5 citations · 7 across the 4 of their papers we have counts for
4 papers
Bounds on Propagation Constants in Dielectric Gratings
Ehsan Faghihifar
We establish analytical bounds on the normalized longitudinal propagation constants of modes in lossless dielectric diffraction gratings. If denotes the maxi…
Boundedness of Left Half-Plane Eigenvalues for Coefficient-Coupled Sturm--Liouville Problems with Application to Fourier Modal Methods
Ehsan Faghihifar
We study a class of Sturm--Liouville problems of the form \[ -(p\,y')' + q\,y = λ\, w\, y, \] on a finite interval with complex-valued coefficients, where and are piecewise…
Fast estimation of propagation constants in crossed gratings
Ehsan Faghihifar, Mahmood Akbari, Seyed Amir Hossein Nekuee
Fourier-based modal methods are among the most effective numerical tools for the accurate analysis of crossed gratings. However, leading to computationally expensive eigenvalue equ…
Exclusive robustness of Gegenbauer method to truncated convolution errors
Ehsan Faghihifar, Mahmood Akbari
Spectral reconstructions provide rigorous means to remove the Gibbs phenomenon and accelerate the convergence of spectral solutions in non-smooth differential equations. In this pa…