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Transient reflection of TM-polarized plane waves from a Lorentz-medium half-space
Steven M Cossmann1, Edward J Rothwell, Leo C Kempel
1Department of Electrical and Computer Engineering, Michigan State Univerisity, Michigan 48824, USA.
Summary
This study analytically determines the time-domain reflection coefficient for TM-polarized waves on a Lorentz medium. The findings simplify predicting temporal responses and understanding material parameter influences on oscillations.
Area of Science:
- Electromagnetics
- Wave Propagation
- Materials Science
Background:
- Understanding electromagnetic wave interaction with materials is crucial.
- Lorentz media exhibit unique dispersive properties.
- Frequency-domain analysis often requires complex calculations for time-domain behavior.
Purpose of the Study:
- To analytically derive the time-domain reflection coefficient for a TM-polarized plane wave incident on a Lorentz-medium half-space.
- To establish a method for predicting the temporal behavior of reflection coefficients.
- To elucidate the relationship between material parameters and the oscillatory response.
Main Methods:
- Analytical inversion of the frequency-domain reflection coefficient.
- Utilizing the convolution of simple functions to represent the time-domain response.
- Numerical validation via comparison with the inverse fast Fourier transform (iFFT).
Main Results:
- An analytical expression for the time-domain reflection coefficient was obtained.
- The derived expression simplifies temporal behavior prediction.
- The relationship between material parameters and response oscillations is clearly identified.
Conclusions:
- The analytical method provides an efficient way to study transient electromagnetic wave phenomena in Lorentz media.
- The derived time-domain reflection coefficient offers insights into material dispersion effects.
- Numerical validation confirms the accuracy of the analytical approach.
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