期刊
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
卷 11, 期 -, 页码 1052-1055出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LAWP.2012.2215571
关键词
Eigenproblem with perfectly matched layer (PML); generalized modal expansion; reduced modal representation
资金
- Research Grants Council of Hong Kong [GRF 711609, 711508]
- University Grants Council of Hong Kong [AoE/P-04/08]
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 non-reciprocal 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.
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