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Light scattering in crystals

作者:G. Adomian, Randolph C. Rach · 发表于:Journal of Applied Physics · 年份:1984 · DOI:10.1063/1.334291 · 被引用次数:18 · 研究领域:Optical and Acousto-Optic Technologies、Glass properties and applications

The paper provides solution of the nonlinear partial differential equation ∇2p=k2 sinh p previously obtained by Plint and Breig [J. Appl. Phys. 35, 2745 (1964)] with the objective of confirmation of expected temperature dependence of scattering of light by certain crystals. The solution is of interest both for the experimental problem and as a solution of a nonlinear partial differential equation without customary linearizing assumptions. This is done using Adomian’s decomposition method [G. Adomian, Stochastic Systems (Academic, New York, 1983)]. This has been shown elsewhere in Adomian’s work and numerous following papers to provide a rapidly convergent series solution which is accurate and computable even if strong nonlinearities or stochastic behavior is involved.