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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 6 — Jun. 1, 2005
  • pp: 1208–1215

Local spectrum analysis of field propagation in an anisotropic medium. Part II. Time-dependent fields

Igor Tinkelman and Timor Melamed  »View Author Affiliations

JOSA A, Vol. 22, Issue 6, pp. 1208-1215 (2005)

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In Part I of this two-part investigation [J. Opt. Soc. Am. A 22, 1200 (2005)], we presented a theory for phase-space propagation of time-harmonic electromagnetic fields in an anisotropic medium characterized by a generic wave-number profile. In this Part II, these investigations are extended to transient fields, setting a general analytical framework for local analysis and modeling of radiation from time-dependent extended-source distributions. In this formulation the field is expressed as a superposition of pulsed-beam propagators that emanate from all space–time points in the source domain and in all directions. Using time-dependent quadratic-Lorentzian windows, we represent the field by a phase-space spectral distribution in which the propagating elements are pulsed beams, which are formulated by a transient plane-wave spectrum over the extended-source plane. By applying saddle-point asymptotics, we extract the beam phenomenology in the anisotropic environment resulting from short-pulsed processing. Finally, the general results are applied to the special case of uniaxial crystal and compared with a reference solution.

© 2005 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(350.5500) Other areas of optics : Propagation

Original Manuscript: December 21, 2004
Published: June 1, 2005

Igor Tinkelman and Timor Melamed, "Local spectrum analysis of field propagation in an anisotropic medium. Part II. Time-dependent fields," J. Opt. Soc. Am. A 22, 1208-1215 (2005)

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  1. I. Tinkelman, T. Melamed, “Local spectrum analysis of field propagation in anisotropic media. Part I. Time-harmonic fields,” J. Opt. Soc. Am. A, 22, 1200–1207 (2005). [CrossRef]
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