The asymptotic description of the coupled spatial and temporal evolution of a pulsed ultrawideband electromagnetic beam field as it propagates through a dispersive, attenuative material that occupies the half-space z≥z<sub>0</sub> is obtained from the angular spectrum of plane waves representation. This angular-spectrum representation expresses the wave field as a superposition of both homogeneous and inhomogeneous plane waves. The paraxial approximation of the spatial part of this representation for nontruncated beam fields results in a description that explicitly displays the temporal evolution of the pulsed-beam field through a single-contour integral that is of the same form as that obtained for a pulsed plane-wave field propagating in the positive <i>z</i> direction in a lossy, dispersive medium. The accuracy of this paraxial approximation is shown to improve as the material’s attenuation increases.
© 2001 Optical Society of America
Kurt Edmund Oughstun, "Asymptotic description of pulsed ultrawideband electromagnetic beam field propagation in dispersive, attenuative media," J. Opt. Soc. Am. A 18, 1704-1713 (2001)