A projection method for solving discretezed inverse problems for antenna measurements

Abstract

In the article, the problems of determining and monitoring antenna parameters, solved using measurements in the near field, are presented in a unified formulation corresponding to the gene-ralized inverse radiation problem in the form of an integral equation of the first kind. Within the framework of the numerical approach to the solution, the equation is discretized, and then the solution is sought approximately as a solution to the normal system of equations. It is shown that an approximate solution to the discretized problem that satisfies the normal system is also a solution to an equation with an orthogonal projector on its right-hand side. On the basis of this formulation, a new method of iterative projections is proposed. The efficiency of the method is demonstrated by the example of solving the problem of reconstructing the radiation pattern of a horn antenna from near-field data calculated for the electrodynamic model of the antenna in the HFSS program. The results of the proposed method are compared with the results of solving the problem by the method of decomposition in singular numbers.