<title>Ring interferometer with liquid crystal as a means of identification of a singular light</title>

Abstract

A modification of model describing optical structures forming in nonlinear ring interferometer (NRJ) containing liquid crystal having Kerr effect is suggested. Case of optical field which is turned through some angle in cross section plane of the laser beam (in feedback of the NRJ) is investigated. It is found that both screw dislocation order of the wavefront entering on the NRJ input and phase shift of the optical field in circuit of feedback ofthe NRT effects on optical forming process equally strongly. A theoretical analysis and simulations show any new possibilities ofNRJ applications: the identification of spiral dislocation order of an optical vortex (by shape of optical structures self-organizating in cross section plane of laser beam in NRI); the compensation of the optical vortex effect on evolution and result of the optical forming in NRI; basis of an arithmetic-logical optical device realizing addition operation.

Spatial deterministic chaos in optical systems and methods of its modeling

“…1a) allows one to investigate complex nonlinear optics phenomena. More generally, modeling is of interest from the viewpoint of studying temporal processes including dynamic chaos [1][2][3][4][5], spatiotemporal processes [1, 6,7], and especially spatial (that is, static) distributions of the dynamic variables in the system [7] including the spatial chaos.…”

“…Obviously, it has the properties of conventional differential equations (with continuous evolutionary variable) and of discrete map with discrete spatial coordinate. These mathematical structures are rightfully called discrete evolutionary maps [7]. Their more sophisticated analysis falls outside the scope of the present paper.…”

“…Systems in which spatial deterministic chaos occurs have not yet been adequately studied. Spatial deterministic chaos is promising for information security in nonlinear-dynamic systems of data transfer (in the static mode) and storage [7]. Notably, the static mode is preferred when the limiting factor is the communication channel capacity or encoded information is stored [7].…”

“…Spatial deterministic chaos is promising for information security in nonlinear-dynamic systems of data transfer (in the static mode) and storage [7]. Notably, the static mode is preferred when the limiting factor is the communication channel capacity or encoded information is stored [7].Judging by the literature published in the 2000s, the phenomenon of spatial deterministic chaos in radio physics and optics was not studied. The most promising mathematical apparatus for theoretical analysis of spatial deterministic chaos is discrete maps [8].…”