Paper
26 September 2016 Spatial attributes of diffraction free fields
J. Munoz-Lopez, G. Martinez-Niconoff, P. Martinez-Vara, S. I. De los Santos G., M. A. Torres-Rodrìguez
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Abstract
Optical diffraction fields have a not easy spatial structure, some times optical diffraction fields can generate a focusing region or caustic region, in this contribution, we describe the focusing region associated with highly symmetric transmittances, we analyze its associated phase function and show that generic features can be studied from a differential equation for a focusing geometry, which is obtained through angular representation for diffraction fields, the diffraction field presents focusing region whose geometry and spatial evolution can be described with the analysis of the phase singularities avoiding the integral representation. We show that in general the diffracted field has a decomposition in optical fields propagating along three optical axis mutually perpendicular. The decomposition is in terms of the Pearcey and Airy functions and generalized Airy function. Experimental results are shown.
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J. Munoz-Lopez, G. Martinez-Niconoff, P. Martinez-Vara, S. I. De los Santos G., and M. A. Torres-Rodrìguez "Spatial attributes of diffraction free fields", Proc. SPIE 9961, Reflection, Scattering, and Diffraction from Surfaces V, 99610Z (26 September 2016); https://doi.org/10.1117/12.2237478
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KEYWORDS
Transmittance

Diffraction

Shape analysis

Geometrical optics

Superposition

Associative arrays

Current controlled current source

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