This application is based upon and claims the benefit of priority of the prior Japanese Patent Application No. 2023-079087, filed on May 12, 2023, the entire contents of which are incorporated herein by reference.
The embodiments discussed herein are related to an optical device, an optical transmitting apparatus, and an optical receiving apparatus.
In recent years, for example, coherent optical communication technologies have been used to achieve high-speed, high-capacity communications in optical fiber communication networks. An optical device to be used in an optical transceiver for coherent optical communications is preferably small in size. Therefore, the optical device includes, for example: a silicon-on-insulator (SOI) wafer substrate; a SiO2 lower cladding that is a buried oxide (BOX) layer formed on the substrate; and a Si core having a desired shape formed on the lower cladding. The optical device further includes a SiO2 upper cladding stacked on the lower cladding and the core. Such silicon photonics technology is used to form the optical device such as an optical waveguide substrate.
In the optical waveguide substrate, for example, two types of waveguides, that is, a channel waveguide and a rib waveguide are commonly used. The channel waveguide has a large refractive-index difference in the direction of waveguide width, and hence, by steeply bending the waveguide, the size of the optical device can be reduced. On the other hand, the rib waveguide enables a propagation loss caused by roughness of a sidewall of the core to be reduced and is accordingly advantageous for long routing from the viewpoint of loss reduction. Thus, the optical device can be optimally designed by appropriately changing a waveguide structure including the channel waveguide and the rib waveguide. There has been provided a waveguide conversion structure that converts between the rib waveguide and the channel waveguide when connecting the rib waveguide to the channel waveguide (for example, see D. Dai, Y. Tang, and J. E. Bowers, “Mode conversion in tapered submicron silicon ridge optical waveguides,” Opt. Express 20(12), 13425-13439 (2012)).
It has been generally known that, in the channel waveguide 110, it is difficult to guide a higher mode as a waveguide mode. It had also been known that the channel waveguide 110 is often used in the form of a curved waveguide, and, at a curved portion of the channel waveguide 110, the higher mode is mode-converted into a lower mode to be used for signal propagation, and the lower mode after the mode conversion interferes with a lower mode to be used for signal propagation.
There are two types of waveguide modes, that is, a transverse electric (TE) mode mainly including an electric field horizontal to a substrate and a transverse magnetic (TM) mode mainly including an electric field vertical to the substrate. Furthermore, the TE and TM modes include waveguide modes, for example, TEi and TMi (i=0, 1, 2 . . . ), respectively. Here, among the TE and TM modes, the TEi and the TMi are waveguide modes each having the (i+1)th largest effective refractive index Neff. In particular, TE0 and TM0 are called basic modes.
The number of the waveguide modes increases when the size of a waveguide cross section increases.
In general, the waveguide mode TE0, which enables the strongest optical confinement, is employed for signal propagation in optical transceivers. When the core width w <0.46 μm, TE1 is not guided, and therefore a single-mode operation can be realized. However, when the core width w is narrower, propagation loss due to roughness of the sidewall of the channel waveguide 110 is higher. Therefore, in general, in the channel waveguide 110, a core width enough to allow TE1 to be guided is employed, but it is preferable for TE1 to be guided with more difficulties. However, when the effective refractive index Neff is smaller, light confinement to the core is weaker, so that, in general, compared with TM0, TE1 preferably occurs in a region in which the effective refractive index is lower. Therefore, the core width w of the channel waveguide 110 is desirably within a range of 0.46 μm<w<0.66 μm, for example.
In the channel waveguide 110, TE1 is guided, but, when TE1 is mode-converted to TE0, TE0 after the mode-conversion interferes with TE0 to be used in signal propagation and thereby optical power is changed, which is not preferable from the viewpoint of optical communication quality. Therefore, there has been provided a directional coupler having a structure that removes TE1 outputted from the channel waveguide 110 (for example, see Japanese Laid-open Patent Publication No. 2014-041253).
The directional coupler includes two waveguides and uses light leakage (evanescent waves) from the core to cause a light transition from one waveguide to another waveguide adjacent to the one waveguide, and exhibits a greater effect when the light leakage is greater. The greater effect allows a reduction in the size of a device that is needed to be removed.
