학술논문

Transformation Optics Combined With Line-Integrals for Fast and Efficient Mode Matching Analysis of Waveguide Devices
Document Type
Periodical
Source
IEEE Journal of Microwaves IEEE J. Microw. Microwaves, IEEE Journal of. 3(3):1051-1060 Jul, 2023
Subject
Fields, Waves and Electromagnetics
Optical waveguides
Transmission line matrix methods
Manganese
Optics
GSM
Waveguide discontinuities
Scattering
Line integrals
mode matching
projection matrix
transformation optics
waveguide
waveguide step discontinuity
Language
ISSN
2692-8388
Abstract
Mode matching method is here applied to waveguide fields calculated in a transformation optics framework. The proposed approach allows to obtain modes in terms of an expansion onto analytical basis functions for a waveguide of general cross-section provided that the contour can be expressed as a single-valued function in polar coordinates. Mode matching surface integrals are then easily reconducted to line-integrals on the contour thanks to the analytic expansion. The effectiveness of the proposed technique is validated against full-wave results from a commercial simulator and measurements available in literature. The proposed method shows a substantial speed-up, especially if the contour contains arcs of circumference, with a comparable accuracy. An in-depth study on the numerical convergence of mode matching and on the accuracy of the line integral formulation is also provided.

Online Access