title: Second-order fractional Fourier transform with incoherent radiation.
abstract: Based on the coherent optical theory, we extend the fractional Fourier transform of first-order correlation to a fractional Fourier transform of second-order correlation. An optical system for implementing a second-order fractional Fourier transform was designed. As a numerical example, we investigate the second-order fractional Fourier transform for a single slit.
authors.affiliation: Department of Physics, Hong Kong Baptist University, Hong Kong, China, and Institute of Optics, Department of Physics, ZheJiang University, Hangzhou, 310027, China. cyj@zju.edu.cn
authors.forename: Yangjian
authors.initials: Y
authors.lastname: Cai
authors.forename: Shi-Yao
authors.initials: SY
authors.lastname: Zhu