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.
© 2001 Optical Society of America
Full Article | PDF ArticleMore Like This
R. Simon and Kurt Bernardo Wolf
J. Opt. Soc. Am. A 17(12) 2368-2381 (2000)
Soo-Chang Pei and Jian-Jiun Ding
J. Opt. Soc. Am. A 17(12) 2355-2367 (2000)
Hong-Yi Fan, Li-yun Hu, and Ji-suo Wang
J. Opt. Soc. Am. A 25(4) 974-978 (2008)