Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-20T04:46:21.336Z Has data issue: false hasContentIssue false
  • English
  • Français

Electromagnetic pulses in Maxwell-Hopkinson dielectrics

Published online by Cambridge University Press:  15 January 2000

P. Hillion
P. Hillion*
Affiliation:
Institut Henri Poincaré, 86 bis Route de Croissy, 78110 Le Vésinet, France
*
[email protected]
Get access

Abstract

A pulse is solution of a boundary-initial value problem for the wave equation.We investigate the propagation in the z-direction of a Maxwell-Hopkinson dielectric of three kinds of pulses launched from the z = 0 plane at some time: harmonic plane wave, Bessel wave, distortion-free progressing wave. We prove that at high frequency, and as soon as the transient state has died out, these pulses propagate with an exponential attenuation factor in the direction of propagation.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 9 , Issue 1 , January 2000 , pp. 29 - 35
Copyright
© EDP Sciences, 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Sommerfeld, A., Ann. Phys. Lpz. 44, 177 (1914). CrossRef
Brillouin, L., Ann. Phys. Lpz. 44, 203 (1914). CrossRef
K.E. Oughstun, G.C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics (Springer Verlag, 1977).
J.A. Stratton, Electromagnetic Theory (Mac Graw Hill, 1941).
Hopkinson, J., Phil. Trans. Roy. Soc. London 167, 599 (1877). CrossRef
Davis, P., J. Differ. Equations 18, 170 (1975). CrossRef
F.W.J. Olver, Asymptotics and Special Functions (Academic Press, 1974).
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, 1968).
R. Courant, D. Hilbert, Methods in Mathematical Physics (Interscience, 1962), Vol. 2.
Hillion, P., J. Math. Phys. 31, 1939 (1990). CrossRef
Hillion, P., J. Math. Phys. 31, 3085 (1990). CrossRef
Borisov, V.V., Utkins, A., Can. J. Phys. 72, 647 (1994). CrossRef
G. Doetsch, Guide to the Application of the Laplace Transform (Van Nostrand, 1971).
B. Van der Pol, H. Bremmer, Operational Calculus (Cambridge University Press, 1969).
A. Erdelyi, Tables of Integral Transforms (Mac Graw Hill, 1957), Vol. 1.
Brinttingham, J.N., J. Appl. Phys. 54, 1179 (1983). CrossRef
Kiselev, A.P., Radiophys. Quantum Electron. 26, 1014 (1983). CrossRef
H. Bremermann, Distributions, Complex Variables and Fourier Transform (Addison Wesley, 1965).
I.M. Guelfand, G.E. Chilov, Les distributions (Dunod, 1962).
Hernandez, J.E., Ziolkowski, R.W., Parker, S.R., J. Acoust. Soc. Am. 92, 550 (1992). CrossRef
Ziolkowski, R.W., Lewis, D.B., Cook, B., Phys. Rev. Lett. 68, 147 (1989). APS Link not valid for this citation CrossRef