Abstract
Through the optimization of the main interval of the fractional order, an improved fast algorithm for numerical calculation of the fractional Fourier transforms is proposed. With this improved algorithm, the fractional Fourier transforms of a rectangular function and a Gaussian function are calculated. Its calculation errors are compared with those calculated with the previously published algorithm, and the results show that the calculation accuracy of the improved algorithm is much higher.
© 2004 Optical Society of America
Full Article | PDF ArticleMore Like This
Francisco J. Marinho and Luı́s M. Bernardo
J. Opt. Soc. Am. A 15(8) 2111-2116 (1998)
Kedar Khare and Nicholas George
J. Opt. Soc. Am. A 21(7) 1179-1185 (2004)
Soo-Chang Pei and Min-Hung Yeh
Opt. Lett. 22(14) 1047-1049 (1997)