at defect defect which defect exits (2.0) (3.0) Bubble size (?m) No 2.5 No 2.5 1.5 1.0 2.5 defect defect Length LL (?m) 1,200 1,200 1,000 1,200 600 600 400 Core width (?m) 6.0 No 8.0 No No 8.0 8.0 at position at defect defect defect which defect exists (6.0) (8.0) (8.0) Bubble size (?m) 2.5 No 2.0 No No 1.5 1.5 defect defect defect Proportion (%) 4.0 4.0 16.7 14.3 33.3 33.3 60.0 of length LS Loss (dB) 0.16 0.73 0.07 0.53 0.36 0.14 0.57

[0153] As is apparent from the tables, in C-2, C-4 and C-7 in which bubble defects having the maximum diameter of 2 ?m or more exist at the portion S having a core width of 1 ?m or more and less than 4 ?m, transmission loss was as large as 0.45 dB or greater. On the contrary, in C-1, C-3, C-5, and C-6 in which bubble defects do not exist at the portion S having a core width of 1 ?m or more and less than 4 ?m, or the bubble defects have the maximum diameter of less than 2 ?m, the transmission loss was as small as smaller than 0.45 dB, in any of the case where bubble defects do not exist at the portion L having a core width which of 4 ?m or more and 10 ?m or less, the case where bubble defects having the maximum diameter of less than 2 ?m exist, and the case where bubble defects having the maximum diameter of 2 ?m or more exist.

[0154] (Simulation Analysis 2 of Transmission Loss due to Resin-derived Foreign Substance)

[0155] Resin optical waveguides having structures in which the core height is 2.0 ?m and the core width differs between one end side and the other end side (the core width on the one end side is 1 ?m or more and less than 4 ?m, and the core width on the other end side is 4 ?m or more and 10 ?m or less) were defined. The simulation analysis was performed for the relationship of transmission loss of light having a wavelength of 1,310 nm, on the assumption that resin-derived foreign substances which have two types of the maximum diameter (side view) of 4.0 ?m and 8.0 ?m, and refractive index differences ((refractive index of resin-derived foreign substance)-(refractive index of cladding material)) Dn from the cladding material of ?0.03, ?0.02, 0.01, 0.02, and 0.03, and have a cubic shape exist at the core-cladding interface of the resin optical waveguide. Conditions used in the simulation analysis except for that described above are as follows.

[0156] (Resin Optical Waveguide)

[0157] Propagation mode: single-mode

[0158] Core height: 2.0 ?m

[0159] Core width (one end side): 2.0 ?m, 3.0 ?m

[0160] Core cross-sectional shape: rectangle (square in the case of the core width of 2.0 ?m)

[0161] Core width (the other end side): 6.0 ?m

[0162] Core cross-sectional shape: rectangle

[0163] Length LS of portion S: 50 ?m, 200 ?m, 300 ?m, 600 ?m

[0164] Length LL of portion L: 400 ?m, 600 ?m, 1,000 ?m, 1,200 ?m

[0165] Core refractive index: 1.526

[0166] Cladding thickness: 80 ?m

[0167] Cladding refractive index: 1.513

[0168] Refractive index difference ((refractive index of resin-derived foreign substance)(refractive index of cladding material)) Dn: ?0.03, ?0.02, 0.01, 0.02, and 0.03

[0169] Resin-derived foreign substance shape: rectangular parallelepiped

[0170] Foreign substance size (side view, maximum diameter): 4.0 ?m, 8.0 ?m

[0171] Results are shown in the following tables. In the tables, D-1, D-3, D-5, and D-6 correspond to Examples, and D-2, D-4, and D-7 correspond to Comparative Examples.

TABLE-US-00013 TABLE 13 D-1 D-2 D-3 D-4 D-5 D-6 D-7 Length LS (?m) 50 50 200 200 300 300 600 Core width (?m) No 2.0 No 3.0 2.0 2.0 2.0 at position at defect defect which defect exists (2.0) (3.0) Foreign substance No 8.0 No 8.0 4.0 8.0 8.0 size (?m) defect defect Refractive index No 0.03 No 0.03 0.01 0.01 ?0.03 different Dn defect defect Length LL (?m) 1,200 1,200 1,000 1,200 600 600 400 Core width (?m) 6.0 No 6.0 No No 6.0 6.0 at position at defect defect defect which defect exists (6.0) (6.0) (6.0) Foreign substance 8.0 No 8.0 No No 8.0 8.0 size (?m) defect defect defect Refractive index 0.02 No ?0.02 No No 0.01 0.01 different Dn defect defect defect Proportion (%) 4.0 4.0 16.7 14.3 33.3 33.3 60.0 of length LS Loss (dB) 0.09 0.96 0.07 0.65 0.02 0.12 0.87

[0172] As is apparent from the tables, in D-2, D-4 and D-7 in which resin-derived foreign substances having the maximum diameter of 8 ?m or more and having the absolute value of the refractive index difference from the cladding material being 0.03 or more exist at the portion S having a core width of 1 ?m or more and less than 4 ?m, transmission loss was as large as 0.45 dB or greater. On the contrary, in D-1, D-3, D-5, and D-6 in which resin-derived foreign substances do not exist at the portion S having a core width of 1 ?m or more and less than 4 ?m, the maximum diameter of the resin-derived foreign substances is less than 8 ?m, or the absolute value of the refractive index difference from the cladding material is less than 0.03, the transmission loss was as small as smaller than 0.45 dB, in any of the case where resin-derived foreign substances do not exist at the portion L having a core width of 4 ?m or more and 10 ?m or less, and the case where resin-derived foreign substances having the maximum diameter of 8 ?m or more exist.

[0173] The present invention is described in detail with reference to specific embodiments, but it is apparent for those skilled in the art that various changes or modifications can be added without departing from the spirit and the scope of the present invention. This application is based upon Japanese Patent Application (No. 2016-110903), filed on Jun. 2, 2016, the contents of which are incorporated herein by reference.

REFERENCE SIGNS LIST

[0174] 10: resin optical waveguide

[0175] 11: core

[0176] 12: under cladding

[0177] 13: over cladding

[0178] 14: core-exposed portion

[0179] 100: composite optical waveguide

[0180] 200: resin optical waveguide

[0181] 210: cladding

[0182] 220: core

[0183] 300: silicon optical waveguide

[0184] 310: cladding

[0185] 320: core

[0186] 400: connector

[0187] 500: adhesive layer

[0188] 700: adiabatic coupling portion