1Department of Electronic Engineering, WuFeng Institute of Technology, Min Shong, Chia Yi, Taiwan 621, R.O.C.
Received:
May 18, 2005
Accepted:
June 23, 2006
Publication Date:
March 1, 2007
Download Citation:
||https://doi.org/10.6180/jase.2007.10.1.06
ABSTRACT
A recently developed numerical method applied to the numerical solutions of the time-domain Maxwell curl equations and the one-dimensional computational results of the propagation of electromagnetic pulses through media having complex higher-order susceptibilities are presented in this paper. Since the linear and nonlinear polarizations due to the linear and complex higher-order susceptibilities can be expressed as a power series of the applied electric field, the characteristic-based method numerically simulates the nonlinear behavior of electromagnetic pulses inside lossless, isotropic, nonlinear materials by incorporating complex higher-order susceptibilities into the permittivity term and then updating the effective permittivity as time progresses. In such task the media are assumed to be frequency-independent. The computed electric fields and the effective permittivities are shown as functions of time for several cases.
Keywords:
Complex Higher-order Susceptibilities, Linear and Nonlinear Polarization, Characteristicbased Method
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