Study of Phase Reconstruction Techniques applied to Smith-Purcell Radiation Measurements

TL;DR

This paper evaluates phase reconstruction techniques like Hilbert and Kramers-Kronig transforms to improve the accuracy of beam profile measurements in accelerator-based Smith-Purcell radiation experiments.

Contribution

It provides a comparative analysis of phase reconstruction methods and offers optimization strategies for better profile recovery.

Findings

Hilbert and Kramers-Kronig methods have different performance profiles.

Optimization can significantly improve phase reconstruction accuracy.

The study guides better application of phase retrieval in accelerator diagnostics.

Abstract

Measurements of coherent radiation at accelerators typically give the absolute value of the beam profile Fourier transform but not its phase. Phase reconstruction techniques such as Hilbert transform or Kramers Kronig reconstruction are used to recover such phase. We report a study of the performances of these methods and how to optimize the reconstructed profiles.