Information content of the near field: three-dimensional samples

Fischer, David G.; Frazin, R. A.; Asipauskas, Marius; Carney, P. Scott

doi:10.1364/josaa.28.000296

Cited by 11 publications

(14 citation statements)

References 34 publications

(51 reference statements)

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“…with Eqs. (26) and (27) predict that ∆x and ∆y are smaller at the centre of the source region whereas they increase when source point moves toward the edge of SD. Moreover, such a spatially varying behaviour becomes more marked when z o increases or the observation domain size decreases.…”

Section: Point-spread Function Approximation and Resolution Estimmentioning

confidence: 99%

“…This is consistent with the point-spread function pertaining to the unbounded observation domain previously reported in Section III. Indeed, in this case Ω(r, r ) tends to the circle of radius k (independently from r and r ) and (26) and (27) just refer to the square spectrum domain of side 2k containing that circle. Of course in that case there is no need to go through our estimation procedure since closed form results can be easily obtained as (actually) reported above.…”

Section: Point-spread Function Approximation and Resolution Estimmentioning

confidence: 99%

“…This is indeed the mathematical rationale (often implicitly assumed) behind most of the studies reporting resolution estimation in terms of "only" the parameters of the configuration [17]- [24]. Of course, for very near-zone configurations, the evanescent contribution cannot be neglected and so the SNR turns to play a prominent role on the achievable resolution [25], [26]. However, in this contribution, very near-zone configurations are ruled out.…”

Section: Introductionmentioning

confidence: 97%

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Near-Field Resolution in Planar Source Reconstructions

Maisto¹,

Pierri²,

Solimene³

2020

Preprint

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<div>This paper deals with the classical question of estimating the achievable resolution in terms of the configuration parameters in inverse source problems. In particular, the study focuses on the case of a planar surface magnetic current which is to be reconstructed from near-field observed over a bounded rectangular aperture parallel to the source domain. Here, the plan is to work out a resolution estimation that precisely captures the spatially varying behaviour entailed by the near-field and aspect-limited configuration. To this end, the pertinent radiation operator is inverted by an adjoint inversion scheme (a backpropagation- like method) and the corresponding point-spread function is analytically estimated. Numerical examples show that the derived resolution estimation clearly points out the role of the geometrical parameters of the configuration and it is more accurate than other literature results.</div>

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Section: Point-spread Function Approximation and Resolution Estimmentioning

confidence: 99%

Section: Point-spread Function Approximation and Resolution Estimmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

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Near-Field Resolution in Planar Source Reconstructions

Maisto¹,

Pierri²,

Solimene³

2020

Preprint

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“…Later, the NDF was related to the number of independent channels connecting two volumes that communicate through waves [16][17][18]. Moreover, as discussed in [19,20], the NDF is also linked to the information content of the radiated field. In [21], its link with some symmetry priors about the source space is investigated.…”

Section: Introductionmentioning

confidence: 99%

Radiation Properties of Conformal Antennas: The Elliptical Source

2019

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The solution of inverse source problems by numerical procedures requires the investigation of the number of independent pieces of information that can be reconstructed stably. To this end, the mathematical properties of the relevant operators are to be examined in connection with the source shape. The aim of this work is to investigate the effect of the source shape on the eigendecomposition of the radiation operator in a 2D geometry, when the radiated field is observed over a semi-circumference in the far zone. We examine both the behavior of the eigenvalues and the effect of the choice of the representation variables on the point spread function (PSF). In particular, the effect of the choice of the representation variables is considered since operator properties may depend on it. We analyze different source shapes evolving from a line to a semi-ellipse and, finally, to a semi-circumference, in order to understand how the increase of the source aspect ratio affects the results. The main conclusions concern an estimate of the number of degrees of freedom in connection with the source geometry and the fact that the PSF exhibits the same variant behavior along the considered domain, independently of the observation variable. The practical relevance of the result is illustrated by two numerical examples. The first one deals with the conformal array diagnostics for the reliable reconstruction of the excitation of the array elements. The second one concerns the array synthesis problem, and a comparison between the radiating performances of the source geometries is presented.

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“…By interpreting the scattering operator as a propagator of information, the NDF has also been linked to the number of independent channels of communication which significantly connect (i.e., with coupling coefficient higher than a noise dependent threshold) the scattering and the measurement volumes [13][14][15][16][17]. By following further the information point of view, for many times the NDF has been considered a measure of the information that can be conveyed back from scattered field measurements to the scatterer [18,19]. However, although the NDF is linked to the information content, they actually are not the same thing [20].…”

Section: Introductionmentioning

confidence: 99%

The Role of Diversity on Linear Scattering Operator: The Case of Strip Scatterers Observed under the Fresnel Approximation

Maisto

Munno

2019

Electronics

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The aim of this paper is to investigate the role of multiple views and multiple frequencies in linear inverse scattering problems. The study was performed assuming the Fresnel-zone approximation on the scattering operator. Due to the crucial role played by singular values into analysing the linear inverse scattering problems, the impact of view and frequency diversities on singular values behaviour was established. In fact, the singular values were related to the most common metrics used to quantify the achievable performances in inverse scattering problems, such as the number of degrees of freedom (NDF), the information content and the resolution.

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Information content of the near field: three-dimensional samples

Cited by 11 publications

References 34 publications

Near-Field Resolution in Planar Source Reconstructions

Near-Field Resolution in Planar Source Reconstructions

Radiation Properties of Conformal Antennas: The Elliptical Source

The Role of Diversity on Linear Scattering Operator: The Case of Strip Scatterers Observed under the Fresnel Approximation

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