Recovery of defects from the information at detectors

TL;DR

This paper addresses the problem of identifying defect configurations in a multidimensional space by analyzing wave amplitudes recorded at detectors, providing a theoretical framework for defect recovery.

Contribution

It offers a characterization of all defect configurations consistent with observed wave data in a discrete wave equation setting.

Findings

Complete characterization of defect configurations from detector data

Theoretical framework for defect recovery in multidimensional spaces

Applicable to inverse problems in wave propagation

Abstract

The discrete wave equation in a multidimensional uniform space with local defects and sources is considered. The characterization of all possible defect configurations corresponding to given amplitudes of waves at the receivers (detectors) is provided.