Numerical Simulation of the Polarization Inside Lossless Media Characterized by Complex Susceptibilities Using Characteristic-based Method

Ming-Tsu  Ho

doi:10.6180/jase.2007.10.1.06

Numerical Simulation of the Polarization Inside Lossless Media Characterized by Complex Susceptibilities Using Characteristic-based Method

Computer Science and Information Engineering

Ming-Tsu Ho This email address is being protected from spambots. You need JavaScript enabled to view it.¹

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

REFERENCES

[1] Whitfield, D. L. and Janus, J. M., “Three-Dimensional Unsteady Euler Equations Solution Using Flux Splitting,” American Institute of Aeronautics and Astronautics (AIAA) Paper pp. 84 1552 (1984).
[2] Shang, J. S., “A Characteristic-Based Algorithm for Solving 3-D Time-Domain Maxwell Equations,” Electromagnetics, Vol. 10, p. 127 (1990).
[3] Donohoe, J. P., Beggs, J. H. and Mingtsu Ho, “Comparison of Finite-Difference Time-Domain Results for Scattered EM Fields: Yee Algorithm vs. a Characteristic-Based Algorithm,” 27th IEEE Southeastern Symposium on System Theory, March (1995).