2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 48 Number 6, June 2000

Table of Contents for this issue

Complete paper in PDF format

Pulsed-Beam Propagation in Dispersive Media via Pulsed Plane Wave Spectral Decomposition

Timor Melamed and Leopold B. Felsen Life Fellow, IEEE

Page 901.

Abstract:

This paper is concerned with the behavior of transient wavefields due to a pulsed-beam (PB) wavepacket launched obliquely from a hypothetical aperture plane in a medium with generic dispersion k(), where k and are wavenumber and frequency, respectively. This generalizes our previous investigation of a PB launched normally from the hypothetical aperture plane. The problem is solved through spectral decomposition into plane waves in the frequency () and spatial wavenumber ( ) domains,followed by asymptotics on the spectral inversion integrals, with synthesis performed before synthesis. Special attention in the transient spectral domain is given to paraxial PB approximations and to criteria for their range of validity, which are expressed in terms of critical nondimensional estimators that contain the beam parameters as well as the dispersion parameters of the medium. The resulting PB's can be used to synthesize transient wavefields excited by arbitrary space-time source distributions of finite support on a specified aperture plane in the medium.

References

  1. T. Melamed and L. B. Felsen, "Pulsed beam propagation in lossless dispersive media: Part I-Theory", J. Opt. Soc. Amer. A, vol. 15, pp.  1268-1276, 1998.
  2. T. Melamed and L. B. Felsen, "Pulsed beam propagation in lossless dispersive media: Part II-A numerical example", J. Opt. Soc. Amer. A, vol. 15, pp.  1277-1284, 1998.
  3. T. Melamed and L. B. Felsen, "Pulsed beam propagation in lossless dispersive media,"in Ultra-Wideband, Short-Pulse Electromagnetics, New York: Plenum, 1999.
  4. E. Heyman and T. Melamed, "Certain considerations in aperture synthesis of ultrawideband/short-pulse radiation", IEEE Trans. Antennas Propagat., vol. 42, pp.  518-525, Apr.  1994.
  5. B. Z. Steinberg, E. Heyman and L. B. Felsen, "Phase-space beam summation for time dependent radiation from large apertures: Continuous parametrization", J. Opt. Soc. Amer. A, vol. 8, pp.  943-958, 1991.
  6. T. Melamed, "Phase-space beam summation: A local spectrum analysis for time-dependent radiation", J. Electromagn. Waves Applicat., vol. 11, pp.  739-773, 1997.
  7. E. Heyman, "Pulsed beam propagation in an inhomogeneous medium", IEEE Trans. Antennas Propagat., vol. 42, pp.  311-319, Mar.  1994.
  8. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Piscataway, NJ: IEEE Press, 1994.