Laser & Optoelectronics Progress, Volume. 50, Issue 9, 90501(2013)

Fourier Analysis of Dielectric Constant in Arbitrarily Shaped Two-Dimensional Grating for Coupled-Wave Analysis

Zhang Qiang1,2、*, Xiong Wei2, and Rong Jian1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    References(11)

    [1] [1] M G Moharam, T K Gaylord. Coupled-wave analysis of reflection gratings[J]. Appl Opt, 1981, 20(2): 240-244.

    [2] [2] M G Moharam, D A Pommet, E B Grann, et al.. Stable implementation of the rigorous coupled-wave analysis for surface-relief dielectric gratings: enhanced transmittance matrix approach[J]. J Opt Soc Am A,1995, 12(5): 1077-1086.

    [3] [3] Lifeng Li. New formulation of the Fourier modal method for crossed surface-relief gratings[J]. J Opt Soc Am A, 1997, 14(10): 2758-2767.

    [4] [4] Eero Noponen, Jari Turunen. Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles[J]. J Opt Soc Am A, 1994, 11(9): 2494-2502.

    [5] [5] M G Moharam. Coupled-wave analysis of two-dimensional dielectric gratings[C]. SPIE, 1988, 883: 8-11.

    [6] [6] Richard O Claus. Comparative study of the modeling of three-dimensional photonic bandgap structures[J]. J Opt Soc Am A, 2003, 20(4): 644-654.

    [7] [7] Elias N Glytsis. Two-dimensionally-periodic diffractive optical elements: limitations of scalar analysis[J]. J Opt Soc Am A, 2002, 19(4): 702-715.

    [8] [8] Soon Ting Han, Yuh-Luen Tsao, Rodger M Walser, et al.. Electromagnetic scattering of two-dimensional surface-relief dielectric gratings[J]. Appl Opt, 1992, 31(13): 2343-2352.

    [9] [9] Ralf Bruer, Olof Bryngdahl. Electromagnetic diffraction analysis of two-dimensional gratings[J]. Opt Commun, 1993, 100(1-4): 1-5.

    [10] [10] Shuqiang Chen, Guoguang Li. Efficient characterization of symmetrically illuminated symmetric 2-D gratings[P]. US Patent 7525672 B1, 2009-04-28.

    [11] [11] Lifeng Li. Use of Fourier series in the analysis of discontinuous periodic structures[J]. J Opt Soc Am A, 1996, 13(9): 1870-1876.

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    Zhang Qiang, Xiong Wei, Rong Jian. Fourier Analysis of Dielectric Constant in Arbitrarily Shaped Two-Dimensional Grating for Coupled-Wave Analysis[J]. Laser & Optoelectronics Progress, 2013, 50(9): 90501

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    Paper Information

    Category: Diffraction and Gratings

    Received: Apr. 23, 2013

    Accepted: --

    Published Online: Aug. 21, 2013

    The Author Email: Qiang Zhang (zq_myemail@163.com)

    DOI:10.3788/lop50.090501

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