# A Mathematical Model for SAR Imaging beyond the First Born Approximation

@article{Gilman2015AMM, title={A Mathematical Model for SAR Imaging beyond the First Born Approximation}, author={Mikhail Gilman and Semyon Tsynkov}, journal={SIAM J. Imaging Sci.}, year={2015}, volume={8}, pages={186-225} }

The assumption of weak scattering is standard for the mathematical analysis of synthetic aperture radar (SAR), as it helps linearize the inverse problem via the first Born approximation and thus makes it amenable to solution. Yet it is not consistent with another common assumption, that the interrogating waves do not penetrate into the target material and get scattered off its surface only, which essentially means that the scattering is strong. In the paper, we revisit the foundations of the…

## 11 Citations

Imaging Simulation for Synthetic Aperture Radar: A Full-Wave Approach

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The full-wave method is applied to include the electromagnetic effects in raw data generation, and then a refined omega-K algorithm is used to perform image focusing, and the results compare well with chamber experiments.

Detection of delayed target response in SAR

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A simple model of a delayed scatterer is developed by modifying the random function that describes a homogeneous extended scatterers to obtain a relation between the deterministic parameters of the target model and statistical moments of the SAR image.

A mathematical perspective on radar interferometry

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Radar interferometry is an advanced remote sensing technology that utilizes complex phases of two or more radar images of the same target taken at slightly different imaging conditions and/or…

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In this chapter, we return to the foundations of the SAR ambiguity theory that we presented in Chapter 2, and address the inconsistencies of the conventional approach outlined in Section 2.7 A…

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Conditions in which forward scattering of multiple scattering point-like targets behaves like Born approximation scattering are derived in the framework of the Foldy-Lax multiple scattering model.…

Conventional SAR imaging

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- 2017

This chapter explains the fundamental principles of SAR data collection and image formation, i.e., inversion of the received data, which can be categorized as a coherent imaging technology.

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The experimental results demonstrate that the 2-D model does a much better job of capturing the sparsity of SAR and the 2 -D algorithms consistently perform better than the “local” 1-D algorithms.

Polarimetric radar interferometry in the presence of differential Faraday rotation

- Environmental Science, PhysicsInverse Problems
- 2022

Faraday rotation (FR) affects the low-frequency transionospheric radar by creating cross-talk between polarizations. The baseline part of FR can be compensated for by applying an appropriate linear…

DInSAR method applied to dual-pair interferograms with Sentinel-1 data: a study case on inconsistent unwrapping outputs

- Environmental ScienceInternational Journal of Remote Sensing
- 2020

ABSTRACT Many works have been implemented to describe how seismic vertical displacement maps can be generated from synthetic aperture radar (SAR) images. The theory that supports these works is a…

Through-the-Wall Nonlinear SAR Imaging

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Numerical comparison with the solution of the linearized inverse scattering problem provided by the Born approximation, commonly used in conventional SAR imaging, shows a significantly better accuracy of the results.

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