Higher certainty of the laser-induced damage threshold test with a redistributing data treatment

Abstract

As a consequence of its statistical nature, the measurement of the laser-induced damage threshold holds always risks to over- or underestimate the real threshold value. As one of the established measurement procedures, the results of S-on-1 (and 1-on-1) tests outlined in the corresponding ISO standard 21 254 depend on the amount of data points and their distribution over the fluence scale. With the limited space on a test sample as well as the requirements on test site separation and beam sizes, the amount of data from one test is restricted. This paper reports on a way to treat damage test data in order to reduce the statistical error and therefore measurement uncertainty. Three simple assumptions allow for the assignment of one data point to multiple data bins and therefore virtually increase the available data base.

Crystallization behavior of ion beam sputtered HfO2 thin films and its effect on the laser-induced damage threshold

“…At least 150 sites were irradiated with appropriately chosen laser fluences. We performed the well-known but non-ISO conform test data reduction according to Jensen et al [28] to improve the data quality in the relevant regime.…”

“…The cumulative test method [28] assumes that if an experiment with any fluence of Q' > Q and N min pulses damage would also have been observed.…”

Effects of deep wet etching in HF/HNO_3 and KOH solutions on the laser damage resistance and surface quality of fused silica optics at 351 nm

“…Laser damage tests performed on the samples B1, B2 and B3 allow assessing the laser damage probability of scratches. The test protocol is described in the paragraph 2.4 and we used the data treatment explained by Jensen et al [32] to calculate the probabilities. This data treatment assumes that an undamaged test site would have also survived when irradiated at lower fluence and a damaged test site would have also been damaged when irradiated at higher fluence.…”

Effect of annealing on the laser induced damage of polished and CO2 laser-processed fused silica surfaces

“…By repeating this test to several sites (typically 5 per fluence), we were able to obtain the laser damage probability for one crater type. Eventually, because the test surface area was limited, we have applied the data treatment procedure described by Jensen et al 37 to reduce the statistical error and therefore measurement uncertainty. Calculation of error bars is based on Ref.…”