Efficient Implementation of Rigorous Coupled-Wave Analysis for Analyzing Binary Gratings

In this letter, the conventional rigorous coupled-wave analysis method is improved by using the Cayley–Hamilton theorem. Using the proposed method, the forward and backward diffraction efficiencies of each order are solved directly from the eigenmatrix. At the same time, the calculation results of the conventional method, the proposed method, and the CST simulations are in good agreement with each other. The results show that the proposed method has obvious advantages in computational efficiency.

[1]  Akhlesh Lakhtakia,et al.  Analysis of the Rigorous Coupled Wave Approach for s-polarized light in gratings , 2019, J. Comput. Appl. Math..

[2]  E Popov,et al.  Maxwell equations in Fourier space: fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Rigorous coupled-wave analysis of absorption enhancement in vertically illuminated silicon photodiodes with photon-trapping hole arrays , 2019, Nanophotonics.

[4]  P. Lalanne,et al.  Highly improved convergence of the coupled-wave method for TM polarization and conical mountings , 1996, Diffractive Optics and Micro-Optics.

[5]  K. Edee,et al.  Perturbation method for the Rigorous Coupled Wave Analysis of grating diffraction. , 2010, Optics express.

[6]  M. Benzi,et al.  Computational efficient RCWA method for simulation of thin film solar cells , 2012 .

[7]  C. Burckhardt.  Diffraction of a Plane Wave at a Sinusoidally Stratified Dielectric Grating , 1966 .

[8]  T. Gaylord,et al.  Rigorous coupled-wave analysis of planar-grating diffraction , 1981 .

[9]  Lifeng Li,et al.  Use of Fourier series in the analysis of discontinuous periodic structures , 1996 .

[10]  Eng Leong Tan,et al.  Hybrid-matrix algorithm for rigorous coupled-wave analysis of multilayered diffraction gratings , 2006 .

[11]  Lifeng Li,et al.  Convergence of the coupled-wave method for metallic lamellar diffraction gratings , 1993 .

[12]  Shanhui Fan,et al.  First-principles simulation of photonic crystal surface-emitting lasers using rigorous coupled wave analysis , 2018, Applied Physics Letters.

[13]  Joerg Bischoff,et al.  Perturbation approach applied to modal diffraction methods. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  T. Shimada,et al.  Simulation of enhanced infrared absorption spectra by rigorous coupled wave analysis , 2019, Materials Research Express.

[15]  G. Michael Morris,et al.  Efficient implementation of rigorous coupled-wave analysis for surface-relief gratings , 1995 .

[16]  Thomas K. Gaylord,et al.  Rigorous coupled-wave analysis of metallic surface-relief gratings , 1986 .

[17]  Lifeng Li.  Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings , 1996 .

[18]  Theodor Tamir,et al.  Theory of Periodic Dielect Waveguides , 1975 .

[19]  Wolfgang Osten,et al.  Normal vector method for convergence improvement using the RCWA for crossed gratings. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[20]  R. LaPierre,et al.  Efficient wave optics modeling of nanowire solar cells using rigorous coupled-wave analysis. , 2018, Optics express.

[21]  T. Gaylord,et al.  Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings , 1995 .

[22]  Thomas K. Gaylord,et al.  Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach , 1995 .