Thus, compared with the channel waveguide 110, the rib waveguide 130 causes greater light leakage to a slab 130B, and therefore the directional coupler of the rib waveguide 130 can more greatly improve characteristics. Therefore, from the viewpoint of overall size reduction, unnecessary TE1 guided in the channel waveguide 110 is preferably removed by the directional coupler after the conversion from the channel waveguide 110 to the rib waveguide 130.
However, in the case where the magnitude relationship between the effective refractive index of TE1 and the effective refractive index of TM0 is reversed when the channel waveguide 110 is converted to the rib waveguide 130, mode conversion from TE1 to TM0 occurs because the rib waveguide 130 has an asymmetric structure of refractive index distribution in the waveguide cross section (see, D. Dai, Y. Tang, and J. E. Bowers, “Mode conversion in tapered submicron silicon ridge optical waveguides,” Opt. Express 20(12), 13425-13439 (2012)). Thus, there is a possibility that TE1 of the channel waveguide 110 is mode-converted to another mode such as TM0 in the rib waveguide 130 and thereby optical power is changed, and accordingly optical communication quality is reduced.
The length of the conversion unit (the slab generation unit) 120 is 30 μm and the thickness of the conversion unit 120 is 0.22 μm. The wavelength of the light guided in the waveguide conversion structure 100 is 1.55 μm.
The related technologies are described, for example, in: Japanese Laid-open Patent Publication No. 2014-041253; Japanese National Publication of International Patent Application No. 2006-517673; International Publication Pamphlet No. WO 2014/196103; U.S. Patent Application Publication No. 2016/0246005; Japanese Laid-open Patent Publication No. 2016-188956; and D. Dai, Y. Tang, and J. E. Bowers, “Mode conversion in tapered submicron silicon ridge optical waveguides,” Opt. Express 20(12), 13425-13439 (2012).
In the waveguide conversion structure 100 illustrated in
When the refractive index distribution of a cross section of the channel waveguide 110 in the waveguide conversion structure 100 is vertically symmetric, TE1 is outputted as TE1 and TM0 is outputted as TM0. In contrast, when the refractive index distribution of a cross section of the rib waveguide 130 of the waveguide conversion structure 100 is vertically asymmetric, the waveguide is continuously mode-converted along the direction of light travel to cause TE1 and TM0 to interact with each other, and, for example, TE1 is converted to TM0 and TM0 is converted to TE1.
In the waveguide conversion structure 100, the transmittance of TE1 inputted on the channel waveguide 110 side was calculated using a finite difference time domain (FDTD) method. Note that the transmittance can represent a ratio of the light intensity of TE1 outputted to the rib waveguide 130 to the light intensity of TE1 inputted to the channel waveguide 110. As a result of the calculation, the transmittance of TE1 is −10.07 dB when the wavelength of light guided is 1.55 μm. Energy that TE1 has lost transitions to another mode, and therefore, even when a structure intended to remove TE1 is provided in the rib waveguide 130, the transmittance of TE1 only has an effect corresponding to −10.07 dB.
The energy having transitioned from TE1 to another mode reversely acts when returning from the rib waveguide 130 to the channel waveguide 110, and thereby the energy passes through the rib waveguide 130 at a maximum transmission of −10.07 dB, whereby the removal effect is limited. Therefore, from the viewpoint of removing TE1, it is not preferable that TE1 is converted to another mode in the waveguide conversion structure 100 for the channel waveguide 110 and the rib waveguide 130. In other words, there is a need for a waveguide conversion structure that realizes a waveguide conversion to substantially prevent a transition to an unnecessary mode between the channel waveguide and the rib waveguide.
