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Fast estimation of propagation constants in crossed gratings
, Article Journal of Optics (United Kingdom) ; Volume 22, Issue 2 , 2020 ; Akbari, M ; Nekuee, S. A. H ; Sharif University of Technology
IOP Publishing Ltd
2020
Abstract
Fourier-based modal methods are among the most effective numerical tools for the accurate analysis of crossed gratings. However, leading to computationally expensive eigenvalue equations significantly restricts their applicability, particularly when large truncation orders are required. The resultant eigenvalues are the longitudinal propagation constants of the grating and play a key role in applying the boundary conditions, as well as in the convergence and stability analyses. This paper aims to propose simple techniques for the fast estimation of propagation constants in crossed gratings, predominantly with no need to solve an eigenvalue equation. In particular, we show that for regular...