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ISSN 2071-0194   Ukr. J. Phys. 2015, Vol. 60, N 7, p.601-613
doi:10.15407/ujpe60.07.0601   Paper

Starkov V.N., Brodyn M.S., Tomchuk P.M., Gayvoronsky V.Ya., Boyarchuk A.Yu.

Institute of Physics, Nat. Acad. of Sci. of Ukraine
(46, Prosp. Nauky, Kyiv 03680, Ukraine; e-mail: nikol12@voliacable.com)

Mathematical Interpretation of Experimental Research Results on Nonlinear Optical Material Properties

Section: Optics, Lasers, and Quantum Electronics
Language: English

Abstract: The problem of mathematical interpretation of experimental research results concerning the influence of incorporated TiO2 nanoparticles on the optical properties of the nonlinear optical material potassium dihydrogen phosphate has been formulated and solved, by using the computational physics methods. The mathematical model is reduced to a Fredholm integral equation of the first kind. A spline-iteration modification of the Landweber regularization method is suggested for solving the ill-posed problem. The results of computational experiments are compared with those of physical ones.

Key words:incorporated TiO2 nanoparticles, nonlinear optical material potassium dihydrogen phosphate, Fredholm integral equation, Landweber regularization method.