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Electromagnetic Signal Propagation in a Lorentz Dispersive Medium

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EN
Abstrakty
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This work is concerned with the propagation of rapidly oscillating electromagnetic (EM) signal in a Lorentz dispersive medium. The problem considered here is 1-dimensional and its exact solution is described by a contour integral defined in a complex frequency plane. With the use of uniform asymptotic techniques, approximate representation for the total field consisting of the Sommerfeld and Brillouin precursors and the main signal is obtained. The effect of the rate of envelope changes, as well as of carrier frequency on the shape of the total signal is examined.
Twórcy
  • Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences, Nowoursynowska 159, 02-776 Warsaw, Poland., adam_ciarkowski@sggw.pl
Bibliografia
  • [1] J. D. Jackson, Classical Electrodynamics, 3rd ed. John Wiley, 1999.
  • [2] A. Sommerfeld, „Über die fortpflanzung des lichtes in dispergieren den medien”, Annalen der Physik, vol. 44, 1914.
  • [3] L. Brillouin, „Über die fortpflanzung des lichtes in dispergieren den medien”, Annalen der Physik, vol. 44, 1914.
  • [4] L. Brillouin, Wave Propagation and Group Velocity. Academic Press, 1960.
  • [5] N. Bleistein and R. A. Handelsman, Asymptotic Expansions of Integrals. Holt, Rinehart and Winston, 1975.
  • [6] L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves. Prentice-Hall, 1974.
  • [7] S. Rikte, „Existence, uniqueness, and causality theorems for wave praopagation in stratiffied, temporally dispersive, complex media”, SIAM Journal on Applied Mathematics, vol. 57, 1997.
  • [8] M. Kelbert and I. Sazonov, Pulses and Other Wave Processes in Fluids. Kluwer, 1996.
  • [9] K. E. Oughstun and G. C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics. Springer, 1997.
  • [10] K. E. Oughstun, N. A. Cartwright, D. J. Gauthier, and H. Jeong, „Optical precursors in the singular and weak dispersion limits”, Journal of Optical Society of America, vol. B 27, 2010.
  • [11] B. Macke and B. Ségard, „Comment on 'optical precursors in the singular and weak dispersion limits'”, Journal of Optical Society of America, vol. B 28, 2011.
  • [12] B. Macke and B. Ségard, „Optical precursors in transparent media”, Physical Review, vol. A : Atomic, Molecular and Optical Physics, 2009.
  • [13] J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, „Optical precursors with finite rise and fall time”, Journal of Optics, vol. 12, 2010.
  • [14] C. F. Li and G. C. G. Z. Q. Zhou, H. Jeong. (2011, Feb.) Directly observable speed of optical precursors. pdf:1102.4998v1. [Online]. Available: arxiv.org
  • [15] A. Ciarkowski, „On sommerfeld precursor in a lorentz medium”, Journal of Technical Physics, vol. 43, 2002.
  • [16] A. Ciarkowski, „Approximate representation for the brillouin precursor in a lorentz medium”, Kwartalnik Elektroniki i Telekomunikacji, vol. 48, 2002.
  • [17] A. Ciarkowski, „Propagation of the main signal in a dispersive lorentz medium”, Archives of Acoustics, vol. 27, 2002.
  • [18] A. Ciarkowski, „Dependence of the brillouin precursor form on the initial signal rise time”, Journal of Technical Physics, vol. 44, 2003.
  • [19] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions. National Bureau of Standards, Applied Mathematics, 1964.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWAK-0026-0002
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