A maximum likelihood method for the measurement of laser damage behavior

Jonathan W. Arenberg; Micheal D. Thomas

doi:10.1117/12.2068256

31 October 2014 A maximum likelihood method for the measurement of laser damage behavior

Proceedings Volume 9237, Laser-Induced Damage in Optical Materials: 2014; 923717 (2014) https://doi.org/10.1117/12.2068256
Event: SPIE Laser Damage, 2014, Boulder, Colorado, United States

Abstract

This paper introduces a method to determine the uncertainty in the model parameters for a laser damage measurement analyzed via maximum likelihood methods. The behavior of the model parameters with the number of sites (search length) is examined using repeated measurements of a virtual optic. This virtual optic is represented by a probability curve that is a cumulative Gaussian. The damage model is a 2 parameter Weibull distribution. Measurements of various lengths are used to establish convergence of the model parameters. It is shown that increasing search length decreases the variance in the parameters and that the parameters are basically independent.

Citation Download Citation

Jonathan W. Arenberg and Micheal D. Thomas "A maximum likelihood method for the measurement of laser damage behavior", Proc. SPIE 9237, Laser-Induced Damage in Optical Materials: 2014, 923717 (31 October 2014); https://doi.org/10.1117/12.2068256

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