The Inverse Problem for the Dipole Field

TL;DR

This paper presents a solution to the inverse problem of determining a dipole's position and dynamics from its electromagnetic field, aiding investigations into radiative processes in solids caused by changing charge distributions.

Contribution

It provides explicit formulae for calculating the dipole's location and behavior from measured fields, a novel approach for analyzing complex electromagnetic sources in solids.

Findings

Derived formulae for dipole position and dynamics from electromagnetic measurements

Application potential in studying atomic oscillations and electron gas behavior

Useful for analyzing fields during solid cracking or dislocation formation

Abstract

The Inverse problem for an electromagnetic field produced by a dipole is solved. It is assumed that the field of an arbitrary changing dipole is known. Obtained formulae allow calculation of the position and dynamics of the dipole which produces the measured field. The derived results can be used in investigations on radiative process in solids caused by changing of the charge distribution. For example, generation of the electromagnetic field caused by oscillations of atoms or electron gas at the trace of a particle channeling in a crystal, or fields arising at solids cracking or dislocation formation -- in any case when one is interested in the details of the dipole field source.