Extrapolation of small area test of laser induced damage to large area test

Due to the limits of experimental conditions the laser damage test is confined to small area sample. By small area damage test, some characteristics of the material can be obtained in qualitative. But the test result of the small area damage testing cannot represent the performance of the material illuminated by large scale high power laser whose typical scale is usually more than 250mm in diameter. Statistical approach is an important method to extrapolate the data of small area test to predict large area performance to create the damage probability curve of large scale illuminated material. In this article, we represent a revised statistical representation of the damage probability which can be more useful to do the extrapolation. A simulation based on the Monte Carlo method is also given to simulate the accuracy and reliability of the extrapolation results.