Numerical method for calculating surface current density on a two-dimensional scatterer with smooth contour

• Published in: I.R.E. transactions on antennas and propagation 1985-12, Vol.33 (12), p.1369-1378
• Main Authors: Yasuura, K., Okuno, Y.
• Format: Article
• Language: English
• Subjects: Applied sciences; Boundary conditions; Computer science; Current density; Diffraction, scattering, reflection; Exact sciences and technology; Integral equations; Mode matching methods; Radiocommunications; Radiowave propagation; Resonance; Scattering; Smoothing methods; Surface fitting; Telecommunications; Telecommunications and information theory
• ISSN: 0018-926X; 0096-1973; 1558-2221
• DOI: 10.1109/TAP.1985.1143527

A numerical method is presented for finding the surface current density on a two-dimensional smooth scatterer. This method is an improved version of a method which one of the authors presented as an adjoint method to the conventional mode-matching method (MMM) for finding the scattered field. After formulating the problem, we interpret the method being adjoint to the conventional mode-matching method and show that the method yields a sequence of approximate current densities converging to the true density in the mean squares sense. Next we propose the improved method and prove the fact that this method yields a sequence of approximate solutions which converges to the true density uniformly on the contour of the scatterer. We then state that the method is an adjoint one to the mode-matching method with a smoothing procedure (SP) which we proposed as a powerful numerical method for the scattered field. Numerical results of some sample calculation are attached to show the effectiveness of the new method.