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Scalar diffraction field calculation from curved surfaces via Gaussian beam decomposition

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Pages (from-to)1459-1469
Number of pages11
JournalJournal of the Optical Society of America A: Optics Image Science and Vision
Issue number7
Publication statusPublished - 1 Jul 2012
Publication typeA1 Journal article-refereed


We introduce a local signal decomposition method for the analysis of three-dimensional (3D) diffraction fields involving curved surfaces. We decompose a given field on a two-dimensional curved surface into a sum of properly shifted and modulated Gaussian-shaped elementary signals. Then we write the 3D diffraction field as a sum of Gaussian beams, each of which corresponds to a modulated Gaussian window function on the curved surface. The Gaussian beams are propagated according to a derived approximate expression that is based on the Rayleigh-Sommerfeld diffraction model. We assume that the given curved surface is smooth enough that the Gaussian window functions on it can be treated as written on planar patches. For the surfaces that satisfy this assumption, the simulation results show that the proposed method produces quite accurate 3D field solutions.