Chong C C, Vourdas A, Bendjaballah C
Department of Electrical Engineering and Electronics, The University of Liverpool, UK.
J Opt Soc Am A Opt Image Sci Vis. 2001 Oct;18(10):2478-85. doi: 10.1364/josaa.18.002478.
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.
研究了准周期布洛赫函数的分数傅里叶变换（FRFT）。利用实轴上平方可积函数与准周期布洛赫函数之间的同构关系，将先前关于前一类函数的分数傅里叶变换的工作扩展到后一类函数。讨论了准周期布洛赫函数的FRFT的性质，并给出了各种数值示例。
