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 language | English |
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Pages (from-to) | 95-102 |
Number of pages | 8 |
Journal | Optik : International Journal for Light and Electron Optics |
Volume | 57 |
Issue number | 1 |
Publication status | Published - 1980 |