Cybernetics and Systems Analysis

, Volume 55, Issue 1, pp 153–166 | Cite as

Problems, Methods, and Algorithms in Models of Physical Fundamentals of Elements of Optical Computers

  • V. N. StarkovEmail author
  • P. M. Tomchuk


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.


bistability optical computer mathematical model laser interaction integral equation 


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Authors and Affiliations

  1. 1.Institute of Physics, National Academy of Sciences of UkraineKyivUkraine

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