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Fractional Fourier transform for elliptical Gaussian beam in spatial-frequency domain

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The fractional Fourier transform (FRT) is applied to elliptical Gaussian beam (EGB) in spatial-frequency domain. An equivalent tensor ABCD law for the FRT of EGB is derived in terms of the tensor method. The connection between the FRT formula and the generalized Collins formula in spatial-frequency domain is discussed. The derived formulae provide a powerful tool for analyzing and calculating the FRT of EGB in spatial-frequency domain. An application example is provided.

Document Type: Research Article


Affiliations: Institute of Optics & State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, China

Publication date: February 1, 2004

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