According to an aspect of an embodiment, an optical device includes a lower cladding formed on a substrate, a core formed on the lower cladding, and an upper cladding covering the core. The optical device includes a first channel waveguide, a second channel waveguide connected to the first channel waveguide, a slab generator connected to the second channel waveguide, and a rib waveguide connected to the slab generator. The second channel waveguide includes a first connection connected to the first channel waveguide and a second connection connected to the slab generator. The second channel waveguide is wider at the second connection than at the first connection. A slab region of the slab generator includes a third connection connected to the rib waveguide, and the slab region widens from the second connection of the second channel waveguide toward the third connection. Effective refractive indexes of waveguide modes at the first connection are larger in an order of Transverse Electric (TE) 0, Transverse Magnetic (TM) 0, and TE1. Effective refractive indexes of the waveguide modes at the second connection are larger in an order of TE0, TE1, and TM0. Effective refractive indexes of the waveguide modes at the third connection are larger in an order of TE0, TE1, and TM0.
The object and advantages of the invention will be realized and attained by means of the elements and combinations particularly pointed out in the claims.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are not restrictive of the invention, as claimed.
Preferred embodiments of the present invention will be explained with reference to accompanying drawings. Note that the disclosed technology is not limited by the embodiments. The embodiments described below may be suitably used in combination consistently.
The second channel waveguide 11 includes: a first connection 11A connected to the first channel waveguide 2; and a second connection 11B connected to the slab generation unit 12. The second channel waveguide 11 includes a channel core 11C disposed between the first connection 11A and the second connection 11B and gradually widening from the first connection 11A to the second connection 11B. The slab generation unit 12 includes: a third connection 12A connected to the second channel waveguide 11; and a fourth connection 12B connected to the rib waveguide 4. The slab generation unit 12 includes: the channel core 12C that connects between the third connection 12A and the fourth connection 12B; and a reverse-tapered slab 12D that gradually widens from the second channel waveguide 11 to the rib waveguide 4 on both sides of the core 12C.
A material refractive index N1 of the upper cladding 21B is within a range of N2×0.95<N1<N2×1.05, with respect to a material refractive index N2 of the lower cladding 21A. Here, the difference between the material refractive index of the upper cladding 21B and the material refractive index of the lower cladding 21A is within a range of ±5%. In particular, the material refractive index N1 of the upper cladding 21B is preferably within a range of N2×0.97<N1<N2×1.03. Here, the difference between the material refractive index of the upper cladding 21B and the material refractive index of the lower cladding 21A is within a range of ±3%.
The effective refractive index at a cut portion of the first connection 11A is larger in the order of TE0, TM0, and TE1. The effective refractive index at a cut portion of the second connection 11B is larger in the order of TE0, TE1, and TM0. The effective refractive index at a cut portion of the fourth connection 12B is larger in the order of TE0, TE1, and TM0.
The second channel waveguide 11 is configured to be an almost vertically symmetric channel waveguide and therefore the amount of mode conversion is almost negligible, so that TE0 is outputted as TE0, TM0 is outputted as TM0, and TE1 is outputted as TE1, and the effective refractive index of the output satisfies TE0>TE1>TM0. On the other hand, the effective refractive index of the output of the slab generation unit 12 also satisfies TE0>TE1>TM0. In other words, the effective refractive index of the output of the second channel waveguide 11 and the effective refractive index of the output of the slab generation unit 12 satisfy a relationship TE0>TE1>TM0. For the convenience of explanation, the dimensional parameters are just examples for satisfying the above-described conditions, and can be suitably changed.
In the second channel waveguide 11, the difference between the effective refractive index of the upper cladding 21B and the effective refractive index of the lower cladding 21A is within a specified tolerance, and accordingly any refractive index cross section is vertically symmetric. On the other hand, although the magnitude relationship between the effective refractive index of TE1 and the effective refractive index TM0 is reversed, a condition that the refractive index cross section is vertically symmetric is satisfied, so that, even when the magnitude relationship between the effective refractive index of TE1 and the effective refractive index of TM0 is reversed at some midpoint in a reverse-tapered portion, interaction can be weakened. As a result, the magnitude relationship between the effective refractive index of TE1 and the effective refractive index of TM0 can be reversed almost without a transition of TE1 to another mode.
When the wavelength of light guided through the first connection 11A is 1.55 μm, the effective refractive indexes of a cross section of the first connection 11A are 2.446 for TE0, 1.771 for TM0, and 1.493 for TE1. When the wavelength of light guided through the second connection 11B is 1.55 μm, the effective refractive indexes of a cross section of the second connection 11B are 2.689 for TE0, 1.907 for TM0, and 2.169 for TE1.
