[1] LAERE F V, ROELKENS G, BAETS R, et al. Compact and highly efficient grating couplers between optical fiber and nanophotonic waveguides［J］. Journal of Lightwave Technology, 2007, 25(1): 151-156.

[2] ROELKENS G, VERMEULEN D, BAETS R, et al. High efficiency diffractive grating couplers for interfacing a single mode optical fiber with a nanophotonic silicon-on-insulator waveguide circuit［J］. Applied Physics Letters, 2008, 92(13): 131101-1-131101-3.

[3] ZHOU Z P, YU L. Silicon photonic devices based on binary blazed grating［J］. Optical Engineering, 2013, 52(9): 091708-1--091708-10.

[4] SHI W, WANG X, CHROSTOWSKI L. Silicon photonic grating-assisted, contra-directional couplers［J］. Optics Express, 2013, 21(3): 3633-3650.

[5] YANGJ B, ZHOU Z P. Double-structure, bidirectional and polarization-independent subwavelength grating beam splitter［J］. Optics Communications, 2012, 285(6): 1494-1500.

[6] ROELKENS G, VERMEULEN D, THOURHOUT D V, et al. Grating-based optical fiber interfaces for silicon-on-insulator photonic integrated circuits［J］. IEEE Journal of Selected Topics in Quantum Electronics, 2011, 17(3): 571-580.

[7] WANG Wen-min, LIU Wen，MA Wei-dong. Novel compact low refractive index contrast silica-on-silicon AWG［J］. Acta Photonica Sinica, 2011, 40(8): 1137-1142.

[8] KONG Peng, LI Wen-hao，TANG Yu-guo, et al. Effect of recording parameters error on imaging performance of type I holographic concave gratings［J］. Acta Photonica Sinica, 2011, 40(6): 843-846.

[9] LI Jun-yi, AN Jun-ming，WU Yuan-da. Wide bandwidth low crosstalk triplexers based on silica AWG［J］. Acta Photonica Sinica, 2010, 39(2): 205-209.

[10] CHEN X, LI C, TSANG H K. Fabrication-tolerant waveguide chirped grating coupler for coupling to a perfectly vertical optical fiber［J］. IEEE Photonics Technology Letters, 2008, 20(23): 1914-1916.

[11] YANG J B, ZHOU Z P, JIA H H, et al. High-performance and compact binary blazed grating coupler based on an asymmetric subgrating structure and vertical coupling［J］. Optics Letters, 2011, 36(14): 2614-2616.

[12] ROELKENS G, THOURHOUT D V, BAETS R. High efficiency grating coupler between silicon-on-insulator waveguides and perfectly vertical optical fibers［J］. Optics Letters, 2007, 32(11): 1495-1497.

[13] WANG B, JIANG J, NORDIN G P. Compact slanted grating couplers［J］. Optics Express, 2004, 12(15): 3313-3326.

[14] GALLAGHER D F, FELICI T P. Eigenmode expansion methods for simulation of optical propagation in photonics:pros and cons［C］. SPIE, 2003, 4987: 69-82.

[15] BIENSTMAN P, DERUDDER H, BAETS R, et al. Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers［J］. IEEE Transactions on Microwave Theory and Techniques, 2001, 49(2): 349-354.

[16] WANG Z C, TANG Y B, HE S L, et al. Experimental demonstration of an ultracompact polarization beam splitter based on a bidirectional grating coupler［C］. SPIE, 2009, 7631: 763103-1-763103-7.

[17] GAO D S, ZHOU Z P. Nonlinear equation method for band structure calculations of photonic crystal slabs［J］. Applied Physics Letters, 2006, 88(16): 163105-1-163105-3.