Direct Measurement of Eigenemittances Transfer to Projected Emittances via Phase-Space Decoupling for an Electron Beam

TL;DR

This paper demonstrates experimentally how eigenemittances in an electron beam can be directly mapped to transverse emittances through phase-space decoupling, enabling precise control of beam properties.

Contribution

It provides the first direct experimental validation of eigenemittance transfer to projected emittances via phase-space decoupling in electron beams.

Findings

Confirmed asymmetric transverse emittance ratio > 200

Validated eigenemittance to emittance mapping experimentally

Demonstrated control over beam phase-space properties

Abstract

Phase-space partitioning offers an attractive path for the precise tailoring of complex dynamical systems. In Beam Physics, the proposed approach involves (i) producing beams with cross-plane correlations to control kinematical invariants known as eigenemittances and (ii) mapping them to invariants of motion associated with given degrees of freedom via a decoupling transformation. Here we report on the direct experimental demonstration of the mapping of eigenemittances to transverse emittances for an electron beam. Measured phase space density confirms the generation of beams with asymmetric transverse emittance ratio> 200 consistent with the initiated eigenemittance values. The results could have broad applications to other fields where invariants are sometimes used to describe coupled classical system quantum systems with mixed states.