Evaluation of the Radiation Patterns of Aircraft Slot Antennas Using Iterative Techniques

Abstract

The rigorous electromagnetic formulation of the problem to define the pattern of slot antennas mounted on aircraft is used Fredholm’s integral equation of II kind. For calculation of the slot antenna far-field pattern on perpendicular plane to aircraft axis is used an asymptotic correspondence of 3D and 2D problems in antenna engineering. We assume that slot antenna axis is parallel to aircraft axis. It is shown such correspondence is increasing the abilities of modeling the radiation pattern of slot antennas and arrays. High-precision Gauss quadrature formulas is used for matrix elements calculation. Turn from direct numerical tecniques of the integral equation solving to iterative procedures requires preliminary analysis of the using methods, especially for convergence of largescale problems. On the base of multiple numerical experience for solving some widely-known test poblems we defined the most methods for solving such problems – conjugate gradients squared method and generalized minimum residual method. Numerical result shows that patterns of the aircraft slot antennas have a large number of directional nulls.