Inverse scattering problem in turbulent magnetic fluctuations

TL;DR

This paper develops an inverse scattering approach to analyze turbulent magnetic fluctuations in plasma, linking the problem to quantum scattering theory and providing a new framework for understanding plasma turbulence.

Contribution

It formulates the magnetic fluctuation problem using the turbulent response function and reduces it to a Gel'fand-Levitan-Marchenko equation, bridging plasma physics and quantum scattering theory.

Findings

Formulated magnetic fluctuation problem in terms of electrodynamic response.

Reduced the problem to a Gel'fand-Levitan-Marchenko equation.

Established a new theoretical framework for plasma turbulence analysis.

Abstract

We apply a particular form of the inverse scattering theory to turbulent magnetic fluctuations in a plasma. In the present note we develop the theory, formulate the magnetic fluctuation problem in terms of its electrodynamic turbulent response function, and reduce it to the solution of a special form of the famous Gel$'$fand-Levitan-Marchenko equation of quantum mechanical scattering theory.