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Summary: STATISTICAL MODEL FOR SCATTERING
MATRICES OF OPEN CAVITIES
Thomas M. Antonsen, Xing Zheng, Edward Ott
Institute for Research in Electronics and Applied Physics,
Sameer Hammedy, Steven Anlage
Center for Superconductivity Research,
University of Maryland College, Park MD, 20742, USA
Abstract: We propose a model to study the statistical properties of the impedance (Z) and scattering (S) matrices of
open electromagnetic cavities with several transmission lines or waveguides connected to the cavity. The model is
based on assumed properties of chaotic eigenfunctions for the closed system. Statistical properties of the cavity
impedance Z are obtained in terms of the radiation impedance (i.e., the impedance seen at a port with the cavity
walls moved to infinity). Effects of wall absorption and nonreciprocal media (e.g., magnetized ferrite) are discussed.
Theoretical predictions are tested by direct comparison with numerical solutions for a specific system.
INTRODUCTION
The problem of the coupling of electromagnetic radiation in and out of structures is a general
one that finds applications in a variety of scientific and engineering contexts. Examples include
the susceptibility of circuits to electromagnetic interference, the confinement of radiation to
enclosures, as well as the coupling of radiation to accelerating structures. Because of the wave
nature of radiation, the coupling properties of a structure depend in detail on the size and shape
of the structure, as well as the frequency of the radiation. In considerations of irregularly
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