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Fractional Fourier transform for quasi-periodic Bloch functions
C C Chong1, A Vourdas, C Bendjaballah
1Department of Electrical Engineering and Electronics, The University of Liverpool, UK.
Abstract:
The fractional Fourier transform (FRFT) for quasi-periodic Bloch functions is studied. An isomorphism between square-integrable functions on the real line and quasi-periodic Bloch functions is used to extend existing work on the fractional Fourier transform for the former functions to the latter. The properties of the FRFT for quasi-periodic Bloch functions are discussed, and various numerical examples are presented.