A new approach to analysis of curvilinear conducting surface radiators
DOI:
https://doi.org/10.1109/ICATT.2009.4435108Keywords:
boundary value problem, integral equation, numerical solution, Galerkin’s method, parametric surface, curvilinear conducting surface radiatorAbstract
We present a new approach to analysis of curvilinear perfect conducting surface radiators. The feature of this approach is a formulation of boundary value problem as a system of integral equations in regard to the complex electrodynamic vector potential and the scalar potential and simultaneous solution of this system for unknown distributions of current density vector and charge density using technique of parametrical mapping for representing curvilinear surface and the Galerkin’s method with boundary elements. Advantages of the approach in comparison with the Harrington integral equation on example of surface current distributions at the third order surface (Ferguson’spatches) are demonstrated.References
MITTRA, R. (ed.) Computer Techniques for Elektromagnetics. Мoscow: Mir, 1977 [in Russian].
LEE, KUNWOO. Principles of CAD/CAM/CAE Systems. S. Piterburg.: Piter, 2004 [in Russian].
STRATTON, J.A. Electromagnetic Theory. Gostehizdat, 1948 [in Russian].
BAKELMAN, I.Y. Higher Geometry. Moscow: Prosveshenie, 1967 [in Russian].
BERMANT, A.F. Mapping. Curvilinear coordinates. Transformations. The Green’s Formulas. Fizmatgiz, 1958 [in Russian].
MARKOV, G.T.; ET AL. Electrodynamics and Radio Propagation: Studies. A manual for High Schools. Moscow: Sov. Radio, 1979 [in Russian].
KRUG, K.A. Fundamentals of an Electrical Engineering. Gosenergoizdat, 1946 [in Russian].
VOLAKIS, JOHN LEONIDAS; CHATTERJEE, ARINDAM; KAMPEL, LEO C. Finite Element Method for Electromagnetics: with Applications to Antennas, Microwave Circuits, and Scattering. New York: IEEE PRESS, 1998.
GLISSON, A.W.; WILTON, D.R. Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces. IEEE Trans. Antennas Propag., Sept. 1980, v.28, n.5, p.593-603.