Spherical angular spectrum and the fractional order Fourier transform

Pierre Pellat-Finet (1) , Pierre-Emmanuel Durand , Eric Fogret (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

The notion of a spherical angular spectrum leads to the decomposition of the field amplitude on a spherical emitter into a sum of spherical waves that converge onto the Fourier sphere of the emitter. Unlike the usual angular spectrum, the spherical angular spectrum is propagated as the field amplitude, in a way that can be expressed by a fractional order Fourier transform.

Domaines: Optique [physics.optics]

Pierre Pellat-Finet, Pierre-Emmanuel Durand, Eric Fogret. Spherical angular spectrum and the fractional order Fourier transform. Optics Letters, 2006, 31 (23), pp.3429-3431. ⟨hal-00907972⟩