Wigner-Ville distribution for pulse propagation in random media: Pulsed plane wave

Jasmin Oz*, Ehud Heyman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The time - frequency Wigner - Ville distribution for a pulsed plane-wave signal propagating in a continuous random medium is found, based on the previously derived modal series expression for the two-frequency coherence function. The theory can address propagation in any homogeneous isotropic random medium, but closed-form expressions are specifically derived for a general power-law medium. Two alternative formulations are presented: a modal-wavefront approach wherein each mode is asymptotically transformed to the time domain and a collective approach wherein the mode series is summed collectively and then transformed to the time domain using pole contributions. The physical interpretation of these two different representations in the time-frequency domain as either a superposition of localized wavefronts or collective excitations is established, and their applications to the calculation of local moments are considered.

Original languageEnglish
Pages (from-to)175-191
Number of pages17
JournalWaves in Random and Complex Media
Volume8
Issue number2
DOIs
StatePublished - 1998

Funding

FundersFunder number
Air Force Office of Scientific Research96-1-0039
United States-Israel Binational Science Foundation95-00399

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