Electronic Resource
Springer
Applied mathematics & optimization
12 (1984), S. 97-114
ISSN:
1432-0606
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The parabolic or forward scattering approximation to the equation describing wave propagation in a random medium leads to a stochastic partial differential equation which has the form of a random Schrödinger equation. Existence, uniqueness and continuity of solutions to this equation are established. The resulting process is a Markov diffusion process on the unit sphere in complex Hilbert space. Using Markov methods a limiting Markov process is identified in the case of a narrow beam limit; this limiting process corresponds to a simple random translation of the beam known as “spot-dancing.”
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01449037
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