Problems, Methods, and Algorithms in Models of Physical Fundamentals of Elements of Optical Computers
- 8 Downloads
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.
Keywordsbistability optical computer mathematical model laser interaction integral equation
Unable to display preview. Download preview PDF.
- 1.D. Keysesent (ed.), Optical Processing of Information [Russian translation], Mir, Moscow (1980).Google Scholar
- 2.S. Ishihara, Optical Computers: New Era of Science [Russian translation], Nauka, Moscow (1992).Google Scholar
- 3.IBM Created an Optical Processor. URL: http://www.cybersecurity.ru/it/145951.html.
- 4.P. A. Belov, V. G. Bespalov, V. N. Vasilyev, S. A. Kozlov, A. V. Pavlov, K. R. Simovskii, and Yu. A. Shpolyanskii, Optical Processors: Achievements and Novel Ideas [in Russian], Problems of Coherent and Nonlinear Optics, ITMO, St. Petersburg (2006).Google Scholar
- 5.D. N. Kolesnichenko, Optical Processors Completely, Hacker Spets, No. 55, 13–25 (2006).Google Scholar
- 6.S. N. Koreshev, Holographic Optical Elements and Devices, ITMO, St. Petersburg (2008).Google Scholar
- 7.Startup with optical solver supercomputer targets 17 exaFLOPS by 2020. URL: https://www.nextbigfuture.com/2014/08/startup-with-optical-solver.html.
- 8.H. Gibbs, Optical Bistability: Controlling Light with Light [Russian translation], Mir, Moscow (1988).Google Scholar
- 9.N. V. Kukhtarev and S. G. Odulov, “Inversion of a wave front associated with a four-wave interaction in media with nonlocal nonlinearity,” JETP Letters, Vol. 30, No. 1, 6–11 (1979).Google Scholar
- 10.N. V. Kukhtarev and V. N. Starkov, “Optical bistability at reversing the wavefront reversing the wavefront of light beams in electro-optical crystals with diffusion nonlinearity,” Soviet Technical Physics Letters, Vol. 7, No. 11, 692–695 (1981).Google Scholar
- 11.V. N. Starkov, “On the multivaluedness of solving the problem of inversion of the wave front of laser beams in electro-optical crystals,” Computational Mathematics, No. 2, 41–42 (1982).Google Scholar
- 12.V. N. Starkov, Constructive Methods of Computational Physics in Interpretation Problems [in Russian], Naukova Dumka, Kyiv (2002).Google Scholar
- 14.N. V. Kukhtarev, “Self-consistent theory of volumetric dynamic holography,” Abstract of Doctoral Dissertation in Physical and Mathematical Sciences, Institute of Physics, Academy of Sciences of UkrSSR, Kiev (1983).Google Scholar
- 16.V. L. Vinetskii, N. V. Kukhtarev, T. I. Semenets, “Kinetics of dynamic self-diffraction of light beams in bulk media with local response,” Kvantovaya Elektronika, Vol. 8, No 1, 217–220 (1981).Google Scholar
- 17.B. Ya. Zel’dovich, P. B. Lerner, and E. A. Nemkova, “Non-stationary energy exchange of two coherent stern waves in a nonlinear medium,” Kvantovaya Elektronika, Vol. 14, No. 12, 2502–2508 (1987).Google Scholar
- 18.V. F. Shabanov and V. Ya. Zyryanov (eds.), Metamaterials and Structured Environment for Optoelectronics, Microwave Technology and Nanophotonics [in Russian], Publishing House of SB of RAS, Novosibirsk (2013).Google Scholar
- 19.V. V. Klimov, Nanoplasmonics [in Russian], Nauka, Moscow (2010).Google Scholar
- 20.E. F. Venger, A. V. Goncharenko, and M. L. Dmitruk, Optics of Small Particles and Disperse Media [in Ukrainian], Naukova Dumka, Kyiv (1999).Google Scholar
- 22.P. M. Tomchuk and B. P. Tomchuk, “Optical absorption of small metal particles,” Journal of Experimental and Theoretical Physics, Vol. 112, No. 2 (8), 661–678 (1997).Google Scholar