Open AccessEfficient rational Chebyshev pseudo-spectral method with domain decomposition for optical waveguides modal analysis
Author(s) -
Amgad Abdrabou,
A. M. Heikal,
S. S. A. Obayya
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.010495
Subject(s) - chebyshev polynomials , chebyshev filter , optics , basis function , robustness (evolution) , boundary value problem , modal , fourier transform , refractive index , modal analysis , physics , mathematical analysis , mathematics , materials science , biochemistry , chemistry , quantum mechanics , polymer chemistry , vibration , gene
We propose an accurate and computationally efficient rational Chebyshev multi-domain pseudo-spectral method (RC-MDPSM) for modal analysis of optical waveguides. For the first time, we introduce rational Chebyshev basis functions to efficiently handle semi-infinite computational subdomains. In addition, the efficiency of these basis functions is enhanced by employing an optimized algebraic map; thus, eliminating the use of PML-like absorbing boundary conditions. For leaky modes, we derived a leaky modes boundary condition at the guide-substrate interface providing an efficient technique to accurately model leaky modes with very small refractive index imaginary part. The efficiency and numerical precision of our technique are demonstrated through the analysis of high-index contrast dielectric and plasmonic waveguides, and the highly-leaky ARROW structure; where finding ARROW leaky modes using our technique clearly reflects its robustness.