Efficient and stable implementation of rigorous coupled-wave analysis for surface-relief gratings

Song Peng; G. Michael Morris

doi:10.1117/12.221262

22 September 1995 Efficient and stable implementation of rigorous coupled-wave analysis for surface-relief gratings

Song Peng, G. Michael Morris

Proceedings Volume 2532, Application and Theory of Periodic Structures; (1995) https://doi.org/10.1117/12.221262
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Computationally efficient and stable implementations of rigorous coupled-wave analysis for 1D and 2D surface-relief gratings are presented. The eigenvalue problem for a 1D grating in a conical mounting is reduced to two eigenvalue problems in the corresponding nonconical mounting. The matrix in the eigenvalue problem of 2D gratings is reduced in size by a factor of two. These simplifications reduce the computation time for the eigenvalue problem by 8 to 32 times compared to the original computation time. The required computer memory is also decreased thus complicated grating diffraction problems can be solved efficiently.

Citation Download Citation

Song Peng and G. Michael Morris "Efficient and stable implementation of rigorous coupled-wave analysis for surface-relief gratings", Proc. SPIE 2532, Application and Theory of Periodic Structures, (22 September 1995); https://doi.org/10.1117/12.221262

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