Starkov V.N., Tomchuk P.M.
Problems, methods, and algorithms in the models of physicalfundamentals of the elements of optical computers

This paper considers two variants of problems that arise in developing optical computers. The first variant is related to the mathematical analysis of problems of optical bistability in the case of multibeam interaction of laser radiation in nonlinear media. The existence of optical bistability is confirmed by the results of solving the boundary value problem for a system of nonlinear ordinary differential equations. In the general case of an arbitrary nonstationary process, the problem is reduced to solving a system of two nonlinear integral equations with respect to complex amplitudes describing interference patterns. The second variant of problems is devoted to studying the absorption and scattering of light by nanomaterials. As a result, a multidimensional integral equation was obtained for the complex amplitude of the electric field. A fundamentally important feature of this equation is its singularity inside a nanoparticle. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: bistability, integral equation, laser interaction, mathematical model, optical computer, Boundary value problems, Computers, Electric field effects, Integral equations, Mathematical models, Nonlinear optics, Optical bistability, Optical data processing, Ordinary differential equations, Absorption and scattering of light, Laser interaction, Mathematical analysis, Multidimensional integral equations, Nonlinear integral equations, Nonlinear ordinary differential equation, Nonstationary process, Optical computers, Nonlinear equations

Cite:
Starkov V.N., Tomchuk P.M. (2019). Problems, methods, and algorithms in the models of physicalfundamentals of the elements of optical computers. Cybernetics and Systems Analysis, 55 (1), 178-192. doi: https://doi.org/10.1007/s10559-019-00120-z http://jnas.nbuv.gov.ua/article/UJRN-0000947564 [In Russian].