Mode analysis in optics through fractional transforms

Tatiana Alieva and Martin J. Bastiaans

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 wavefront can be determined from its fractional Hankel transforms taken at the optical axis.

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http://www.opticsinfobase.org/abstract.cfm?URI=ol-24-17-1206


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