Generalized Modal Expansion and Reduced Modal Representation of 3-D Electromagnetic Fields

A generalized modal expansion theory for investigating arbitrary 3-D bounded and unbounded electromagnetic fields is presented. When an inhomogeneity is enclosed with impenetrable boundaries, the field excited by arbitrary sources is expanded with a complete set of eigenmodes, which are classified i...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2014-02, Vol.62 (2), p.783-793
Main Authors: Dai, Qi I., Yat Hei Lo, Weng Cho Chew, Liu, Yang G., Li Jun Jiang
Format: Article
Language:English
Subjects:
Antennas
Applied sciences
Boundaries
Cavity resonators
Devices
Dielectrics
Eigenvalues and eigenfunctions
Electromagnetic fields
Exact sciences and technology
Excitation
Frequency domains
Generalized modal expansion
Mathematical analysis
microwave antenna design
nano-optics
Nonhomogeneous media
Perfectly matched layers
radiation mode
Radiocommunications
reduced modal representation
Resonant frequency
Shape
Telecommunications
Telecommunications and information theory
Three dimensional
trapped mode
Vectors
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Summary:A generalized modal expansion theory for investigating arbitrary 3-D bounded and unbounded electromagnetic fields is presented. When an inhomogeneity is enclosed with impenetrable boundaries, the field excited by arbitrary sources is expanded with a complete set of eigenmodes, which are classified into trapped modes and radiation modes. As the boundaries tend to infinity, trapped modes remain unchanged, while radiation modes form a continuum. To illustrate the theory, several real-life structures are investigated with a conformal finite-difference technique in the frequency domain. Perfectly matched layers (PMLs) are imposed at finite extent to emulate the unbounded problems. Numerical examples show that, only a few system modes are prominent in expanding an excited field, leading to a reduced modal picture which provides a quick guidance as well as useful physical insight for engineering design and optimization of electromagnetic devices and components.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2013.2292083