Test of candidate light distributors for the muon (g$-$2) laser calibration system
A. Anastasi, D. Babusci, F. Baffigi, G. Cantatore, D. Cauz, G., Corradi, S. Dabagov, G. Di Sciascio, R. Di Stefano, C. Ferrari, A.T., Fienberg, A. Fioretti, L. Fulgentini, C. Gabbanini, L.A. Gizzi, D. Hampai,, D.W. Hertzog, M. Iacovacci, M. Karuza, J. Kaspar, P. Koester

TL;DR
This paper compares two light distribution systems, an integrating sphere and an engineered diffuser, for laser calibration in Fermilab's muon (g-2) experiment, focusing on their performance characteristics.
Contribution
It provides a detailed comparison of two candidate light distributors, evaluating their suitability for precise laser calibration in a high-energy physics experiment.
Findings
The integrating sphere offers superior temporal response.
The engineered diffuser provides better spatial uniformity.
Both systems demonstrate stable transmittance over time.
Abstract
The new muon (g-2) experiment E989 at Fermilab will be equipped with a laser calibration system for all the 1296 channels of the calorimeters. An integrating sphere and an alternative system based on an engineered diffuser have been considered as possible light distributors for the experiment. We present here a detailed comparison of the two based on temporal response, spatial uniformity, transmittance and time stability.
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