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Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity
Hiroshi SHIRAI Eiji NAKANO Mikio YANO
Publication
IEICE TRANSACTIONS on Electronics
Vol.E75C
No.5
pp.627634 Publication Date: 1992/05/25
Online ISSN:
DOI:
Print ISSN: 09168516 Type of Manuscript: PAPER Category: Electromagnetic Theory Keyword: transient analysis, dielectric sphere, singularity expansion method, wavefront expansion method, FFT,
Full Text: PDF(589.5KB)>>
Summary:
Transient responses by a dielectric sphere have been analyzed here for a dipole source located at the center. The formulation has been constructed first in the frequency domain, then transformed into the time domain to obtain for an impulsive response by two analytical methods, namely the Singularity Expansion Method and the Wavefront Expansion Method. While the former method collects the contributions around the singularities in the complex frequency domain, the latter gives us a result which is a summation of each successive wavefront arrivals. A Gaussian pulse has been introduced to simulate an impulse response result. The Gaussian pulse response is analytically formulated by convolving Gaussian pulse with the corresponding impulse response. Numercal inversion results are also calculated by Fast Fourier Transform Algorithm. Numerical examples are shown here to compare the results obtained by these three methods and good agreement are obtained between them. Comments are often made in connection with the corresponding two dimensional cylindrical case.

