Paper
18 January 2018 On important precursor of singular optics (tutorial)
Peter V. Polyanskii, Christina V. Felde, Halina V. Bogatyryova, Alexey V. Konovchuk
Author Affiliations +
Proceedings Volume 10612, Thirteenth International Conference on Correlation Optics; 1061209 (2018) https://doi.org/10.1117/12.2304700
Event: Thirteenth International Conference on Correlation Optics, 2017, Chernivtsi, Ukraine
Abstract
The rise of singular optics is usually associated with the seminal paper by J. F. Nye and M. V. Berry [Proc. R. Soc. Lond. A, 336, 165-189 (1974)]. Intense development of this area of modern photonics has started since the early eighties of the XX century due to invention of the interfrence technique for detection and diagnostics of phase singularities, such as optical vortices in complex speckle-structured light fields. The next powerful incentive for formation of singular optics into separate area of the science on light was connectected with discovering of very practical technique for creation of singular optical beams of various kinds on the base of computer-generated holograms. In the eghties and ninetieth of the XX century, singular optics evolved, almost entirely, under the approximation of complete coherency of light field. Only at the threshold of the XXI century, it has been comprehended that the singular-optics approaches can be fruitfully expanded onto partially spatially coherent, partially polarized and polychromatic light fields supporting singularities of new kinds, that has been resulted in establishing of correlation singular optics. Here we show that correlation singular optics has much deeper roots, ascending to "pre-singular" and even pre-laser epoch and associated with the concept of partial coherence and polarization. It is remarcable that correlation singular optics in its present interpretation has forestalled the standard coherent singular optics. This paper is timed to the sixtieth anniversary of the most profound precursor of modern correlation singular optics [J. Opt. Soc. Am., 47, 895-902 (1957)].
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Peter V. Polyanskii, Christina V. Felde, Halina V. Bogatyryova, and Alexey V. Konovchuk "On important precursor of singular optics (tutorial)", Proc. SPIE 10612, Thirteenth International Conference on Correlation Optics, 1061209 (18 January 2018); https://doi.org/10.1117/12.2304700
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KEYWORDS
Singular optics

Spatial coherence

Bessel functions

Interferometers

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