Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach

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.

34 pages. Minor changes, references added

References in corpus (5)

• General Relativity in Electrical Engineering
• Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
• Optics of Nonuniformly Moving Media
• A new approach to hyperbolic inverse problems
• A new approach to hyperbolic inverse problems II (Global step)

Cited by in corpus (5)

• Inverse problems for general second order hyperbolic equations with time-dependent coefficients
• Inverse hyperbolic problems and optical black holes
• A Simple Proof of Magnetic and Electric Aharonov-Bohm Effects
• Stationary Black Hole Metrics and Inverse Problems in Two Space Dimensions
• Aharonov-Bohm effect revisited