Numerical solution of electrodynamics boundary problem for conducting surface–dielectric body system

Fedor F. Dubrovka; A. V. Tolkachev

doi:10.3103/S0735272710110014

Authors

Fedor F. Dubrovka National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Ukraine https://orcid.org/0000-0002-3485-6822
A. V. Tolkachev National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine https://orcid.org/0000-0002-4835-0507

DOI:

https://doi.org/10.3103/S0735272710110014

Keywords:

numerical solution of electrodynamics boundary, input impedance, dielectric body

Abstract

A development of method [1] for numerical solution of electrodynamics boundary problem with arbitrary conducting surfaces in case of presence of arbitrary dielectric bodies is presented. Consideration of dielectric bodies is accomplished by means of introducing additional terms with unknown polarization current into the system of integral equations, as well as using parametric mapping technique for representing a curvilinear dielectric body and the Galerkin method with boundary and finite elements. Volume polarization current inside the dielectric body is represented in the form of curvilinear finite elements with piecewise constant base functions. Parametric description of curvilinear generalized hexahedron’s geometry for representing a wide class of dielectric bodies is developed. The method and the software that implements it are tested by calculating input impedance of surface radiators with flat and curvilinear structures equipped with finite sized dielectric substrate in the frequency band with 10:1 ratio between upper and lower frequencies. It is demonstrated that calculated using this method dependencies of input impedance on frequency and values of substrate’s dielectric permittivity correlate well with referred results obtained using the well-known HFSS and CST Microwave Studio software.

References

F. F. Dubrovka and A. V. Tolkachev, “An Effective Method of Numerical Solution of a Boundary Electrodynamics Problem for Arbitrary Conducting Surfaces,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 52(11), 3 (2009) [Radioelectron. Commun. Syst. 52(11), 573 (2009)].

R. Mittra, Computer Techniques for Electromagnetics (Pergamon Press, Oxford–New York–Toronto–Sydney–Braunschweig, 1973; Mir, Moscow, 1977).

J. Van Bladel, Electromagnetic Fields, 2nd ed. (IEEE Press, 2007).

T. K. Sarkar and E. Arvas, “An integral equation approach to the analysis of finite microstrip antennas: volume/surface formulation,” IEEE Trans. Antennas Propag. 38, No. 3, 305 (1990).

J. Van Bladel, “Some remarks on Green’s dyadic for infinite space,” IRE Trans. Antennas Propag., No. 9, 563 (November 1961).

A. F. Bermant, Mapping. Curvilinear coordinates. Transforms. Green Formulas (GIFML, Moscow, 1958) [in Russian].

T. K. Sarkar, “Electromagnetic scattering from dielectric bodies,” IEEE Trans. Antennas Propag. 37, No. 5, 673 (1989).

C. Lee, Basics of CAD (CAD/CAM/CAE) (Piter, St. Petersburg, 2004) [in Russian].

A. A. Kucharski, “A method of moment solution for electromagnetic scattering by inhomogeneous dielectric bodies of revolution,” IEEE Trans. Antennas Propag. 48, No. 8, 1202 (2000).