Asymmetric directional couplers based on silicon nanophotonic waveguides and applications

doi:10.1007/s12200-016-0557-8

Frontiers of Optoelectronics

2016, Vol. 9

Issue (3): 450-465 https://doi.org/10.1007/s12200-016-0557-8

本期目录

Asymmetric directional couplers based on silicon nanophotonic waveguides and applications

Daoxin DAI(

),Shipeng WANG

State Key Laboratory for Modern Optical Instrumentation, Centre for Optical and Electromagnetic Research, Zhejiang Provincial Key Laboratory for Sensing Technologies, Zhejiang University, Hangzhou 310058, China

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Abstract：

Directional couplers (DCs) have been playing an important role as a basic element for realizing power exchange. Previously most work was focused on symmetric DCs and little work was reported for asymmetric directional couplers (ADCs). In recently years, silicon nanophotonic waveguides with ultra-high index contrast and ultra-small cross section have been developed very well and it has been shown that ADCs based on silicon-on-insulator (SOI) nanophotonic waveguides have some unique ability for polarization-selective coupling as well as mode-selective coupling, which are respectively very important for polarization-related systems and mode-division-mulitplexing systems. In this paper, a review is given for the recent progresses on silicon-based ADCs and the applications for power splitting, polarization beam splitting, as well as mode conversion/(de)multiplexing.

Key words： silicon photonics asymmetric directional couplers (ADCs) polarization-division multiplexing (PDM) mode-division multiplexing (MDM) polarization beam splitter (PBSs)

收稿日期: 2015-11-09 出版日期: 2016-09-28

Corresponding Author(s): Daoxin DAI

引用本文:

. [J]. Frontiers of Optoelectronics, 2016, 9(3): 450-465.
Daoxin DAI,Shipeng WANG. Asymmetric directional couplers based on silicon nanophotonic waveguides and applications. Front. Optoelectron., 2016, 9(3): 450-465.

链接本文:

https://academic.hep.com.cn/foe/CN/10.1007/s12200-016-0557-8
https://academic.hep.com.cn/foe/CN/Y2016/V9/I3/450

