IEICE Electronics Express
Online ISSN : 1349-2543
ISSN-L : 1349-2543
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Asymptotic solution with higher-order approximation for transient whispering gallery mode radiation field excited by a UWB pulse source
Keiji GotoToru KawanoToyohiko Ishihara
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2011 Volume 8 Issue 8 Pages 561-567

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Abstract

Asymptotic solution with higher-order approximation has been derived for the transient whispering gallery (WG) mode radiation field excited by a Gaussian-type modulated ultra-wideband pulse source. Time-domain asymptotic solution is obtained by applying the saddle point technique to evaluate the inverse Fourier transform for the transient WG mode radiation field. Asymptotic solution with higher-order approximation provides the new physical phenomena that the instantaneous angular frequency changes as the function of a time and the shape of the Gaussian beam is expanded in terms of a time. The validity of the asymptotic solution has been confirmed by comparing with the reference solution.

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© 2011 by The Institute of Electronics, Information and Communication Engineers
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