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Multimode equivalent network representation for planar junctions involving elliptical waveguides
Author(s) -
Gimeno B.,
Guglielmi M.
Publication year - 1996
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19960805)12:5<272::aid-mop8>3.0.co;2-7
Subject(s) - multi mode optical fiber , eigenvalues and eigenvectors , planar , optics , waveguide , helmholtz equation , mathieu function , physics , mathematical analysis , representation (politics) , mathematics , computer science , boundary value problem , quantum mechanics , optical fiber , computer graphics (images) , politics , law , political science
Abstract Elliptical waveguides and irises are important for application in wide‐band filters and advanced dual‐mode filters. In this Letter we present a general formulation for the multimode equivalent network representation of planar waveguide junctions involving elliptical waveguides. The modes of the elliptical waveguide are obtained by transforming the Helmholtz equation in elliptical coordinates into an equivalent linear matrix eigenvalue equation so that the use of Mathieu functions is avoided. Finally, numerical and experimental results for a number of junctions are presented, and good agreement is found. © 1996 John Wiley & Sons, Inc.