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Broadband Green’s Function with Higher Order Low Wavenumber Extractions for an Inhomogeneous Waveguide with Irregular Shape

Liao, Tien-Hao and Ding, Kung-Hau and Tsang, Leung (2019) Broadband Green’s Function with Higher Order Low Wavenumber Extractions for an Inhomogeneous Waveguide with Irregular Shape. Progress In Electromagnetics Research, 164 . pp. 75-95. ISSN 1070-4698. https://resolver.caltech.edu/CaltechAUTHORS:20190522-154638380

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Abstract

The method of broadband Green's functions with low wavenumber extractions (BBGFL) is used to calculate Green's function for inhomogeneous waveguides filled with different dielectrics and with irregular boundaries. To construct the BBGFL modal solutions, we derive governing equations of the linear eigen-matrix problem and orthonormalization condition. In BBGFL, the Green's function is represented in modal expansions with convergence accelerated by higher order low wavenumber extractions. To obtain a linear eigenvalue problem for the modes, we use two BBGFLs of rectangular waveguides with two dielectric wavenumbers. The orthonormalized mode functions are used to construct the Green's function. Current wavenumber derivatives and Green's function wavenumber derivatives are computed by a single low wavenumber MoM impedance matrix. The wavenumber derivatives are used to accelerate the convergence of modal summations to 6th order. Numerical results are illustrated and compared with the direct MoM method of using free space Green's function. Results show accuracies and computation efficiencies for broadband simulations of Green's functions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.2528/pier18102903DOIArticle
ORCID:
AuthorORCID
Liao, Tien-Hao0000-0002-0678-5545
Tsang, Leung0000-0003-3192-2799
Additional Information:© 2019 EMW Publishing. Received 29 October 2018, Accepted 14 January 2019, Scheduled 6 March 2019.
Record Number:CaltechAUTHORS:20190522-154638380
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190522-154638380
Official Citation:T.-H. Liao, K.-H. Ding, and L. Tsang, "Broadband Green’S Function with Higher Order Low Wavenumber Extractions for an Inhomogeneous Waveguide with Irregular Shape," Progress In Electromagnetics Research, Vol. 164, 75-95, 2019. doi:10.2528/PIER18102903 http://www.jpier.org/PIER/pier.php?paper=18102903
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95717
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 May 2019 23:18
Last Modified:09 Mar 2020 13:19

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