SVO and Singular Functions Quadrature in Near-Field Antenna Measurements

We show that the sampling approach provided by the Singular Value Optimization (SVO) technique defines quadrature rules of the singular functions arising from the application of the Singular Value Decomposition (SVD) approach. In other words, by the information collected by the elementary antennas defined by the SVO, it is possible to accurately determine the open circuit voltages received by the “virtual” antennas defined by the singular functions.The discussion is led in a 2D, scalar setting. The theoretical arguments are supported by numerical results referring to a full 3D Near-Field/Far-Field (NFFF) transformation problem.