Light scattering from three-level systems: The T-matrix of a point-dipole with gain
Tom Savels, Allard Mosk, and Ad Lagendijk

TL;DR
This paper extends the T-matrix approach to model light scattering by a three-level atom with gain, providing an exact analytical expression that accounts for pumping effects on scattering properties.
Contribution
It introduces a novel formalism combining the T-matrix method with a Master equation for three-level systems, enabling precise analysis of pumped atomic scattering.
Findings
Derived an exact analytical T-matrix for a pumped three-level atom.
Showed how pumping influences light scattering properties.
Provided a framework for future studies of gain media in scattering.
Abstract
We present an extension of the T-matrix approach to scattering of light by a three-level system, using a description based on a Master equation. More particularly, we apply our formalism to calculate the T-matrix of a pumped three-level atom, providing an exact and analytical expression describing the influence of a pump on the light scattering properties of an atomic three-level system.
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