The phase-space representation of the Fresnel–Fraunhofer diffraction of optical fields in any state of spatial coherence is based on the marginal power spectrum carried by the spatial coherence wavelets. Its structure is analyzed in terms of the classes of source pairs and the spot of the field, which is treated as the hologram of the map of classes. Negative values of the marginal power spectrum are interpreted as negative energies. The influence of the aperture edge on diffraction is stated in terms of the distortion of the supports of the complex degree of spatial coherence near it. Experimental results are presented.
© 2008 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: November 29, 2007
Revised Manuscript: March 13, 2008
Manuscript Accepted: March 20, 2008
Published: June 11, 2008
Román Castañeda and Juan Carrasquilla, "Spatial coherence wavelets and phase-space representation of diffraction," Appl. Opt. 47, E76-E87 (2008)