# The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence

## TL;DR

This paper presents a numerical method using non-linear boundary integral equations to solve the inverse electromagnetic scattering problem for a penetrable cylinder at oblique incidence, demonstrating its feasibility through numerical results.

## Contribution

It introduces a novel iterative scheme that linearizes only the far-field equation for efficient inverse scattering reconstruction.

## Key findings

- Numerical results confirm the method's effectiveness.
- The approach accurately reconstructs the cylinder's properties.
- The scheme is computationally feasible for 3D problems.

## Abstract

In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder in three dimensions. We consider the indirect method and simple representations for the electric and the magnetic fields in order to derive a system of five integral equations, four on the boundary of the cylinder and one on the unit circle where we measure the far-field pattern of the scattered wave. We solve the system iteratively by linearizing only the far-field equation. Numerical results illustrate the feasibility of the proposed scheme.