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1	Fukuda H, Yamada K, Tsuchizawa T, Watanabe T, Shinojima H, Itabashi S. Ultrasmall polarization splitter based on silicon wire waveguides. Optics Express, 2006, 14(25): 12401–12408 https://doi.org/10.1364/OE.14.012401 pmid: 19529672
2	Shi Y, Anand S, He S. Design of a polarization insensitive triplexer using directional couplers based on submicron silicon Rib waveguides. Journal of Lightwave Technology, 2009, 27(11): 1443–1447 https://doi.org/10.1109/JLT.2008.2010465
3	Okamoto K. Fundamentals of Optical Waveguides.New York: Academic Press, 2010
4	Haus H A, Huang W P, Kawakami S, Whitaker N. Coupled-mode theory of optical waveguides. Journal of Lightwave Technology, 1987, 5(1): 16–23 https://doi.org/10.1109/JLT.1987.1075416
5	Wagner R E, Cheng J. Electrically controlled optical switch for multimode fiber applications. Applied Optics, 1980, 19(17): 2921–2925 https://doi.org/10.1364/AO.19.002921 pmid: 20234527
6	Schmidt R V, Alferness R C. Directional coupler switches, modulators, and filters using alternating Db techniques. IEEE Transactions on Circuits and Systems, 1979, 26(12): 1099–1108 https://doi.org/10.1109/TCS.1979.1084592
7	Kogelnik H, Schmidt R V. Switched directional couplers with alternating Db. IEEE Journal of Quantum Electronics, 1976, 12(7): 396–401 https://doi.org/10.1109/JQE.1976.1069190
8	Paniccia M J. A perfect marriage: optics and silicon. Optik & Photonik, 2011, 6(2): 34–38
9	Bogaerts W, Selvaraja S K, Dumon P, Brouckaert J, De Vos K, Van Thourhout D, Baets R. Silicon-on-insulator spectral filters fabricated with CMOS technology. IEEE Journal of Selected Topics in Quantum Electronics, 2010, 16(1): 33–44 https://doi.org/10.1109/JSTQE.2009.2039680
10	Bogaerts W, Dumon P, Van Thourhout D, Taillaert D, Jaenen P, Wouters J, Beckx S, Wiaux V, Baets R. Compact wavelength-selective functions in silicon-on-insulator photonic wires. IEEE Journal of Selected Topics in Quantum Electronics, 2006, 12(6): 1394–1401 https://doi.org/10.1109/JSTQE.2006.884088
11	Sasaki K, Ohno F, Motegi A, Baba T. Arrayed waveguide grating of 70× 60 µm2 size based on Si photonic wire waveguides. Electronics Letters, 2005, 41(14): 801–802 https://doi.org/10.1049/el:20051541
12	Bogaerts W, Dumon P, Van Thourhout D, Taillaert D, Jaenen P, Wouter J, Beckx S, Wiaux V, Baets R G. Compact wavelength-selective functions in silicon-on-insulator photonic wires. IEEE Journal of Selected Topics in Quantum Electronics, 2006, 12(6): 1394–1401 https://doi.org/10.1109/JSTQE.2006.884088
13	Soltani M, Yegnanarayanan S, Adibi A. Ultra-high Q planar silicon microdisk resonators for chip-scale silicon photonics. Optics Express, 2007, 15(8): 4694–4704 https://doi.org/10.1364/OE.15.004694 pmid: 19532715
14	Li C, Zhou L, Poon A W. Silicon microring carrier-injection-based modulators/switches with tunable extinction ratios and OR-logic switching by using waveguide cross-coupling. Optics Express, 2007, 15(8): 5069–5076 https://doi.org/10.1364/OE.15.005069 pmid: 19532756
15	Rong H, Jones R, Liu A, Cohen O, Hak D, Fang A, Paniccia M. A continuous-wave Raman silicon laser. Nature, 2005, 433(7027): 725–728 https://doi.org/10.1038/nature03346 pmid: 15716948
16	Xu Q, Schmidt B, Pradhan S, Lipson M. Micrometre-scale silicon electro-optic modulator. Nature, 2005, 435(7040): 325–327 https://doi.org/10.1038/nature03569 pmid: 15902253
