Compact highly-efficient polarization splitter and rotator based on 90 ° bends

We propose a compact highly-efficient CMOS-compatible polarization splitter and rotator (PSR) with a wide bandwidth covering the whole O-band. It benefits from the different confinement capability of TE and TM modes in bend structure. This bend structure helps shorten the PSR and maintain high efficiency, achieving the bending, polarization splitting, rotating of light beam at the same time. Numerical simulations utilizing Lumerical 3-D FDTD solutions demonstrate that the present PSR has a high TM-TE conversion efficiency of −0.11 dB and high TE-TE conversion efficiency of −0.09 dB at 1310 nm, while the extinction ratio is 27.36 dB and 30.61 dB respectively. ©2016 Optical Society of America OCIS codes: (130.0130) Integrated optics; (130.3120) Integrated optics devices; (230.5440) Polarization-selective devices. References and links 1. T. Barwicz, M. R. Watts, M. A. Popović, P. T. Rakich, L. Socci, F. X. Kärtner, E. P. Ippen, and H. I. 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Those structures commonly use straight waveguides for achieving PSRs as their design rules are relatively easy [6][7][8][9][10][11][12][13].Liu Liu and Yunhong Ding et al have demonstrated an efficient PSR by using two parallel straight strip waveguides with air top cladding [11].Although this PSR is compact with a length of ~30µm at 1550nm, it uses 100-nm gap for efficient coupling, which is not applicable for current standard foundry service [16].The lack of solid upper cladding breaks the vertical symmetry of strip waveguide, making polarization rotation achieved more easily.However, that also induces incompatibility and greatly complicates its integration with other building blocks based on most metal back-end-of-line processes.PSRs using SiO 2 layer as cladding have recently been reported in [3,12,13] on an SOI platform.However, these designs are relatively long with a device length of several tens or hundreds of microns.
In this work we exploit two 90° bends with a radius of 10 µm to build an O-band compact PSR, since photonic integrated devices operating at O-band have recently attracted more and more attention, especially in the areas of datacom [5], and quantum communication [17,18].As known, the bend structure creates different confinement capability for TE and TM modes, which is undesirable in most devices reported previously [19].However, here we take advantage of it to help shorten the PSR and maintain high efficiency, achieving the bending, polarization splitting, rotating of input light beam at the same time.Numerical simulations utilizing Lumerical 3-D FDTD solutions demonstrate that this compact PSR has a high TM-TE conversion efficiency of −0.11 dB and high TE-TE conversion efficiency of −0.09 dB at 1310nm, while the extinction ratio is 27.36 dB and 30.61 dB respectively.Moreover, the 3-dB bandwidth of proposed PSR covers all the O-band range.Furthermore, this design uses SiO 2 as top-cladding, making it compatible with current multi-layer CMOS foundry services [16].

Principle and design
As shown in Fig. 1, the inner bend of proposed PSR is set as the through waveguide so that this design is able to exploit the different confinement of TE and TM in bend structure, i.e., the TE is naturally better confined in the inner bend while TM is relatively easier leaking into the outer bend.
For TE mode, the light beam keeps propagating along the inner bend and then exits at the output port of inner bend.This can be realized by setting a sufficient difference of effective refractive indices between TE mode in the inner bend and all possible modes in the outer bend, making phase-matching condition unsatisfied for mode coupling.At the same time, TM mode launched in the inner bend needs to be converted to TE mode supported by the outer bend.This can be achieved by optimizing the cross section of two 90° bends for better satisfying the phase-matching condition of TM mode coupling.Moreover, due to the unique double-bend structure, the TM mode is easier leaking into the outer bend, indicating the coupling coefficient of TM mode increases by utilizing bend structure.In order to use SiO 2 as top-cladding and also break the vertical symmetry for achieving TM-TE conversion at the same time, the outer bend is partially etched.Here we design a sample operating at O-band based on SOI platform with top silicon thickness H 1 = 220nm.In order to take advantage of the better confinement for TE mode than TM mode in bend strucutre, the width and radius of inner bend are chosen as 400 nm and 10 µm respectively, which keeps low loss for fundamental modes in the bend structure.Although smaller gap can increase the coupling efficiency and thus shorten the device length, the gap between two parallel waveguides cannot be too small as it would make the fabrication difficult.Since the 248-nm optical lithography technology normally uses 200-nm gap, here the gap W g is 0.2 µm [16].In order to have a complete coupling of TM mode supported by the inner bend and TE mode supported by the outer bend, theoretically these two bends need proper cross sections for satisfying the phase-matching conditions, i.e. their optical path lengths (OPLs) should be the same [20,21], which means, where θ is the angle for the bend, 0 k is the wavenumber, N 1 and N 2 are the effective refractive indices of the TM and TE mode supported by the inner and outer bend respectively, R 1 and R 2 are the corresponding bend radii.By using Lumerical MODE solutions, the refractive index of different cross section of double bends can be calculated, and thus the cross sections are able to be optimized for high coupling efficiency.Here the height of etched slab H 2 is 110nm.We choose the width of the fully-etched layer W 2 to be 0.21µm and the width of partial-etched one W 3 to be 0.285µm, which makes the OPLs in these two bends match with each other.In order to convert the partial etched outer bend into a stripe waveguide, a taper is exploited at the end of the outer bend with a length of 5µm.  ) for TE and TM mode supported in designed cross section as the wavelength varies from 1.26 µm to 1.36 µm.The OPL of TE mode in the inner bend is much larger than that of the modes in the outer bend, which prevents any mode coupling when TE mode is injected into the inner bend.At the same time, the OPL of TM mode supported by inner bend is almost the same as that of TE mode supported by outer bend within 100-nm wavelength range, which makes possible the high efficient coupling from TM mode supported by inner bend to TE mode supported by outer bend.By exploiting three-dimensional finite-difference-time-domain (3-D FDTD) method, the simulation result of light propagation is depicted in Fig. 3 (a) and (b), when TE and TM modes at 1310-nm wavelength are stimulated in the inner bend.As predicted in the design principles, when the TE mode is injected into the inner bend, the light beam is well confined and maintains its propagation in the inner bend.When TM mode is stimulated in the inner bend, light is efficiently coupled to TE mode in the outer bend and then exits from the cross output port.The TM mode splitting and rotating process is further demonstrated in Fig. 4. At cross section (I), TM mode is stimulated at the input of inner bend, as depicted in Fig. 4(a).At cross section (II), the TM mode is partially converted to TE-like mode in the outer bend, as depicted in Fig. 4(b).At cross section (III), almost all the power carried by TM mode in the inner bend are coupled to TE mode supported by outer bend, as demonstrated in Fig. 4(c).At cross section (IV), the cross waveguide is separated enough far away from the through waveguide so that no light could be coupled back, while the partial-etched outer bend is tapered into a strip waveguide at the cross output.

