Phase-space projection identities for diffraction catastrophes
- 1 January 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (1) , 149-160
- https://doi.org/10.1088/0305-4470/13/1/016
Abstract
For each standard 'diffraction catastrophe' wavefunction psi , describing the interference pattern near a stable caustic, the authors derive two nonlinear identities. These relate the intensity mod psi mod 2 to an integral over the wavefunction psi corresponding to the same catastrophe, or to a less singular one. The identities are interpreted in terms of projections of Wigner functions from phase space on to coordinate space.Keywords
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