17	Barrios C A, Almeida V R, Panepucci R, Lipson M. Electrooptic modulation of silicon-on-insulator submicrometer-size waveguide devices. Journal of Lightwave Technology, 2003, 21(10): 2332–2339 https://doi.org/10.1109/JLT.2003.818167
18	Tang Y, Chen H W, Jain S, Peters J D, Westergren U, Bowers J E. 50 Gb/s hybrid silicon traveling-wave electroabsorption modulator. Optics Express, 2011, 19(7): 5811–5816 https://doi.org/10.1364/OE.19.005811 pmid: 21451605
19	Dai D, Liu L, Wosinski L, He S. Design and fabrication of ultra-small overlapped AWG demultiplexer based on α-SOI nanowire waveguides. Electronics Letters, 2006, 42(7): 400–402 https://doi.org/10.1049/el:20060157
20	Fukuda H, Yamada K, Tsuchizawa T, Watanabe T, Shinojima H, Itabashi S. Silicon photonic circuit with polarization diversity. Optics Express, 2008, 16(7): 4872–4880 https://doi.org/10.1364/OE.16.004872 pmid: 18542586
21	Vermeulen D, Van Acoleyen K, Ghosh S, Selvaraja S, De Cort W, Yebo N, Hallynck E, De Vos K, Debackere P, Dumon P, Bogaerts W, Roelkens G, Van Thourhout D, Baets R. Efficient tapering to the fundamental quasi-TM mode in asymmetrical waveguides. In: Proceedings of European Conference on Integrated Optics (ECIO), United Kingdom, 2010. Paper Wep16
22	Dai D, Bowers J E. Novel concept for ultracompact polarization splitter-rotator based on silicon nanowires. Optics Express, 2011, 19(11): 10940–10949 https://doi.org/10.1364/OE.19.010940 pmid: 21643354
23	Dai D, Bauters J, Bowers J E. Passive technologies for future large-scale photonic integrated circuits on silicon: polarization handling, light non-reciprocity and loss reduction. Light, Science & Applications, 2012, 1(3): e1 https://doi.org/10.1038/lsa.2012.1
24	Dai D, Liu L, Gao S, Xu D, He S. Polarization management for silicon photonic integrated circuits. Laser & Photonics Reviews, 2013, 7(3): 303–328 https://doi.org/10.1002/lpor.201200023
25	Augustin L M, Van der Tol J J G M, Hanfoug R, de Laat W J M, Van de Moosdijk M J E, Van Dijk P W L, Oei Y, Smit M K. A single etch-step fabrication-tolerant polarization splitter. Journal of Lightwave Technology, 2007, 25(3): 740–746 https://doi.org/10.1109/JLT.2006.890430
26	Liang T K, Tsang H K. Integrated polarization beam splitter in high index contrast silicon-on-insulator waveguides. IEEE Photonics Technology Letters, 2005, 17(2): 393–395 https://doi.org/10.1109/LPT.2004.839462
27	Augustin L M, Hanfoug R, Van der Tol J, de Laat W J M, Smit M K. A compact integrated polarization splitter/converter in InGaAsP-InP. IEEE Photonics Technology Letters, 2007, 19(17): 1286–1288 https://doi.org/10.1109/LPT.2007.902277
28	Hong J M, Ryu H H, Park S R, Jeong J W, Gol L S, Lee E H, Park S G, Woo D, Kim S O B H. Design and fabrication of a significantly shortened multimode interference coupler for polarization splitter application. IEEE Photonics Technology Letters, 2003, 15(1): 72–74 https://doi.org/10.1109/LPT.2002.805803
29	Jiao Y, Dai D, Shi Y, He S. Shortened polarization beam splitters with two cascaded multimode interference sections. IEEE Photonics Technology Letters, 2009, 21(20): 1538–1540 https://doi.org/10.1109/LPT.2009.2029349
30	Tu Z, Huang Y W, Yi H X, Wang X J, Li Y P, Li L, Hu W W.A compact SOI polarization beam splitter based on multimode interference coupler. Proceedings of SPIE-The International Society for Optical Engineering, 2011, 8307(1):1–6
31	Yang B K, Shin S Y, Zhang D. Ultrashort polarization splitter using two-mode interference in silicon photonic wires. IEEE Photonics Technology Letters, 2009, 21(7): 432–434 https://doi.org/10.1109/LPT.2009.2013638
