Mathematical modeling of interaction of H-polarized electromagnetic wave with a system of thin penetrable inclusions
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 77, Issue 1
Abstract
Using the method of integral equations the mathematical model of interwork between the electromagnetic field of H-polarized plane wave and the system of thin dielectric or little conducting cylindrical embedding has been built. For its building the system of two-dimensional integral equations defined on the basis transverse section diffusers was taken. The direct implementation of the available methods for their numerous solving faces numerical difficulties caused by the little thickness of diffuser and are connected with calculus of singular and quasisingular two-dimensional integrals. Taking into consideration the fact that inside the diffuser the field changes its thickness unsufficeintly the mathematical model of interwork between the electromagnetic field of H-polarized plane wave with the system of thin dielectric cylindrical inclusions in the form of the system of integrodifferential singular integral equations defined on the centre line of the diffusers transverse section has been proposed. They were obtained by averaging of the system of integral equations defined the diffusers transverse section area. Using the quadrature formula of interpolatory type by the crosspoints which coincide with the Chebyshev polynomial, roots the numerical realization of mathematical model is redused to the solving of the system of linear algebraic equations. To test the proposed mathematical model the case of whole and cross-cut plate and half-ring shape has been proposed. The research of the influence of the distance between the two parts of infusions and the direction of plane wave propagation on the field in the far-field zone was conducted. The built mathematical model allows conducting research of the field scattered characteristics scattered by the arbitrarily-spaced cylindrical open coverings, the maximum thickness of which is considerably less than the length, the latter being considerably bigger or the same as the length of the explorative electromagnetic wave.
Authors and Affiliations
Zinoviy Nazarchuk, Yaroslav Kulynych, Taras Stadnik
Keywords
Related Articles
- EP ID EP571974
- DOI -
- Views 73
- Downloads 0
Evaluation of fire resistance of structural elements considering nonlinearity of deformation processes during fire
A mathematical model for quantitative description of thermomechanical processes in structural elements under fire was proposed, with taking into account an elastic-plastic deformation and temperature dependence of materi...
Mathematical simulation of oil displacement in heterogeneous reservoirs taking into account the influence of capillary forces
Numerical methods of complex analysis study of nonlinear processes of fluid displacement is generalized in the case of heterogeneous oil and gas reservoirs and with the consideration of the influence of capillary forces...
Determination of mechanical properties of steel 15Kh2NMFA using instrumented indentation results
The algorithm of reproduction of the deformation curve for the tensile test specimens using the contact deformation diagram parameters has been devised. The mechanical characteristics of steel 15Kh2NMFA have been determi...
The method of dynamic stresses determination of media with tunnel cavities
The method of studying the dynamic stress state of elastic media with tunnel cavities under the non-stationary load as the system of concentrated forces, which are applied in the internal points of media, is developed. O...
Set-theoretic model of the information state of the industrial cyber- physical system
The article presents the results of the study, which made it possible to define the concept of sensory, sensory-hardware, sensory-functional and sensory-software infrastructures of the cyber-physical system and formulate...