Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity

Hiroshi SHIRAI; Eiji NAKANO; Mikio YANO

Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity

Hiroshi SHIRAI, Eiji NAKANO, Mikio YANO

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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.

Publication: IEICE TRANSACTIONS on Electronics Vol.E75-C No.5 pp.627-634

Publication Date: 1992/05/25

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Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Hiroshi SHIRAI, Eiji NAKANO, Mikio YANO, "Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity" in IEICE TRANSACTIONS on Electronics, vol. E75-C, no. 5, pp. 627-634, May 1992, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e75-c_5_627/_p

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@ARTICLE{e75-c_5_627,
author={Hiroshi SHIRAI, Eiji NAKANO, Mikio YANO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity},
year={1992},
volume={E75-C},
number={5},
pages={627-634},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={May},}

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TY - JOUR
TI - Analysis of Time Transient EM Field Response from a Dielectric Spherical Cavity
T2 - IEICE TRANSACTIONS on Electronics
SP - 627
EP - 634
AU - Hiroshi SHIRAI
AU - Eiji NAKANO
AU - Mikio YANO
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E75-C
IS - 5
JA - IEICE TRANSACTIONS on Electronics
Y1 - May 1992
AB - 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.
ER -