32	Kiyat I, Aydinli A, Dagli N. A compact silicon-on-insulator polarization splitter. IEEE Photonics Technology Letters, 2005, 17(1): 100–102 https://doi.org/10.1109/LPT.2004.838133
33	Xiao J, Liu X, Sun X. Design of a compact polarization splitter in horizontal multiple-slotted waveguide structures. Japanese Journal of Applied Physics, 2008, 47(5R): 3748–3754
34	Tu X, Ang S S N, Chew A B, Teng J, Mei T. An ultracompact directional coupler based on gaas cross-slot waveguide. IEEE Photonics Technology Letters, 2010, 22(17): 1324–1326 https://doi.org/10.1109/LPT.2010.2055234
35	Yamazaki T, Aono H, Yamauchi J, Nakano H. Coupled waveguide polarization splitter with slightly different core widths. Journal of Lightwave Technology, 2008, 26(21): 3528–3533 https://doi.org/10.1109/JLT.2008.917322
36	Yue Y, Zhang L, Yang J Y, Beausoleil R G, Willner A E. Silicon-on-insulator polarization splitter using two horizontally slotted waveguides. Optics Letters, 2010, 35(9): 1364–1366 https://doi.org/10.1364/OL.35.001364 pmid: 20436570
37	Shi Y, Dai D, He S. Proposal for an ultracompact polarization-beam splitter based on a photonic-crystal-assisted multimode interference coupler. IEEE Photonics Technology Letters, 2007, 19(11): 825–827 https://doi.org/10.1109/LPT.2007.897297
38	Ao X, Liu L, Wosinski L, He S. Polarization beam splitter based on a two-dimensional photonic crystal of pillar type. Applied Physics Letters, 2006, 89(17): 171115 https://doi.org/10.1063/1.2360201
39	Dai D. Silicon polarization beam splitter based on an asymmetrical evanescent coupling system with three optical waveguides. Journal of Lightwave Technology, 2012, 30(20): 3281–3287 https://doi.org/10.1109/JLT.2012.2218217
40	Dai D, Bowers J E. Novel ultra-short and ultra-broadband polarization beam splitter based on a bent directional coupler. Optics Express, 2011, 19(19): 18614–18620 https://doi.org/10.1364/OE.19.018614 pmid: 21935230
41	Wang J, Liang D, Tang Y, Dai D, Bowers J E. Realization of an ultra-short silicon polarization beam splitter with an asymmetrical bent directional coupler. Optics Letters, 2013, 38(1): 4–6 https://doi.org/10.1364/OL.38.000004 pmid: 23282819
42	Komatsu M A, Saitoh K, Koshiba M. Design of miniaturized silicon wire and slot waveguide polarization splitter based on a resonant tunneling. Optics Express, 2009, 17(21): 19225–19233 https://doi.org/10.1364/OE.17.019225 pmid: 20372659
43	Dai D, Wang Z, Bowers J E. Ultrashort broadband polarization beam splitter based on an asymmetrical directional coupler. Optics Letters, 2011, 36(13): 2590–2592 https://doi.org/10.1364/OL.36.002590 pmid: 21725489
44	Lin S, Hu J, Crozier K B. Ultracompact, broadband slot waveguide polarization splitter. Applied Physics Letters, 2011, 98(15): 151101 https://doi.org/10.1063/1.3579243
45	Lou F, Dai D, Wosinski L. Ultracompact polarization beam splitter based on a dielectric-hybrid plasmonic-dielectric coupler. Optics Letters, 2012, 37(16): 3372–3374 https://doi.org/10.1364/OL.37.003372 pmid: 23381261
46	Chee J, Zhu S, Lo G Q. CMOS compatible polarization splitter using hybrid plasmonic waveguide. Optics Express, 2012, 20(23): 25345–25355 https://doi.org/10.1364/OE.20.025345 pmid: 23187351
47	Guan X, Wu H, Shi Y, Wosinski L, Dai D. Ultracompact and broadband polarization beam splitter utilizing the evanescent coupling between a hybrid plasmonic waveguide and a silicon nanowire. Optics Letters, 2013, 38(16): 3005–3008 https://doi.org/10.1364/OL.38.003005 pmid: 24104633
