Transient Analysis of Plane Wave Reflection from a Lorentz Half Space

Abstract:

A time domain technique based on numerical inversion of Laplace transform is extended and applied to transient analysis of pulses reflected from a Lorentz half space both for TE and TM cases. Its correctness and effectiveness are validated by comparing our results with those published in the literature. With this technique, the TM case when the incident angle is equal to 45⁰ does not need to be processed separately and can be treated as a general case for any incident angle. This technique brings good accuracy in both late and early time, a simple algorithm, short calculation time, small required memory size and readily controlled error.

• Periodical: Advanced Materials Research (Volumes 301-303)
• Pages: 653-660
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.301-303.653
• Online since: July 2011
• Authors: Qing Sheng Zeng, Gilles Y. Delisle
• Keywords: Lorentz Half Space, Numerical Inversion of Laplace Transform, Plane Wave Reflection, TE (Transverse Electric) and TM (Transverse Magnetic) Cases, Transient Analysis

References

[1] A. Sommerfeld: Über die Fortpflanzung des Lichtes in dispergierenden Medien, Ann. Phys., Vol. 44 (1914), pp.177-202.

DOI: 10.1002/andp.19143491002

[2] K. E. Oughstun and G. C. Sherman: Electromagnetic Pulse propagation in Casual Dielectrics, Berlin: Springer-Verlag, (1994).

[3] K. G. Gray: The reflected impulse response of a Lorentz medium, Proc. IEEE, Vol. 68 (1980), pp.408-409.

DOI: 10.1109/proc.1980.11648

[4] B. V. Stanic, D. R. Milanovic, and J. M. Cvetic: Pulse reflection from a lossy Lorentz medium half-space (TM polarization), J. Phys. D: Appl. Phys., Vol. 24 (1991), pp.1245-1249.

DOI: 10.1088/0022-3727/24/8/004

[5] S. M. Cossmann, E. J. Rothwell, and L. C. Kempel: Transient reflection of TE-polarized plane waves from a Lorentz-medium half-space, J. Opt. Soc. Am., Series A, Vol. 23 (2006), No. 9, pp.2320-2323.

DOI: 10.1364/josaa.23.002320

[6] S. M. Cossmann, E. J. Rothwell, and L. C. Kempel: Transient reflection of TM-polarized plane waves from a Lorentz-medium half-space, J. Opt. Soc. Am., Series A, Vol. 24 (2007), No. 3, pp.882-887.

DOI: 10.1364/josaa.24.000882

[7] Q. Zeng and G. Y. Delisle: Time domain analysis of electromagnetic pulse propagating in plasma, in Proceedings of 2008 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, San Diego, California, USA, July 5-12, (2008).

DOI: 10.1109/aps.2008.4619150

[8] Q. Zeng and G. Y. Delisle; Waveform Parameter Estimation and Material Characterization, PIERS Online, Vol. 5 (2009), No. 3, pp.241-247.

DOI: 10.2529/piers081021103841

[9] Q. Zeng: Transient Analysis of Electromagnetic Waves Based on Numerical Inversion of Laplace Transform, PhD Thesis, School of Information and Technology Engineering (SITE), University of Ottawa, Ottawa, Ontario, Canada, (2010).

[10] T. Hosono: Numerical inversion of Laplace transform and some applications to wave optics, Radio Sci., Vol. 16 (1981).

DOI: 10.1029/rs016i006p01015

[6] .