Plane-Wave Theory of Time-Domain Fields

Hansen, Thorkild B.; Yaghjian, Arthur D.

doi:10.1109/9780470545522

Cited by 219 publications

(151 citation statements)

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“…The main advantage in using the special sequence (6) is that it has exactly the same form of the evanescent modes radiated by a point source at the origin [2,5]. As is well known in electromagnetic near field theory, the major difference between far fields and generic fields (for example, near fields, directed beams, scattered fields) is that the latter contain rich and complex mixture evanescent modes in addition to the typical propagating modes [2,5]. Mathematically, a generic near field can be written as E r;R = E pr r;R + E ev r;R ,…”

Section: Numerical Analysis Of Near-field Interactions In Linear Wirementioning

confidence: 99%

“…Field illumination by a generic source at close distance involves not only propagating modes with wavelength roughly determined by the formula λ = f /c, but also short-wavelength components or evanescent modes that represent the rapid variation in the near field [5]. Note that for a specially prepared discretization mesh, it is possible to compute the response to any near field using full-wave analysis methods such as MoM [6].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Generic Near-Field Interactions Using the Antenna Current Green's Function

Mikki

Antar²

2015

PIER C

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Abstract-We investigate the problem of near field interactions with general antenna systems using the antenna current Green's function formalism recently proposed by the authors as a framework for the theoretical and computational analysis of the interaction problem. The paper focus is on conceptual and numerical issues related to the analysis of the electromagnetic response of generic devices to arbitrary illumination fields produced, for example, by nearby source or scattered by surrounding objects. We provide some method of moment numerical examples involving wire antenna systems substantiating the ACGF approach to the problem of near field excitations.

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Section: Numerical Analysis Of Near-field Interactions In Linear Wirementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Generic Near-Field Interactions Using the Antenna Current Green's Function

Mikki

Antar²

2015

PIER C

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“…We propose a simple and rigorous formulation to calculate the E-field time derivative from the measured E-field as complementary development of the analysis presented in [10]. The computation scheme for NF to FF field transformation is validated using analytic radiating array composed of infinitesimal dipoles.…”

Section: Introductionmentioning

confidence: 99%

“…This assumption gives a reduced view of the reality of TD NF measurement practices. Considering the spatial sampling criterion based on the highest frequency of the AUT excitation signal (λ min /2), as presented in [10], does not guarantee the accuracy of the TD far-field calculation. Indeed, the AUT directivity depends on the frequency and using the same measurement surface for time-domain FF calculation leads to a frequency dependent truncation error.…”

Section: Introductionmentioning

confidence: 99%

“…The quantity of NF data depends on the used time and spatial sampling criteria. These are determined based on the AUT excitation signal maximum frequency as presented in [10]. Authors in [11][12][13] present a different NF sampling strategy that aims at representing the NF measurement data using plane polar samples allowing a minimum redundancy in NF sampling.…”

Section: Introductionmentioning

confidence: 99%

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On the Near-Field Sampling and Truncation Errors in Planar Time-Domain Near-Field to Far-Field Transformation

Serhir¹

2015

PIER B

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Abstract-This paper studies the effect of three important parameters in planar time-domain (TD) near-field (NF) to far-field (FF) transformation. These parameters are the NF spatial sampling, NF measurement distance and scan surface truncation. The effect of these parameters over the TD FF accuracy are difficult to predict for Ultra Wide Band antennas. In this paper we aim to choose the optimum NF measurement parameters guaranteeing accurate calculation of the time-domain far-field. This allows the optimization of the computation time and memory requirements. Computations using analytic array of elementary dipoles radiation pattern are used to study the impact of each parameter in time-domain near-field antenna measurement. The comparison of the far-field results are presented in time and frequency domains. In particular, it is shown that the choice of the measurement distance and the size of the scan surface decide predominantly on the frequency band of accurate FF calculation. The used formalism in this paper for the NF to FF transformation is based on the Green's function.

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Gaussian translation operator in a multilevel scheme

Hansen¹,

Borries²

2015

Radio Science

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A multilevel computation scheme for time-harmonic fields in three dimensions will be formulated with a new Gaussian translation operator that decays exponentially outside a circular cone centered on the line connecting the source and observation groups. This Gaussian translation operator is directional and diagonal with its sharpness determined by a beam parameter. When the beam parameter is set to zero, the Gaussian translation operator reduces to the standard fast multipole method translation operator. The directionality of the Gaussian translation operator makes it possible to reduce the number of plane waves required to achieve a given accuracy. The sampling rate can be determined straightforwardly to achieve any desired accuracy. The use of the computation scheme will be illustrated through a near-field scanning problem where the far-field pattern of a source is determined from near-field measurements with a known probe. Here the Gaussian translation operator improves the condition number of the matrix equation that determines the far-field pattern. The Gaussian translation operator can also be used when the probe pattern is known only in one hemisphere, as is common in practice. Also, the Gaussian translation operator will be used to solve the scattering problem of the perfectly conducting sphere.

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Plane-Wave Theory of Time-Domain Fields

Cited by 219 publications

References 0 publications

Analysis of Generic Near-Field Interactions Using the Antenna Current Green's Function

Analysis of Generic Near-Field Interactions Using the Antenna Current Green's Function

On the Near-Field Sampling and Truncation Errors in Planar Time-Domain Near-Field to Far-Field Transformation

Gaussian translation operator in a multilevel scheme

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