48	Almeida V R, Xu Q, Barrios C A, Lipson M. Guiding and confining light in void nanostructure. Optics Letters, 2004, 29(11): 1209–1211 https://doi.org/10.1364/OL.29.001209 pmid: 15209249
49	Dai D, He S. A silicon-based hybrid plasmonic waveguide with a metal cap for a nano-scale light confinement. Optics Express, 2009, 17(19): 16646–16653 https://doi.org/10.1364/OE.17.016646 pmid: 19770880
50	Song Y, Wang J, Li Q, Yan M, Qiu M. Broadband coupler between silicon waveguide and hybrid plasmonic waveguide. Optics Express, 2010, 18(12): 13173–13179 https://doi.org/10.1364/OE.18.013173 pmid: 20588445
51	Dai D. Silicon mode-(de) multiplexer for a hybrid multiplexing system to achieve ultrahigh capacity photonic networks-on-chip with a single-wavelength-carrier light. In: Proceedings of Communications And Photonics Conference (ACP), IEEE, 2012, 1–3
52	Little B E, Chu S T, Absil P P, Hryniewicz J V, Johnson F G, Seiferth F, Gill D, Van V, King O, Trakalo M. Very high-order microring resonator filters for WDM applications. IEEE Photonics Technology Letters, 2004, 16(10): 2263–2265 https://doi.org/10.1109/LPT.2004.834525
53	Luo X, Song J, Feng S, Poon A W, Liow T Y, Yu M, Lo G Q, Kwong D L. Silicon high-order coupled-microring-based electro-optical switches for on-chip optical interconnects. IEEE Photonics Technology Letters, 2012, 24(10): 821–823 https://doi.org/10.1109/LPT.2012.2188829
54	Tobing L Y M, Dumon P, Baets R, Chin M K. Boxlike filter response based on complementary photonic bandgaps in two-dimensional microresonator arrays. Optics Letters, 2008, 33(21): 2512–2514 https://doi.org/10.1364/OL.33.002512 pmid: 18978904
55	Melloni A. Synthesis of a parallel-coupled ring-resonator filter. Optics Letters, 2001, 26(12): 917–919 https://doi.org/10.1364/OL.26.000917 pmid: 18040491
56	Little B E, Chu S T, Haus H A, Foresi J, Laine J P. Microring resonator channel dropping filters. Journal of Lightwave Technology, 1997, 15(6): 998–1005
57	Xia F, Rooks M, Sekaric L, Vlasov Y. Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects. Optics Express, 2007, 15(19): 11934–11941 https://doi.org/10.1364/OE.15.011934 pmid: 19547556
58	Bachmann M, Besse P A, Melchior H. General self-imaging properties in N × N multimode interference couplers including phase relations. Applied Optics, 1994, 33(18): 3905–3911 https://doi.org/10.1364/AO.33.003905 pmid: 20935735
59	Chen P, Chen S, Guan X, Shi Y, Dai D. High-order microring resonators with bent couplers for a box-like filter response. Optics Letters, 2014, 39(21): 6304–6307 https://doi.org/10.1364/OL.39.006304 pmid: 25361340
60	Morino H, Maruyama T, Iiyama K. Reduction of wavelength dependence of coupling characteristics using si optical waveguide curved directional coupler. Journal of Lightwave Technology, 2014, 32(12): 2188–2192 https://doi.org/10.1109/JLT.2014.2321660
61	Xia F, Sekaric L, Vlasov Y A. Mode conversion losses in silicon-on-insulator photonic wire based racetrack resonators. Optics Express, 2006, 14(9): 3872–3886 https://doi.org/10.1364/OE.14.003872 pmid: 19516534
62	Soldano L B, de Vreede A I, Smit M K, Verbeek B H, Metaal E G, Groen F H. Mach-Zehnder interferometer polarization splitter in InGaAsP/InP. IEEE Photonics Technology Letters, 1994, 6(3): 402–405 https://doi.org/10.1109/68.275500
63	Tang Y, Dai D, He S. Proposal for a grating waveguide serving as both a polarization splitter and an efficient coupler for silicon-on-insulator nanophotonic circuits. IEEE Photonics Technology Letters, 2009, 21(4): 242–244 https://doi.org/10.1109/LPT.2008.2010528
