A mathematical approach towards THz tomography for non-destructive imaging

TL;DR

This paper develops a nonlinear mathematical model for THz tomography in non-destructive testing, compares linear approximations with standard tomography, and evaluates reconstruction methods on experimental data.

Contribution

It introduces a comprehensive nonlinear model for THz tomography and explores various reconstruction approaches, bridging it with classical tomography techniques.

Findings

Linear approximations relate THz tomography to Radon transform.

Reconstruction methods are tested on experimental THz data.

The models facilitate improved imaging in non-destructive testing.

Abstract

In this paper, we consider the imaging problem of terahertz (THz) tomography, in particular as it appears in non-destructive testing. We derive a nonlinear mathematical model describing a full THz tomography experiment, and consider linear approximations connecting THz tomography with standard computerized tomography and the Radon transform. Based on the derived models we propose different reconstruction approaches for solving the THz tomography problem, which we then compare on experimental data obtained from THz measurements of a plastic sample.