Mathematical and computational modeling of the diffraction problems by discrete singularities method

Journal Article · Wed Nov 12 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4902264· OSTI ID:22390598

Nesvit, K. V. ^[1]

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1. Department of Mathematical Physics and Computational Mathematics, Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61077 (Ukraine)

The main objective of this study is reduced the boundary-value problems of scattering and diffraction waves on plane-parallel structures to the singular or hypersingular integral equations. For these cases we use a method of the parametric representations of the integral and pseudo-differential operators. Numerical results of the model scattering problems on periodic and boundary gratings and also on the gratings above a flat screen reflector are presented in this paper.

• OSTI ID: 22390598
• Journal Information: AIP Conference Proceedings, Vol. 1629, Issue 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY-VALUE PROBLEMS
DIFFRACTION
DIFFRACTION GRATINGS
INTEGRAL EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUMERICAL ANALYSIS
PERIODICITY
SINGULARITY