6533b7cefe1ef96bd1256f0c

RESEARCH PRODUCT

Full modal analysis of confocal coaxial elliptical waveguides

Benito GimenoAngela CovesVicente E. BoriaM. FerrandoR. Navarro

subject

Helmholtz equationComputer Networks and Communicationsbusiness.industryModal analysisMethod of moments (statistics)Transverse modeOpticsConvergence (routing)Electrical and Electronic EngineeringCoaxialbusinessEigenvalues and eigenvectorsElliptic coordinate systemMathematics

description

An efficient method for analysing confocal coaxial elliptical waveguides is presented. Using elliptical coordinates, the differential Helmholtz equation is transformed into a linear matrix eigenvalue problem by means of the method of moments. The expressions of the vector mode functions for the full spectrum of these guides are constructed, including the TEM, TM and TE modes. The convergence of the method is very good, giving an efficient and accurate code. Comparisons with numerical results found in the technical literature validate the presented theory.

https://doi.org/10.1049/ip-map:20000737