Shape analysis of wavelength-insensitive grating in the resonance domain |
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Authors: | Tetsuya Hoshino Saswatee Banerjee James B Cole Masahide Itoh Toyohiko Yatagai |
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Institution: | 1. Institute of Applied Physics, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba 305-8577, Japan;2. Department of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba 305-8577, Japan;3. Center for Optical Research and Education, Utsunomiya University, 7-1-2 Yoto, Utsunomiya, Tochigi 321-8585, Japan;1. Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, Arlington, TX 76019-0408, USA;2. Department of Mathematics, Texas A&M University, Mailstop 3368, College Station, TX, 77843-3368, USA;1. Institute of Sensor & Actuator Systems, TU Wien, Gusshausstraße 27-29, A-1040, Vienna, Austria;2. Institute of Surface Technologies and Photonics, JOANNEUM RESEARCH Forschungsgesm.b.H., Franz-Pichler-Straße 30, A-8160, Weiz, Austria |
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Abstract: | A triangular grating was compared with a rectangular one to investigate the effect of the shape, polarization and wavelength on the transmissivity and the diffraction angle distribution. The rigorous coupled-wave analysis (RCWA) and the nonstandard finite-difference time-domain (NS-FDTD) algorithm were used for the calculation. We found that the triangular grating in TE mode had the least wavelength dependence in the resonance domain, and this was explained by two independent parameters—(depth/wavelength) and (diffraction order × wavelength / period), whose ratio of the contribution to the diffraction efficiency equation was dependent on grating shape and polarization. |
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