64	Alam M Z, Meier J, Aitchison J S, Mojahedi M.Super mode propagation in low index medium. In: Proceeding of Photonic Applications Systems Technologies Conference, Optical Society of America, 2007, Jthd112
65	Oulton R F, Sorger V J, Genov D A, Pile D F P, Zhang X. A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation. Nature Photonics, 2008, 2(8): 496–500 https://doi.org/10.1038/nphoton.2008.131
66	Oulton R F, Sorger V J, Zentgraf T, Ma R M, Gladden C, Dai L, Bartal G, Zhang X. Plasmon lasers at deep subwavelength scale. Nature, 2009, 461(7264): 629–632 https://doi.org/10.1038/nature08364 pmid: 19718019
67	Fujii M, Leuthold J, Freude W. Dispersion relation and loss of subwavelength confined mode oof metal-dielectric-gap optical waveguides. IEEE Photonics Technology Letters, 2009, 21(6): 362–364 https://doi.org/10.1109/LPT.2008.2011995
68	Sorin W V, Kim B Y, Shaw H J. Highly selective evanescent modal filter for two-mode optical fibers. Optics Letters, 1986, 11(9): 581–583 https://doi.org/10.1364/OL.11.000581 pmid: 19738695
69	Li A, Chen X, Amin A A, Shieh W. Fused fiber mode couplers for few-mode transmission. IEEE Photonics Technology Letters, 2012, 24(21): 1953–1956 https://doi.org/10.1109/LPT.2012.2218803
70	Fontaine N K, Doerr C R, Mestre M A, Ryf R, Winzer P, Buhl L, Sun Y, Jiang X, Lingle R.Space-division multiplexing and all-optical MIMO demultiplexing using a photonic integrated circuit. In: Proceeding of Optical Fiber Communication Conference, Optical Society of America, 2012, PDP5B. 1
71	Wohlfeil B, Stamatiadis C, Zimmermann L, Petermann K.Compact fiber grating coupler on SOI for coupling of higher order fiber modes. In: Proceeding of Optical Fiber Communication Conference, Optical Society of America, 2013, OTh1B. 2
72	Ding Y, Ou H, Xu J, Peucheret C. Silicon photonic integrated circuit mode multiplexer. IEEE Photonics Technology Letters, 2013, 25(7): 648–651 https://doi.org/10.1109/LPT.2013.2247394
73	Koonen A M J, Chen H, Van den Boom H P A, Raz O. Silicon photonic integrated mode multiplexer and demultiplexer. IEEE Photonics Technology Letters, 2012, 24(21): 1961–1964 https://doi.org/10.1109/LPT.2012.2219304
74	Uematsu T, Ishizaka Y, Kawaguchi Y, Saitoh K, Koshiba M. Design of a compact two-mode multi/demultiplexer consisting of multi-mode interference waveguides and a wavelength insensitive phase shifter for mode-division multiplexing transmission. Journal of Lightwave Technology, 2012, 30(15): 2421–2426 https://doi.org/10.1109/JLT.2012.2199961
75	Greenberg M, Orenstein M. Multimode add-drop multiplexing by adiabatic linearly tapered coupling. Optics Express, 2005, 13(23): 9381–9387 https://doi.org/10.1364/OPEX.13.009381 pmid: 19503139
76	Greenberg M Y, Orenstein M.Mode add drop for optical interconnects based on adiabatic high order mode couplers. In: Proceedings of Quantum Electronics and Laser Science Conference, Optical Society of America, 2005, JTuC55
77	Xing J, Li Z, Xiao X, Yu J, Yu Y. Two-mode multiplexer and demultiplexer based on adiabatic couplers. Optics Letters, 2013, 38(17): 3468–3470 https://doi.org/10.1364/OL.38.003468 pmid: 23988986
78	Love J D, Vance R W C, Joblin A. Asymmetric, adiabatic multipronged planar splitters. Optical and Quantum Electronics, 1996, 28(4): 353–369 https://doi.org/10.1007/BF00287024
79	Lee B T, Shin S Y. Mode-order converter in a multimode waveguide. Optics Letters, 2003, 28(18): 1660–1662 https://doi.org/10.1364/OL.28.001660 pmid: 13677528
