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Transient reflection of TE-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 University, East Lansing, 48824, USA.
Summary
This study analytically determines the time-domain reflection coefficient for plane waves on a Lorentz medium. The simplified form reveals how damping and oscillation frequencies shape the wave response.
Area of Science:
- Electromagnetics
- Wave Propagation
- Materials Science
Background:
- Understanding wave interaction with materials is crucial in electromagnetics.
- Lorentz media exhibit unique electromagnetic properties based on their resonant behavior.
- Analytical solutions are valuable for validating numerical methods.
Purpose of the Study:
- To derive the time-domain reflection coefficient for a plane wave obliquely incident on a Lorentz-medium half-space.
- To obtain a simplified analytical expression for the reflection coefficient.
- To investigate the temporal behavior of the reflection coefficient and its dependence on material parameters.
Main Methods:
- Analytical inversion of the frequency-domain reflection coefficient.
- Derivation of the time-domain reflection coefficient using simple functions and convolution.
- Numerical validation by comparing with the inverse fast Fourier transform (iFFT).
Main Results:
- An analytically derived time-domain reflection coefficient was obtained.
- The expression features simple functions and a single convolution, offering insights into temporal response.
- Numerical validation confirmed the accuracy of the derived analytical form.
Conclusions:
- The simplified analytical form of the reflection coefficient provides clear insights into wave behavior in Lorentz media.
- The relationship between damping coefficient and oscillation frequency significantly influences the response shape.
- The analytical solution serves as a reliable benchmark for numerical simulations.
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