Consideration of Boundary Conditions in the Scattering of Laser Radiation by Rough Fractal Surfaces

O.O. Havryliuk; O.Yu. Semchuk

doi:10.15330/pcss.19.1.29-33

Authors

O.O. Havryliuk Chuiko Institute of Surface Chemistry NAS of Ukraine
O.Yu. Semchuk Chuiko Institute of Surface Chemistry NAS of Ukraine

DOI:

https://doi.org/10.15330/pcss.19.1.29-33

Keywords:

fractal surfaces, Weierstrass function, scattering indicatrix, laser radiation, boundary conditions

Abstract

The work within the scalar theory of Kirchhoff, solved the problem of scattering of laser light rough surface for the simulation which used two-dimensional modified Weierstrass function with a finite number of harmonics. Based on the analytical solution found numerically calculated scattering indicatrix laser fractal surfaces of several types for different angles of incidence and created a catalog of various specific types of scattering surfaces based on the Weierstrass function and the corresponding three-dimensional scattering indicatrix ln < rs > . It is shown that when scattering light by a surface of a fractal relief, the law of mirror reflection is violated, and the scattering image contains bursts of intensity in different directions.

References

[1] M. V. Berry, Z. V. Lewis, Proc.R.Soc. London A. 370, 459 (1980).

[2] N. Lin, H. P. Lee, S. P. Lim, K. S. Lee, J. Mod. Opt. 42(1), 225 (1995).

[3] A. A. Potapov, A. V. Laktiunkyn, Journal Nonlinear World. 6(1), 37 (2008).

[4] A. Kotopoulis, G. Pouraimis, E. Kallitsis, P. Frangos, International conference knowledge-based organization 23(3), 53 (2017).

[5] O. B. Novikova, Computer Research and Modeling 5(4), 583 (2013).

[6] A. Maksimov, E. Maksimova, V. Egorov, J. Phys.: Conf. Ser. 936, 012041 (2017).

[7] J. A. Ogirly, Theory of Wave Scattering from Random Rough Surfaces (Adam Hilger, New York, 1991).

[8] A. Isimaru, Propagation and scattering of waves in randomly inhomogeneous media (Mir, Moscow, 1981).

[9] O. Yu. Semchuk, M. Willander, Behaviour of Electromagnetic Waves in Different Media and Structures (InTech, Croatia, 2011).