Field sampling and field reconstruction: A new perspective

Abstract

[1] We address the problem of extracting the maximum amount of information on an electromagnetic field over a domain D O from field sample measurements on a domain D I , with a priori information on the source (or scatterer). The problem is faced in two steps. In the first one, the source reconstruction is dealt with by taking into account the available a priori information and the optimal probe positioning is determined as that optimizing the singular value dynamics of the involved linear radiation operator. The second step consists of reconstructing the field on D O as that radiated by the retrieved source. An extensive numerical analysis highlights the performance of the approach.Citation: Capozzoli, A., C. Curcio, A. Liseno, and P. Vinetti (2010), Field sampling and field reconstruction: A new perspective, Radio Sci., 45, RS6004,

Fast Antenna Characterization Using the Sources Reconstruction Method on Graphics Processors

“…As a consequence, the computation of the field over a surface that has a different shape than the acquisition one may considerably increase the computational cost. In addition, the NF-FF transformations that these methods use are based on Fast Fourier Transform (FFT) calculations and, consequently, this imposes a minimum spatial sampling rate of the measured field to satisfy Nyquist criterion [31], although recent advances in NF-FF transformations are able to overcome this limitation, thus reducing the number of sampling points to be employed [8,9]. Another drawback of the planar and cylindrical wave mode expansion techniques is due to the truncation or windowing of the fields that are assumed to be zero outside of the acquisition domain [22].…”

Nufft-Accelerated Plane-Polar (Also Phaseless) Near-Field/Far-Field Transformation

“…In order to improve the antenna characterization results as compared to a standard transformation by exploiting the a priori information on the shape and size of the source [8,9,21], the aperture field E a is represented by the Prolate Spheroidal Wave Functions (PSWFs) as [9,[21][22][23]]…”

“…The Authors have contributed in this framework by an advanced non-uniform sampling technique [8], capable to significantly reducing the acquisition time and the illconditioning as compared to other non-uniform samplings, and which has been also applied to the cases of a plane-polar [9] and "quasiraster" [10] configurations.…”

Experimental Field Reconstruction of Incoherent Sources

“…The presented technique is an extension of that introduced in [21,22] and successfully adopted to experimentally characterize deterministic (CW-multifrequency) radiators and fields [19]. Under the assumption that the source is wide sense stationary [28] and quasimonochromatic [29], its second order statistics can be reconstructed by time-domain NF field measurements aimed at forming the mutual coherence of the measured field itself [30].…”

“…In this framework, the Authors have recently proposed in [21,22] a particularly efficient field sampling strategy.…”