In the slab generation unit 12, the magnitude relationship between TE1 and TM0 at cross sections of the third connection 12A and the fourth connection 12B does not change, and accordingly mode conversion between TE1 and TM0 does not occur. When the wavelength of light guided is 1.55 μm, the effective refractive indexes of a cross section of the fourth connection 12B are 2.719 for TE0, 2.1 for TM0, and 2.356 for TE1. Thus, the difference between the effective refractive index of the upper cladding 21B and the effective refractive index of the lower cladding 21A is within a predetermined tolerance, and therefore there is taken advantage of the fact that the refractive index cross section of the channel waveguide is vertically symmetric. Then, mode conversion of the magnitude relationship between the effective refractive index of TE1 and the effective refractive index of TM0 is performed in the channel waveguide instead of the rib waveguide, unlike the conventional technology. As a result, in the second channel waveguide 11, mode conversion of TE1 to another mode can be substantially prevented.
The cross section of the first channel waveguide 2 is illustrated to have a rectangular shape, but may have a trapezoidal shape that approximates to the rectangular shape. Similarly, the cross section of the second channel waveguide 11 configured to be a channel waveguide is illustrated to have a rectangular shape, but may have a trapezoidal shape that approximates to the rectangular shape and the shape of the cross section can be suitably changed. In actual manufacturing, the shape of the cross sections of the first channel waveguide 2 and the second channel waveguide 11 are sometimes trapezoidal, but are more greatly vertically symmetric than that of the rib waveguide 4, which is greatly vertically asymmetric. This can substantially prevent mode conversion of TE1 to another mode.
In this case, the sidewall angle θ is, for example, preferably within a range of 70° to 90°, and particularly preferably within a range of 75° to 85°. When the sidewall angle θ is such that 70°≤θ≤90°, although the refractive index distribution of the cross section of the second channel waveguide 11 is vertically asymmetric, TE1 can be outputted as TE1 and TM0 can be outputted as TM0, as in the case of the second channel waveguide 11 having a rectangular-shaped refractive index distribution being vertically symmetric.
The reverse-tapered slab 12D of the slab generation unit 12 has a structure in which the slab width of the third connection 12A is 0 μm, and the slab 12D continuously and gradually widens from the third connection 12A toward the fourth connection 12B, but the slab 12D is not limited to this structure.
The transmittance of TE1 passing through the rib waveguide 4 when TE1 was inputted to the first channel waveguide 2 was calculated using FDTD. When the wavelength of the light guided through the first channel waveguide 2 was 1.55 μm, the transmittance of TE1 was −0.13 dB (97.1%). As a result, it can be understood that TE1 guided through the first channel waveguide 2 is outputted to the rib waveguide 4 almost without a transition to another mode.
The optical device 1 in the first embodiment includes the first channel waveguide 2, the second channel waveguide 11, the slab generation unit 12, and the rib waveguide 4. The second channel waveguide 11 includes the first connection 11A connected to the first channel waveguide 2 and the second connection 11B connected to the slab generation unit 12. The second channel waveguide 11 is wider at the second connection 11B than at the first connection 11A. The slab 12D of the slab generation unit 12 includes the fourth connection 12B connected to the rib waveguide 4, and widens from the second connection 11B of the second channel waveguide 11 toward the fourth connection 12B. The effective refractive indexes of the waveguide modes at the first connection 11A are larger in the order of TE0, TM0, and TE1, meanwhile the effective refractive indexes of the waveguide modes at the second connection 11B and the fourth connection 12B are larger in the order of TE0, TE1, and TM0. Thus, mode conversion of TE1 and TM0 is substantially prevented by reversing the magnitude relationship between TM0 and TE1. Then, conversion can be performed between the rib waveguide 4 and the first channel waveguide 2 while a transition to an unnecessary mode is substantially prevented.
