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Fast estimation of propagation constants in lamellar gratings needless of solving the eigenvalue equation

Faghihifar, E ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1109/IranianCEE.2019.8786593
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2019
  4. Abstract:
  5. Fourier-based modal methods are among the most significant tools for accurate numerical analysis of grating structures. However, they mostly lead to time consuming and memory hungry eigenvalue problems, particularly when large dielectric constants or high contrasts are involved. We have found an asymptotic semi-empirical relationship for the propagation constants of a lamellar grating, obtained from Fourier-based modal methods. Hence, given any truncation order, it is possible to estimate propagation constants without having to solve the eigenvalue equation. We observed propagation constants only depend on permittivities, filling factors, and the unit cell size, while the dependence on the characteristics of the incident wave and the geometry of the grating is minor and negligible
  6. Keywords:
  7. Asymptotic solution ; Eigenvalue pattern ; Lamellar grating ; Propagation constant ; Fourier transforms ; Modal analysis ; Numerical methods ; Asymptotic solutions ; Eigen-value ; Fourier modal method ; Lamellar gratings ; Eigenvalues and eigenfunctions
  8. Source: 27th Iranian Conference on Electrical Engineering, ICEE 2019, 30 April 2019 through 2 May 2019 ; 2019 , Pages 1342-1346 ; 9781728115085 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8786593