Abstract
The parabolic or forward scattering approximation has been used extensively in the study of wave propagation. This approximation is combined with a Gaussian white noise approximation for waves propagating in a random medium. The validity of this approximation is proved for stratified weakly fluctuating random media in the high-frequencies regime. The limiting distribution of the wave field is characterized as the unique solution of a random Schrödinger equation studied by Dawson and Papanicolaou [Appl. Math. Optim., 12 (1984), pp. 97–114]. The proofs are based on various generalizations of the perturbed test function method developed by Kushner [Approximation and Weak Convergence Methods for Random Processes, MIT Press, 1984].
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 callDisclaimer: 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.
