Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach

TL;DR

This paper investigates the optical Aharonov-Bohm effect through an inverse hyperbolic problem framework, proposing a method to detect the effect via boundary measurements of the governing equations.

Contribution

It introduces an inverse problem approach to identify coefficients related to the optical Aharonov-Bohm effect using boundary data, linking physical phenomena with mathematical analysis.

Findings

The inverse problem can, in principle, detect the optical Aharonov-Bohm effect.

Boundary measurements are sufficient to identify relevant coefficients.

The approach provides a theoretical foundation for experimental detection.

Abstract

We describe the general setting for the optical Aharonov-Bohm effect based on the inverse problem of the identification of the coefficients of the governing hyperbolic equation by the boundary measurements. We interpret the inverse problem result as a possibility in principle to detect the optical Aharonov-Bohm effect by the boundary measurements.