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Healy, John J.
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Healy, John J.
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Healy, John J.
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- PublicationDigital computation of the complex linear canonical transform(Optical Society of America, 2011-07-01)
; ; ; ; ; An efficient algorithm for the accurate computation of the linear canonical transform with complex transform parameters and with complex output variable is presented. Sampling issues are discussed and the requirements for different cases given. Simulations are provided to validate the results.Scopus© Citations 11 594 - PublicationAdditional sampling criterion for the linear canonical transformThe linear canonical transform describes the effect of first-order quadratic phase optical systems on a wave field. Several recent papers have developed sampling rules for the numerical approximation of the transform. However, sampling an analog function according to existing rules will not generally permit the reconstruction of the analog linear canonical transform of that function from its samples. To achieve this, an additional sampling criterion has been developed for sampling both the input and the output wave fields.
Scopus© Citations 43 471