Propagation of double-exponential pulse through Debye medium

Author

Liu, Yaxun ; Wang, Wenbing

Author_Institution

Sch. of Electron. & Inf. Eng., Xi´´an Jiaotong Univ., China

Volume

43

Issue

2

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

223

Lastpage

229

Abstract

The saddle point method is applied to the problem of signal propagation through Debye medium. The steepest descent method is used to calculate the propagation of a double-exponential pulse through Debye medium, and the results are compared with those obtained through Hosono´s (1980) method and finite-difference time-domain (FDTD) method. It is found that a Gaussian function can be used to approximate the propagated signal for sufficiently long propagation distance and the analytical representations for the amplitude, center, and width of the propagated pulse are obtained based on the first-order asymptotic representation. An analytical approximation of the saddle points valid for late time is also obtained

Keywords

Gaussian processes; approximation theory; electromagnetic pulse; electromagnetic wave propagation; finite difference time-domain analysis; Debye medium; EM wave propagation; FDTD method; Gaussian function; Hosono´s method; analytical approximation; double-exponential pulse propagation; finite-difference time-domain method; first-order asymptotic representation; late time; long propagation distance; propagated signal approximation; pulse amplitude; pulse center; pulse width; saddle point method; signal propagation; steepest descent method; Dispersion; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic transients; Finite difference methods; Fourier transforms; Laplace equations; Signal analysis; Space vector pulse width modulation; Time domain analysis;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/15.925544

Filename

925544