Comparison of Some Geometries in the Inverse Source Problem

Abstract

In this paper, the inverse source problem for different source support 2D geometries is considered, when assuming that the radiated field is observed on a circumference in far zone. The Singular Value Decomposition (SVD) of the relevant linear operator is examined and an estimation of the Number of Degrees of Freedom (NDF) is recalled for some conic curves. In addition, a 2D source geometry made up by two lines is considered. Then, the reconstruction and radiation properties of some conic curves are compared to those ones of less bulky angle sources with the same aspect ratio.