Asymptotic inconsistency of the cumulative algorithm for laser-induced damage probability analysis

Area of Science:

• Materials Science
• Optical Engineering
• Laser Physics

Background:

• The cumulative algorithm is a proposed method for determining laser-induced damage probability.
• It analyzes experimental data from laser testing protocols (1-on-1 or S-on-1).
• The algorithm aims for objective, nonparametric probability determination as a function of fluence.

Purpose of the Study:

• To explore the limitations of the cumulative algorithm.
• To analyze its behavior in the asymptotic limit with a large number of test sites.
• To evaluate its accuracy in estimating laser-induced damage probability.

Main Methods:

• Theoretical analysis of the cumulative algorithm.
• Consideration of the asymptotic limit of a large number of test sites.
• Comparison of the algorithm's output to the true probability distribution.

Main Results:

• The cumulative algorithm does not converge to the true probability distribution.
• It significantly underestimates the damage probability, especially near the damage onset.
• Limitations were identified through asymptotic analysis.

Conclusions:

• The cumulative algorithm is not recommended for accurate estimation of laser-induced damage probability.
• Its underestimation of damage probability near onset limits its practical application.
• Further research may be needed for more reliable damage probability analysis methods.