The optical device 1 takes advantage of the fact that the effective refractive index of the upper cladding 21B is approximately equal to the effective refractive index of the lower cladding 21A and the refractive index cross section of the second channel waveguide 11 is vertically symmetric. Then, mode conversion of the magnitude relationship between the effective refractive index of TE1 and the effective refractive index of TM0 is performed in the channel waveguide instead of the rib waveguide, unlike the conventional technology. As a result, in the second channel waveguide 11, mode conversion of TE1 to another mode can be substantially prevented.
Since the second channel waveguide 11 is a waveguide including a core having a rectangular or approximately rectangular cross section, the refractive index cross section of the second channel waveguide 11 is vertically symmetric, compared to that of the rib waveguide. Thus, mode conversion of TE1 and TM0 is substantially prevented by reversing the magnitude relationship between TM0 and TE1. Then, conversion can be performed between the rib waveguide 4 and the first channel waveguide 2 while a transition to an unnecessary mode is substantially prevented.
The second channel waveguide 11 reduces the amount of mode conversion from TE1 to TM0 and the amount of mode conversion from TM0 to TE1, among the waveguide modes to be guided. As a result, in the second channel waveguide 11, mode conversion of TE1 to another mode can be substantially prevented.
In the rib waveguide 4 of the optical device 1, removal of TE1 allows TE1 inputted to the first channel waveguide 2 to be efficiently removed. Examples of a TE1 removal structure include a directional coupler including the rib waveguide 4. Thus, unnecessary TE1 inputted to the first channel waveguide 2 can be efficiently removed.
The directional coupler serving as the TE1 removal structure includes two rib waveguides arranged in parallel in a direction perpendicular to the direction of light travel, and makes use of light leakage from the core to cause a light transition from one rib waveguide to the other rib waveguide adjacent to the one rib waveguide. Thus, unnecessary TE1 inputted to the first channel waveguide 2 can be efficiently removed.
In the optical device 1, the linear rib waveguide 4 is illustrated as an example as the structure for removing TE1, but the rib waveguide 4 may be a curved rib waveguide. An embodiment including the curved rib waveguide will be described below as a second embodiment.
The optical device 1A illustrated in
In particular, the linear rib waveguide has weaker light-confinement in the width direction than the channel waveguide and therefore has a greater removal effect of removing TE1 while increasing a loss of TE1. The curved rib waveguide may be in a circular arc shape or may be in the shape of a transition curve such as a clothoid curve, for example, a curve whose curvature is continuous along the direction of light travel, and can be suitably changed. The transition curve leads to a smaller loss caused by mode mismatching than a circular arc, and thus can reduce a loss of TE0. For the convenience of explanation, the shape of the first rib waveguide 31 and the shape of the second rib waveguide 32 are not limited to the above-mentioned shape, and can be suitably changed. In other words, TE1 can be selectively removed using the linear first rib waveguide 31 and the curved second rib waveguide 32.
By using the second channel waveguide 11 and the slab generation unit 12, the optical device 1A according to the second embodiment substantially prevents mode conversion of TE1 and TM0 while reversing the magnitude relationship between TM0 and TE1. Then, conversion can be performed between the rib waveguide 4 and the first channel waveguide 2 while a transition to an unnecessary mode is substantially prevented. Furthermore, by using the linear first rib waveguide 31 and the curved second rib waveguide 32, the optical device 1A can selectively remove TE1 while reducing a loss of TE0.
The directional coupler serving as the TE1 removal structure includes two rib waveguides arranged in parallel in a direction perpendicular to the direction of light travel, and makes use of light leakage from the core to cause a light transition from one rib waveguide to the other rib waveguide adjacent to the one rib waveguide.
The optical device 1B illustrated in
In particular, the rib waveguide has weaker confinement in the width direction than the channel waveguide and causes a selective transition of TE1 from the first rib waveguide 31 to the third rib waveguide 33, and has therefore a greater removal effect of removing TE1. For the convenience of explanation, the shape of the first rib waveguide 31 and the shape of the third rib waveguide 33 is not limited to the above-mentioned shape and can be suitably changed. In other words, TE1 can be selectively removed by using the linear first rib waveguide 31 and the curved third rib waveguide 33. Thus, unnecessary TE1 inputted to the first channel waveguide 2 can be efficiently removed.
