The expansion of an optical signal into a discrete set of Gaussian beams

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Abstract

It is shown how an optical signal can be expanded in Gaussian beams. The expansion is essentially the one suggested by Gabor in 1946, when he proposed to expand a signal into a discrete set of properly shifted and modulated Gaussian elementary signals; determining the expansion coefficients, however, seemed difficult, since the set of Gaussian elementary signals is not orthogonal. A set of functions is described, which is bi-orthonormal to the set of Gaussian elementary signals; this bi-orthonormality property allows an easy determination of the expansion coefficients.
Original languageEnglish
Pages (from-to)95-102
Number of pages8
JournalOptik : International Journal for Light and Electron Optics
Volume57
Issue number1
Publication statusPublished - 1980

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