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Damage modeling and statistical analysis of optics damage performance in MJ-class laser systems

Zhi M. Liao, B. Raymond, J. Gaylord, R. Fallejo, J. Bude, and P. Wegner

Open Access Open Access

Abstract

Modeling the lifetime of a fused silica optic is described for a multiple beam, MJ-class laser system. This entails combining optic processing data along with laser shot data to account for complete history of optic processing and shot exposure. Integrating with online inspection data allows for the construction of a performance metric to describe how an optic performs with respect to the model. This methodology helps to validate the damage model as well as allows strategic planning and identifying potential hidden parameters that are affecting the optic’s performance.

© 2014 Optical Society of America

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Figures (9)
Fig. 1
Fig. 1 Damage model in support of optics loop cycle required a number of functionalities to support various capabilities such as ability to verify that the process control is in place to produce adequate optics performance and ability to predict recycle rate for different operation configurations.

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Fig. 2
Fig. 2 Flow chart on the process of generating the optics performance table (OPT).

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Fig. 3
Fig. 3 Equivalent shot fluence ϕ at 3ns Gaussian (top), equivalent Gaussian pulse width τ (middle), and the predicted number of initiated sites and grown sites vs. shots (bottom) for an installed optic. The observed initiated sites (o) and grown sites (o) after the shot sequence are also plotted.

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Fig. 4
Fig. 4 Empirical cumulative density plot (CDF) of DIM (left) and DGM (right) for installed WFL.

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Fig. 5
Fig. 5 Empirical cumulative density plot (CDF) of optics performance (DIM) for WFL installed evaluated based on not resetting precursor states (5a, left) and resetting precursor states (5b, right) whenever the optic is recycle

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Fig. 6
Fig. 6 Damage equivalent fluence vs. shot (left) and damage simulation results (right) for same WFL with two simulation results: one which assumes no resetting of the precursor state and one which resets the precursor state (i.e. treated as new optic) whenever optic is recycled (gray lines).

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Fig. 7
Fig. 7 Empirical cumulative density plot (CDF) of DIM for WFL installed using fixed contrast and optimized contrast with all optics or only new optic.

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Fig. 8
Fig. 8 Empirical cumulative density plot (CDF) of DIM for WFL installed as a function of year installed on NIF (left) and a function of whether the polarization state of the beam its rotated (PR) or not (No PR) (right).

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Fig. 9
Fig. 9 Color map of contrast-optimized DIM (optDIM) of AMP WFL as a function of the beamline it is on and the time (in months).

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Tables (2)

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Table 1 Parameters and Example of Features Collected in OPT

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Table 2 Damage Performance Accuracy

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Equations (3)

Equations on this page are rendered with MathJax. Learn more.

N i n i t = A ⋅ ∫ ρ ( ϕ ) ⋅ f ( ϕ ) ⋅ d ϕ ,
D n ( ϕ ) = D n − 1 ⋅ e α ( ϕ ) ,
g ( α ; λ , k ) = k λ ( α λ ) k − 1 exp ( − ( α λ ) k ) ,
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