一种亚波长高折射率差光栅滤波器的设计与分析
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摘要
为了便于理解亚波长高折射率差光栅的谐振滤波机制,将光栅看作一个光学谐振器,用时域耦合模理论分析光栅滤波器的透射光谱,同时也验证了分析结果与严格耦合波算法仿真结果的一致性。在此基础上,分别分析入射角、光栅宽度以及温度对光栅滤波器的透射特性的影响及机理。研究结果表明通过改变入射角可以调控光栅滤波器透射光谱的线宽,而在小范围内改变光栅宽度和工作温度对透射光谱线宽没有影响。
Subwavelength high contrast grating(SHCG)is considered as an optical resonator for understanding its resonant filtering mechanism clearly.The transmission spectrum of SHCG is investigated by employing temporal coupled mode theory.The calculated result is in good agreement with the simulation obtained by using the rigorous coupled-wave analysis method.In addition,the influence and mechanism of the filter′s transmittance on incident angle,grating width and temperature are also investigated,respectively.The simulated results show that the spectrum linewidth of SHCG filter is mainly controlled by the incident angle.However,the spectrum linewidth is insensitive to the minor change of the grating width and the operating temperature.
Subwavelength high contrast grating(SHCG)is considered as an optical resonator for understanding its resonant filtering mechanism clearly.The transmission spectrum of SHCG is investigated by employing temporal coupled mode theory.The calculated result is in good agreement with the simulation obtained by using the rigorous coupled-wave analysis method.In addition,the influence and mechanism of the filter′s transmittance on incident angle,grating width and temperature are also investigated,respectively.The simulated results show that the spectrum linewidth of SHCG filter is mainly controlled by the incident angle.However,the spectrum linewidth is insensitive to the minor change of the grating width and the operating temperature.
引文
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16 Hu Jinhua,Huang Yongqing,Duan Xiaofeng,et al..Polarization-selective and wide-angle photodetector based on resonant waveguide grating[J].Chinese J Lasers,2014,41(4):0405005.胡劲华,黄永清,段晓峰,等.基于谐振波导光栅的偏振选择广角光探测器[J].中国激光,2014,41(4):0405005.
17 Hu J H,Huang Y Q,Ren X M,et al..Realization of quantum efficiency enhanced PIN photodetector by assembling resonant waveguide grating[J].Chinese Optics Letters,2014,12(7):072301.
2 Liu Anjin,Werner H E Hofmann,Dieter H Bimberg.Integrated high-contrast-grating optical sensor using guided mode[J].IEEE Journal of Quantum Electronics,2015,51(1):1-8.
3 Foley Justin M,Jamie D Phillips.Normal incidence narrowband transmission filtering capabilities using symmetry-protected modes of a subwavelength,dielectric grating[J].Opt Lett,2015,40(11):2637-2640.
4 Mateus C F R,Huang M C Y,Deng Y F,et al..Ultrabroadband mirror using low-index cladded subwavelength grating[J].IEEE Photon Technol Lett,2004,16(2):518-520.
5 Huang Michael C Y,Y Zhou,Connie J Chang-Hasnain.A surface-emitting laser incorporating a high-index-contrast subwavelength grating[J].Nature Photonics,2007,1(2):119-122.
6 Yang Yisu,Huang Yongqing,Huang Hui,et al..Design of photodetector with subwavelength grating structure[J].Chinese J Lasers,2009,36(9):2352-2357.杨一粟,黄永清,黄辉,等.一种具有亚波长光栅结构的光探测器的设计[J].中国激光,2009,36(9):2352-2357.
7 Zhou Y,Moewe M,Kern J,et al..Surface-normal emission of a high-Q resonator using a subwavelength high-contrast grating[J].Opt Express,2008,16(22):17282-17287.
8 Karagodsky V,Chase C,Chang-Hasnain C J.Matrix Fabry-Perot resonance mechanism in high-contrast gratings[J].Opt Lett,2011,36(9):1704-1706.
9 Moharam M G,Pommet D A,Grann E B,etal..Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings:Enhanced transmittance matrix approach[J].J Opt Soc Am A,1995,12(5):1077-1086.
10 Moharam M G,Grann E B,Pommet D A,etal..Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings[J].J Opt Soc Am A,1995,12(5):1068-1076.
11 Taflove A,Hagness S C.Computational electrodynamics:The finite-difference time-domain method[M].Norwood:Artech House Publishers,2005.
12 Haus H A.Wave and fields in optoelectronics(Prentice-Hall series in solid state physical electronics)[M].Upper Saddle River:Prentice Hall,1983.
13 Fan S,Suh W,Joannopoulos J D.Temporal coupled-mode theory for the Fano resonance in optical resonators[J].J Opt Soc Am A,2003,20(3):569-572.
14 Wei H,Zhong J,Liu L,et al..Signal bandwidth of general N×N multimode interference couplers[J].J Lightwave Technol,2001,19(5):739-745.
15 Fu X Y,Yi K,et al..Design of single-material guided-mode resonance filter[J].Chin Opt Lett,2009,7(1):9-11.
16 Hu Jinhua,Huang Yongqing,Duan Xiaofeng,et al..Polarization-selective and wide-angle photodetector based on resonant waveguide grating[J].Chinese J Lasers,2014,41(4):0405005.胡劲华,黄永清,段晓峰,等.基于谐振波导光栅的偏振选择广角光探测器[J].中国激光,2014,41(4):0405005.
17 Hu J H,Huang Y Q,Ren X M,et al..Realization of quantum efficiency enhanced PIN photodetector by assembling resonant waveguide grating[J].Chinese Optics Letters,2014,12(7):072301.