%0 Journal Article %A Alieva Krasheninnikova, Tatiana %A Bastiaans, Martin J. %T Mode analysis in optics through fractional transforms %D 1999 %@ 0146-9592 %U https://hdl.handle.net/20.500.14352/59383 %X 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. %~