PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Dependence of the Brillouin precursor form on the initial signal rise-time

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Propagation of a Brillouin precursor in a Lorentz dispersive medium is considered. The precursor is excited by a sine-modulated initial signal, with its envelope described by a hyperbolic tangent function. The purpose of the paper is to show how the rate of growth of the signal affects the form of the Brillouin precursor. Uniform asymptotic approach, pertinent to coalescing saddle points, is applied in the analysis. The results are illustrated with numerical examples.
Rocznik
Strony
181--192
Opis fizyczny
Bibliogr. 12 poz., rys., wykr.
Twórcy
  • Institute of Fundamental Technological Research Polish Academy of Sciences Świętokrzyska 21, 00-049 Warsaw, Poland, aciark@ippt.gov.pl
Bibliografia
  • 1. A. SOMMERFELD, Uber die Fortpflanzung des Lichtes in disperdierenden Medien, Ann. Phys., Lepzig, 44, 177-202, 1914.
  • 2. L. BRILLOUIN, Uber die Fortpflanzung des Lichtes in disperdierenden Medien, Ann. Phys., Lepzig, 44, 203-240, 1914.
  • 3. L. BRILLOUIN, Wave propagation and group velocity, Academic, New York 1960.
  • 4. M. KELBERT, I. SAZONOV, Pulses and other wave processes in fluids, Kluwer, 1996.
  • 5. K. E. OUGHSTUN, G. C. SHERMAN, Electromagnetic pulse propagation in causal dielectrics, Springer, 16, Berlin 1997.
  • 6. A. CIARKOWSKI, Asymptotic analysis of propagation of a signal with finite rise-time in a dispersive, lossy medium, Arch. Mech., 49, 877-892, 1997.
  • 7. I. M. RHYZHIK, I. S. GRADSHTEYN, Tables of integrals, sums, series and products [in Russian], 3-rd Ed., National Publishers of the Technical Literature, Sec. 6.39, Moscow 1951.
  • 8. C. CHESTER, B. FRIEDMAN, F. URSELL, An extension of the method of steepest descents, Proc. of Cambridge Phil. Soc., 53, 599-611, 1957.
  • 9. L. B. FELSEN, N. MARCUVITZ, Radiation and scattering of waves, Prentice Hall, Ch. 4, 1973.
  • 10. N. BLEISTEIN, R. A. HANDELSMAN, Asymptotic expansions of integrals, Holt, Rinehart and Winston, Ch. 9, 1975.
  • 11. A. CIARKOWSKI, Approximate representation for the Brillouin precursor in a Lorentz medium, To appear in Electronics and Telecommunication Quarterly, 48, 487-498, 2002.
  • 12. S. WOLFRAM, The Mathematica Book, 3-rd Ed., Cambridge University Press, Cambridge 1966.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0002-0041
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.