Using the entangled-state method in quantum mechanics, we find that the eigenmodes of the fractional Hankel transform are two-variable Hermite–Gaussian functions that can be rewritten in a clearer form as Laguerre polynominals.
© 2003 Optical Society of America
(070.4690) Fourier optics and signal processing : Morphological transformations
Hong-Yi Fan and Hai-Liang Lu, "Eigenmodes of fractional Hankel transform derived by the entangled-state method," Opt. Lett. 28, 680-682 (2003)