Broadband Spatiotemporal Differential-Operator Representations for Velocity-Dependent Scattering

Censor, D.; Gurion, Ben

doi:10.2528/pier05052502

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…The special feature characteristic of the low-frequency series expansions is that for the leading terms n = 0, n = 1, the Consistent Maxwell Systems (17) and (18) prescribe solutions of the vector Laplace equation, rather than the vector Helmholtz equation.…”

Section: Consistent Maxwell Systems and Low-frequency Seriesmentioning

confidence: 99%

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Free-Space Relativistic Low-Frequency Scattering by Moving Objects

Censor¹

2007

PIER

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Abstract-The present study brings together two aspects of electromagnetic theory: the recently discussed low-frequency series expansions based on the concept of Consistent Maxwell Systems, and Einstein's Relativistic Electrodynamics. Combined, this facilitates the analysis of pertinent low-frequency scattering problems involving objects moving with arbitrary constant velocities in free space.The low-frequency series expansions start with leading terms that are prescribed by solutions of the vector Laplace equation, thus significantly simplifying the conventional analysis in terms of the Helmholtz wave equation. The method is demonstrated by deriving relativistically exact explicit results leading terms for perfectly conducting circular-cylindrical and spherical scatterers. The results apply to arbitrary reference frames where the objects are observed in motion. For simplicity of notation expressions are given in terms of spatiotemporal coordinates native to the object's restframe. Subsequent substitution of the Lorentz transformation for the coordinates is then a straightforward matter.Previous exact relativistic results for scattering by moving objects have demonstrated the existence of velocity induced mode coupling. It is shown that the low-frequency expansions used here display the same effects for various orders of the partial fields appearing in the series.

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Section: Consistent Maxwell Systems and Low-frequency Seriesmentioning

confidence: 99%

“…(30) As an alternative to (6), one can substitute from the Maxwell equations (3) into (6), (7), deriving transformation differential operators [7,16,17] …”

Section: Relativistic Considerationsmentioning

confidence: 99%

Free-Space Relativistic Low-Frequency Scattering by Moving Objects

Censor¹

2007

PIER

Self Cite

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“…In waveguides, the phase velocity is frequency dependent and can be used to model the scattering centers [6]. In open-ended waveguides illuminated by a high frequency plane wave, the aperture field at each assumed sub-aperture has a discrete radial beam launched into the waveguide [7].…”

Section: Formulationmentioning

confidence: 99%

Analysis of the radar range extension in open-ended waveguide type geometries

Heidar

Tavakoli

Abdipour

2011

IEICE Electron. Express

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High frequency EM backscatter modeling of large waveguide type geometries is a difficult task. In analysis of radar range profile, wider bandwidths make modeling even more challenging. Here, a new dispersive scattering center model is used based on Model Based Parameter Estimation (MBPE) approach. The model is capable of representing the radar range extension according the nonlinear variations of the scattering phase. A population-based Maximum Likelihood (ML) algorithm is used to calculate the parameters. The PRONY method is used for initialization. Wideband sparse measured frequency domain samples are the inputs of the model. The results are compared with IFFT outcomes.

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“…r m is the distance from the origin (phase reference) to the mth scatterer and B m is the weighting coefficient. In waveguide geometries, the phase velocity is frequency dependent and can be used to model scattering centers [7]. In open-ended waveguides illuminated by a high frequency plane wave, the aperture field at each assumed sub-aperture is a discrete radial beam launched into the waveguide [8].…”

Section: The Nonlinear Phase and Group Delaymentioning

confidence: 99%

Wideband Dispersion Analysis of Waveguide Geometries Using Finite Sampled Data

Heidar¹,

Tavakoli

2011

PIER M

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Abstract-Wideband analysis of frequency dispersive geometries is a challenge in inverse scattering problems. Waveguide duct is an important case in aerial targets with dominant returns. Its dispersive behavior affects the range profile analysis due to occurrence of unwanted range extension. A new high frequency analysis using model based parameter estimation (MBPE) approach is presented. A group delay criteria derived from the nonlinear scattering phase response represents the duct length. Wideband sparse measured frequency domain samples of various waveguides are used as inputs to the model. Comparison is made with joint time-frequency analysis (JTFA) and inverse fast Fourier transform (IFFT) results.

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Broadband Spatiotemporal Differential-Operator Representations for Velocity-Dependent Scattering

Cited by 11 publications

References 15 publications

Free-Space Relativistic Low-Frequency Scattering by Moving Objects

Free-Space Relativistic Low-Frequency Scattering by Moving Objects

Analysis of the radar range extension in open-ended waveguide type geometries

Wideband Dispersion Analysis of Waveguide Geometries Using Finite Sampled Data

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