Abstract
A generalized modal expansion theory is presented to investigate and illustrate the physics of wave-matter interaction within arbitrary two-dimensional (2-D) bounded and unbounded electromagnetic problems. We start with the bounded case where the field excited by any sources is expanded with a complete set of biorthogonal eigenmodes. In regard to non-Hermitian or nonreciprocal problems, an auxiliary system is constructed to seek for the modal-expansion solution. We arrive at the unbounded case when the boundary tends to infinity or is replaced by the perfectly matched layer (PML). Modes are approximately categorized into two types: trapped modes and radiation modes, which respond differently to environment variations. When coupled with the source, these modes contribute to the modal-expansion solution with different weights, which leads to a reduced modal representation of the excited field in some geometries. © 2002-2011 IEEE.
Recommended Citation
Q. I. Dai et al., "Generalized Modal Expansion Of Electromagnetic Field In 2-D Bounded And Unbounded Media," IEEE Antennas and Wireless Propagation Letters, vol. 11, pp. 1052 - 1055, article no. 6287542, Institute of Electrical and Electronics Engineers, Oct 2012.
The definitive version is available at https://doi.org/10.1109/LAWP.2012.2215571
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Eigenproblem with perfectly matched layer (PML); generalized modal expansion; reduced modal representation
International Standard Serial Number (ISSN)
1536-1225
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
17 Oct 2012
