Phase-space approach to wave propagation with dispersion and damping

Patrick J. Loughlin; Leon Cohen

doi:10.1117/12.564249

26 October 2004 Phase-space approach to wave propagation with dispersion and damping

Patrick J. Loughlin, Leon Cohen

Proceedings Volume 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV; (2004) https://doi.org/10.1117/12.564249
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

We consider dispersive propagation with damping in phase-space, and derive the Wigner distribution in terms of the initial wave and the dispersion relation. The case for no damping, that is, lossless propagation, has been previously considered by Cohen, and is a special case of the more general result presented here. Simple and physically revealing approximations of the Wigner distribution in terms of the initial Wigner distribution are presented. Also, exact low-order conditional moments are given and their interpretation is discussed.

Citation Download Citation

Patrick J. Loughlin and Leon Cohen "Phase-space approach to wave propagation with dispersion and damping", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); https://doi.org/10.1117/12.564249

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