The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre–Gauss spectrum of a rotationally symmetric wave front can be determined from the wave front’s fractional Hankel transforms taken at the optical axis.
© 1999 Optical Society of America
Tatiana Alieva and Martin J. Bastiaans, "Mode analysis in optics through fractional transforms," Opt. Lett. 24, 1206-1208 (1999)