.png){kind=icon}
.png){kind=icon}
Return
Spectral element method for optical planar waveguide modal analysis
.png){kind=icon}
PRE
AI
DOI：10.1364/JOSAA.574250.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
A spectral element method is developed for determining the propagation constants of guided and leaky modes in planar multilayer waveguides. The originality of the technique lies in what we believe to be a novel combination of a hierarchical basis built with modified Legendre polynomials and a rational mapping that efficiently handles semiinfinite computational subdomains. To handle leaky waves, we extend the algebraic mapping to complex coordinates that act as perfectly matched layers (PMLs). The method thus naturally enforces both radiation conditions at infinity and boundary conditions at material interfaces, leading to improved convergence properties without additional constraints or numerical treatments. The efficiency and numerical precision of our method are demonstrated through comparisons with results from the literature for high-index-contrast dielectric and plasmonic waveguides, ARROW anisotropic structures, and quantum well waveguides. (c) 2026 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.
Keywords:
GEGENBAUER POLYNOMIAL EXPANSION
REFLECTION
EQUATIONS
MODES
Journal
J
IF:
0
Papers:
121
Citations:
0