Wideband Near- and Far-Field Double-Bounce Physical Optics via Co-Area Range Profile Extraction
Abstract
Wideband evaluation of the Radar Cross Section (RCS) and the underlying range profile of a target, including its secondary double-bounce fields, remains a computational bottleneck even for modern high-frequency solvers. This paper presents a framework for evaluating the wideband range profile under the Physical Optics (PO) approximation without repeated frequency-domain iterations. Using phase level-set integration via the Co-Area formula, we project the single- and double-bounce scattered fields into frequency-independent Geometric Range Profiles (GRPs), valid in both the far-field and near-field regions. The approach builds on the Radon Transform interpretation of Physical Optics scattering. Unlike point-sampling methods, our discrete implementation bins the profile in range while retaining a complex-valued representation that encodes sub-bin phase corrections, so the field can be evaluated accurately at frequencies well beyond the nominal mesh resolution. We also derive a corresponding time-domain formulation for the scattered transient response to analytic incident pulses. We further show that the classical second-derivative area law for far-field transient scattering extends into the near field as a two-term expression in the derivatives of an isochrone projected area, which reduces to the classical law as the additional induction term decays with range.
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BibTeX
@misc{binderman2026wideband,
title = {{Wideband Near- and Far-Field Double-Bounce Physical Optics via Co-Area Range Profile Extraction}},
author = {Guy Binderman and Amir Boag},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41812},
eprint = {2610.41812},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41812},
}
RIS
TY - UNPB
TI - Wideband Near- and Far-Field Double-Bounce Physical Optics via Co-Area Range Profile Extraction
AU - Guy Binderman
AU - Amir Boag
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41812
UR - https://arxiv.org/abs/2610.41812
AB - Wideband evaluation of the Radar Cross Section (RCS) and the underlying range profile of a target, including its secondary double-bounce fields, remains a computational bottleneck even for modern high-frequency solvers. This paper presents a framework for evaluating the wideband range profile under the Physical Optics (PO) approximation without repeated frequency-domain iterations. Using phase level-set integration via the Co-Area formula, we project the single- and double-bounce scattered fields into frequency-independent Geometric Range Profiles (GRPs), valid in both the far-field and near-field regions. The approach builds on the Radon Transform interpretation of Physical Optics scattering. Unlike point-sampling methods, our discrete implementation bins the profile in range while retaining a complex-valued representation that encodes sub-bin phase corrections, so the field can be evaluated accurately at frequencies well beyond the nominal mesh resolution. We also derive a corresponding time-domain formulation for the scattered transient response to analytic incident pulses. We further show that the classical second-derivative area law for far-field transient scattering extends into the near field as a two-term expression in the derivatives of an isochrone projected area, which reduces to the classical law as the additional induction term decays with range.
ER -