Conclusion
In summary, we have proposed an O-band compact PSR by exploiting 90° bends.We take advantage of bend structure with a radius of only 10 µm to help shorten the PSR and maintain high efficiency, achieving the bending, polarization splitting, rotating of input light beam at the same time.Smaller radius might be possible to be used for even shorter PSR design.Numerical simulations show that the present PSR has a high TM-TE polarization conversion efficiency of −0.11 dB and high TE-TE conversion efficiency of −0.09 dB at 1310nm, while the extinction ratio is 27.36 dB and 30.61 dB respectively.Moreover, the 3-dB bandwidth of proposed PSR covers all the O-band range.Due to its general principle, similar design with different geometry parameters can be applied for operating in other wavelength ranges, including C-band, L-band, and mid-IR.Furthermore, this design uses SiO 2 as top-cladding, making it compatible with most advanced CMOS technology.Thus it's ready for fabrication and testing by using standard foundry services [16].This design provides a potential solution for polarization handing in future large-scale high-density photonic integrated chips.

Fig. 1 .
Fig. 1.(a) Top view and (b) three-dimensional view of the PSR based on the 90° bends.For clarity, the SiO2 cladding is not shown.

Fig. 2 .
Fig. 2. OPLs of the TE and TM mode supported by the inner and outer bend.

Figure 2
Figure 2 shows the numerically calculated optical path lengths OPL ( 2 θ π =) for TE and TM mode supported in designed cross section as the wavelength varies from 1.26 µm to 1.36 µm.The OPL of TE mode in the inner bend is much larger than that of the modes in the outer bend, which prevents any mode coupling when TE mode is injected into the inner bend.At the same time, the OPL of TM mode supported by inner bend is almost the same as that of TE mode supported by outer bend within 100-nm wavelength range, which makes possible the high efficient coupling from TM mode supported by inner bend to TE mode supported by outer bend.

Fig. 3 .
Fig. 3. (a) The light propagation when TE mode is stimulated in the inner bend.(b) The light propagation when TM mode is stimulated in the inner bend.The light wavelength is 1310 nm.

Fig. 4 .
Fig. 4. (a) The TM mode at the input port of inner bend.(b) The hybrid mode at the middle of the bend, where the energy carried by TM mode is converting into TE-like mode in the outer bend.(c) Most energy is coupled into TE-like mode in the outer bend.(d) Converted TE mode at the cross output of the outer bend.The light wavelength is set to be 1310 nm.

Fig. 5 .
Fig. 5.The mode conversion efficiency as a function of the wavelength in the cross output port (a) and through output port (b).The conversion efficiency below −40 dB is not shown.The proposed PSR is evaluated by conversion efficiency (CE), extinction ratio (ER), and crosstalk (CT)[5,12,13].The CE for the input TM and TE mode is defined as ( ) 10 10 log / Cross Cross Input TM TE TM TE TM CE P P − − = and