INTEGRAL EQUATIONS FOR MODELING CYLINDRICAL MIRROR ANTENNAS

Abstract

The application of integral equations of magnetic field strength for simulating the radiation of multi-mirror antennas with cylindrical reflectors is considered in the article. Preliminary information is given on the aperture and current methods of modeling mirror antennas. The information on the irradiator of the main mirror of the antenna in the form of a cylindrical parabolic segment forming a cylindrical wave is given. Information on the authors' patents on the construction of mirror cylindrical antennas is given. The cylindrical shape of the reflectors makes it possible to eliminate the cross-polarization radiation of the mirror antennas. The analysis of antennas is proposed to be performed by numerical methods, by the method of moments, using quadrangular cells, which give an advantage in the cylindrical shape of mirrors. Quadrangular cells allow you to most accurately approximate the shape of the surface of mirrors. An expression is obtained for calculating the coefficients of the system of linear algebraic equations (SLAE) matrix, to which the integral equation reduces. The procedure for eliminating singularities in numerical calculations is considered. Numerical analysis of mirror antennas with cylindrical shape of reflectors allows to significantly reduce the complexity of the problem.

Keywords

• mirror antennas
• deployable structures
• reflectors in the form of a paraboloid of revolution
• cylindrical reflectors
• numerical methods for analyzing antennas
• structural features
• cross-polarization