Abstract

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

Local spectrum analysis of field propagation in an anisotropic medium. Part I. Time-harmonic fields

Igor Tinkelman and Timor Melamed
J. Opt. Soc. Am. A 22(6) 1200-1207 (2005)

Gaussian-beam propagation in generic anisotropic wave-number profiles

Igor Tinkelman and Timor Melamed
Opt. Lett. 28(13) 1081-1083 (2003)

Pulsed-beam propagation in lossless dispersive media. I. Theory

Timor Melamed and Leopold B. Felsen
J. Opt. Soc. Am. A 15(5) 1268-1276 (1998)

Phase-space beam summation for time-dependent radiation from large apertures: continuous parameterization

B. Z. Steinberg, Ehud Heyman, and L. B. Felsen
J. Opt. Soc. Am. A 8(6) 943-958 (1991)

Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics

Ehud Heyman and Leopold B. Felsen
J. Opt. Soc. Am. A 18(7) 1588-1611 (2001)