Title :
Pulsed beam propagation in plane stratified media: Asymptotically exact solutions
Author :
Kaganovsky, Y. ; Heyman, E.
Author_Institution :
Dept. of Phys. Electron., Tel-Aviv Univ., Tel-Aviv, Israel
Abstract :
Closed form solutions for pulsed beam (PB) propagation in general inhomogeneous media can be obtained via paraxial wave tracking along the curved propagation trajectories. As a test bed to validate these solutions, we derive here an asymptotically exact solution for a PB in a general plane stratified medium. Such a solution can be derived via the complex source (CS) approach, but this requires an extension of the inhomogeneous wave-speed to the complex coordinates space. To circumvent this difficulty, we use a generalized plane-wave representation in which the CS field is used as the initial condition in the aperture plane. The spectral integral for the 3D PB field is then evaluated via the spectral theory of transients (STT) which expresses the field as a spectral integral of transient plane-waves that can be contracted to a simple and compact 1D integral.
Keywords :
electromagnetic wave propagation; curved propagation trajectory; inhomogeneous media; paraxial wave tracking; pulsed beam propagation; spectral integral; spectral theory of transient; Approximation methods; Mathematical model; Nonhomogeneous media; Propagation; Trajectory; Transient analysis; Turning;
Conference_Titel :
Electromagnetic Theory (EMTS), 2010 URSI International Symposium on
Conference_Location :
Berlin
Print_ISBN :
978-1-4244-5155-5
Electronic_ISBN :
978-1-4244-5154-8
DOI :
10.1109/URSI-EMTS.2010.5637209