80	Low A L Y, Yong Y S, You A H, Chien S F, Teo C F. A five-order mode converter for multimode waveguide. IEEE Photonics Technology Letters, 2004, 16(7): 1673–1675 https://doi.org/10.1109/LPT.2004.828512
81	Riesen N, Love J D. Spatial mode-division-multiplexing of few-mode fiber. In: Proceedings of European Conference and Exhibition on Optical Communication, Optical Society of America, 2012, P2. 14
82	Riesen N, Love J D. Design of mode-sorting asymmetric Y-junctions. Applied Optics, 2012, 51(15): 2778–2783 https://doi.org/10.1364/AO.51.002778 pmid: 22614579
83	Driscoll J B, Grote R R, Souhan B, Dadap J I, Lu M, Osgood R M. Asymmetric Y junctions in silicon waveguides for on-chip mode-division multiplexing. Optics Letters, 2013, 38(11): 1854–1856 https://doi.org/10.1364/OL.38.001854 pmid: 23722767
84	Chen W, Wang P, Yang J. Mode multi/demultiplexer based on cascaded asymmetric Y-junctions. Optics Express, 2013, 21(21): 25113–25119 https://doi.org/10.1364/OE.21.025113 pmid: 24150354
85	Bagheri S, Green W. Silicon-on-insulator mode-selective add-drop unit for on-chip mode-division multiplexing. In: Proceedings of 2009 6th IEEE International Conference on Group IV Photonics, 2009
86	Dai D, Wang J, Shi Y. Silicon mode (de)multiplexer enabling high capacity photonic networks-on-chip with a single-wavelength-carrier light. Optics Letters, 2013, 38(9): 1422–1424 https://doi.org/10.1364/OL.38.001422 pmid: 23632505
87	Hanzawa N, Saitoh K, Sakamoto T, Matsui T, Tsujikawa K, Koshiba M, Yamamoto F. Two-mode PLC-based mode multi/demultiplexer for mode and wavelength division multiplexed transmission. Optics Express, 2013, 21(22): 25752–25760 https://doi.org/10.1364/OE.21.025752 pmid: 24216801
88	Qiu H, Yu H, Hu T, Jiang G, Shao H, Yu P, Yang J, Jiang X. Silicon mode multi/demultiplexer based on multimode grating-assisted couplers. Optics Express, 2013, 21(15): 17904–17911 https://doi.org/10.1364/OE.21.017904 pmid: 23938662
89	Luo L W, Ophir N, Chen C, Gabrielli L H, Poitras C B, Bergman K, Lipson M. Simultaneous mode and wavelength division multiplexing on-chip. arXiv preprint arXiv:1306.2378, 2013
90	Ding Y, Xu J, Da Ros F, Huang B, Ou H, Peucheret C. On-chip two-mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer. Optics Express, 2013, 21(8): 10376–10382 https://doi.org/10.1364/OE.21.010376 pmid: 23609748
91	Wang J, He S, Dai D. On-chip silicon 8-channel hybrid (de) multiplexer enabling simultaneous mode-and polarization-division-multiplexing. Laser & Photonics Reviews, 2014, 8(2): L18–L22 https://doi.org/10.1002/lpor.201300157
92	Wang J, Chen P, Chen S, Shi Y, Dai D. Improved 8-channel silicon mode demultiplexer with grating polarizers. Optics Express, 2014, 22(11): 12799–12807 https://doi.org/10.1364/OE.22.012799 pmid: 24921475
93	Wang Z, Dai D. Ultrasmall Si-nanowire-based polarization rotator. JOSA B, 2008, 25(5): 747–753
94	Wang J, Chen S, Dai D. Silicon hybrid demultiplexer with 64 channels for wavelength/mode-division multiplexed on-chip optical interconnects. Optics Letters, 2014, 39(24): 6993–6996 https://doi.org/10.1364/OL.39.006993 pmid: 25503049
95	Dai D, Wang J, Chen S, Wang S, He S. Monolithically integrated 64-channel silicon hybrid demultiplexer enabling simultaneous wavelength-and mode-division-multiplexing. Laser & Photonics Reviews, 2015, 9(3): 339–344 https://doi.org/10.1002/lpor.201400446

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