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On Sommerfeld precursor in a Lorentz medium

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A one-dimensional electromagnetic problem of Sommerfeld precursor evolution, resulting from a finite rise-time signal excitation in a dispersive Lorentz medium is considered. The effect of the initial signal rate of growth as well as of the medium dumping on the precursor shape and its magnitude is discussed. The analysis applied is based on an approach employing uniform asymptotic expansions. In addition, new approximate formulas are given for the location of the distant saddle points which affect local frequency and dumping of the precursor. The results obtained are illustrated numerically and compared with the results known from the literature.
Rocznik
Strony
187--203
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland, aciark@ippt.gov.pl
Bibliografia
  • 1. A. Sommerfeld, Uber die Fortpflanzung des Lichtes in disperdierenden Medien, Ann. Phys., 44, 177-202, Lepzig 1914.
  • 2. L. Brillouin, Uber die Fortpflanzung des Lichtes in disperdierenden Medien, Ann. Phys., 44, 203-240, Lepzig 1914.
  • 3. L. Brillouin, Wave propagation and group velocity, Academic, New York 1960.
  • 4. R.A. Handelsman, N. Bleistein, Uniform asymptotic expansions of integrals that arise in the analysis of precursors, Arch. Rat. Mech. Anal., 35, 267-283, 1969.
  • 5. K.E. Oughstun, G.C. Sherman, Electromagnetic pulse propagation in causal dielectrics, vol. 16, Springer, Berlin 1997.
  • 6. M. Kelbert, I. Sazonov, Pulses and other wave processes in fluids, Kluwer 1996.
  • 7. S.L. Dvorak, R.W. Ziółkowski, L.B. Felsen, Hybrid analytical-numerical approach for modelling transient wave propagation in Lorentz media, J. Opt. Soc. Am. A15, 1241-1255, 1995.
  • 8. A. Ciarkowski, Asymptotic analysis of propagation of a signal with finite rise-time in a dispersive, lossy medium, Arch. Mech., 49, 877-892, 1997.
  • 9. M. Abramowitz, I.A. Stegun, Handbook of mathematical functions, National Bureau of Standards, Applied Mathematics Series-55, 1964.
  • 10. N. Bleistein, R.A. Handelsman, Asymptotic expansions of integrals Holt, Rinehart and Winston, Ch. 9, 1975.
  • 11. A. Ciarkowski, Uniform asymptotic expansion of an integral with a saddle point, a pole and a branch point, Proc. R. Soc. Lond., A 426, 273-286, 1989.
  • 12. A. Ciarkowski, Improved representation for the first precursor in the Lorentz medium, Eng. Trans., 48, 43-59, 2000.
  • 13. S. Rikte, Existence, uniqueness, and causality theorems for wave propagation in stratified, temporally dispersive, complex media, SIAM J. Appl. Math., 57, 1373-1389, 1997.
  • 14. S. He, S. Ström, V.H. Weston, Time domain wave-splittings and inverse problems, Oxford University Press, 1998.
  • 15. J.D. Jackson, Classical electrodynamics, John Wiley and Sons, Inc., 1975.
  • 16. A. Ciarkowski, Frequency dependence on space-time for electromagnetic propagation in dispersive medium, Arch. Mech., 51, 33-46, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0001-0095
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