Abstract
The angular spectrum of plane-waves representation of a pulsed electromagnetic beam field propagating in a dispersive, attenuative medium occupying the half-space expresses that wave field as a superposition of both homogeneous and inhomogeneous plane waves. A generalization of the Sherman expansion for source-free wave fields in lossless media to the lossy, dispersive medium case is used to derive a spatial series representation of a pulsed, source-free electromagnetic beam field from its angular spectrum representation. This spatial series representation displays the temporal evolution of the pulsed beam field explicitly through a single-contour integral that is of the same form as that obtained in the Fourier-Laplace description of a pulsed plane-wave field that is propagating in the positive z-direction in the lossy, dispersive medium. The temporal pulse evolution is found to depend upon the transverse spatial position in the beam field through the derivatives of the field boundary values.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Pure and Applied Optics: Journal of the European Optical Society Part A
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
