Abstract

A generalized natural mode expansion theory for investigating arbitrary electromagnetic fields is presented. When an inhomogeneity is bounded with impenetrable boundaries, the field excited by arbitrary sources is expanded with a complete set of eigenmodes, which are classified into trapped modes and exterior modes. As the boundaries tend to infinity, trapped modes remain unchanged, while exterior modes form a continuum. In numerical studies, unbounded systems can be emulated by placing perfectly matched layers (PMLs) at finite extent. Simulation shows that only a few natural modes are prominent in expanding the excited field in a properly functioning device. Such a reduced modal picture can provide quick guidance as well as useful physical insight for engineering design and optimization of electromagnetic components and devices.

Department(s)

Electrical and Computer Engineering

International Standard Book Number (ISBN)

978-146735225-3

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.

Publication Date

17 Oct 2014

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