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 AmericaFull Article | PDF Article
Timor Melamed and Leopold B. Felsen
J. Opt. Soc. Am. A 15(5) 1268-1276 (1998)
Ehud Heyman and L. B. Felsen
J. Opt. Soc. Am. A 6(6) 806-817 (1989)
B. Z. Steinberg, L. B. Felsen, and E. Heyman
J. Opt. Soc. Am. A 8(1) 41-59 (1991)