Rigorous application of the stochastic functional method to plane-wave scattering from a random cylindrical surface

DOI10.1063/1.532766zbMath0941.35135OpenAlexW2083579872MaRDI QIDQ4701706

Dimitrios P. Chrissoulidis, Nikolaos C. Skaropoulos

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532766

zbMATH Keywords

approximate solutionsDirichlet boundary conditionWiener-Hermite expansionenergy consistencystochastic functional methodplane-wave scattering from a random cylindrical surface

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP) ⋮ Approximate solution of a mixed nonlinear stochastic oscillator

Cites Work

• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Multiple Wiener integral
• Scattering of waves from a random spherical surface—Mie scattering
• Scattering of a scalar wave from a slightly random surface
• Scattering of electromagnetic waves from a slightly random surface—reciprocal theorem, cross-polarization and backscattering enhancement
• Scattering of waves from a random cylindrical surface

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