For the convenience of explanation, the case in which the core is made of Si and the lower cladding 21A and the upper cladding 21B are made of SiO2 is illustrated, but the embodiment is not limited to this.
The conversion unit 3 according to the present embodiment may be a PLC in which the cores 11C, 12C, the lower cladding 21A, and the upper cladding 21B are all made of SiO2, or may be an InP waveguide or a GaAs waveguide. The conversion unit 3 may be a Si waveguide in which the cores 11C, 12C are made of Si, the lower cladding 21A is made of SiO2, and the upper cladding 21B is made of SiO2, air, or SiN, for example. A Si waveguide is preferably used because the Si waveguide leads to a large specific refractive index difference and thereby leads to stronger light-confinement, and thus a low-loss curved waveguide with a small R can be realized, that is, a smaller-sized optical device can be achieved.
An optical transceiver 80 employing the optical device 1 (1A) according the first and second embodiments will be described.
The light source 82, for example, includes a laser diode and generates light having a predetermined wavelength and supplies the light to the optical transmitter 83 and the optical receiver 84, and is an integrated tunable laser assembly (ITLA), for example. The optical transmitter 83 is an optical modulator that modulates light supplied from the light source 82 by an electrical signal outputted from the DSP 81 and outputs the obtained transmission light to an optical fiber. When light supplied from the light source 82 propagates through a waveguide, the optical transmitter 83 modulates the light by using an electrical signal to be inputted to the optical modulator, and thereby generates transmission light. The optical transmitter 83 includes the optical device 1 (1A) of the present embodiment that guides light.
The optical receiver 84 receives an optical signal from the optical fiber and demodulates the received light by using light supplied from the light source 82. Then, the optical receiver 84 converts the demodulated received light into an electrical signal and outputs the converted electrical signal to the DSP 81. The optical receiver 84 includes the optical device 1 (1A) of the present embodiment that guides light.
In the optical transceiver 80, the optical device 1 (1A) is employed, whereby mode conversion of TE1 and TM0 is substantially prevented by reversing the magnitude relationship between TM0 and TE1. Then, conversion can be performed between the rib waveguide 4 and the first channel waveguide 2 while a transition to an unnecessary mode is substantially prevented.
For the convenience of explanation, the case in which the optical transceiver 80 includes both the optical transmitter 83 and the optical receiver 84 is illustrated, but the optical transceiver 80 may include only one of the optical transmitter 83 and the optical receiver 84. For example, when including only the optical transmitter 83, the optical transceiver 80 is an optical transmitting apparatus, meanwhile, when including only the optical receiver 84, the optical transceiver 80 is an optical receiving apparatus.
In addition, the constituents of the units illustrated in the drawings are not necessarily physically configured as illustrated in the drawings. In other words, specific forms of distribution and integration of the units are not limited to those illustrated in the drawings, and all or some of them can be configured to be functionally or physically distributed or integrated in any unit, depending on types of loads, usage, and the like.
Furthermore, all or part of a processing function performed by each device may be implemented on a microcomputer such as a central processing unit (CPU), a micro processing unit (MPU), or a micro controller unit (MCU). Alternatively, as a matter of course, all or part of each processing function may be implemented on a program that is analyzed and executed by the CPU (or a microcomputer such as the MPU or the MCU) or on hardware using wired logic.
According to one aspect, a waveguide conversion capable of substantially preventing a transition to an unnecessary mode between the channel waveguide and the rib waveguide can be achieved.
All examples and conditional language recited herein are intended for pedagogical purposes of aiding the reader in understanding the invention and the concepts contributed by the inventor to further the art, and are not to be construed as limitations to such specifically recited examples and conditions, nor does the organization of such examples in the specification relate to a showing of the superiority and inferiority of the invention. Although the embodiments of the present invention have been described in detail, it should be understood that the various changes, substitutions, and alterations could be made hereto without departing from the spirit and scope of the invention.
Number | Date | Country | Kind |
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2023-079087 | May 2023 | JP | national |