Modeling the Bimodal Behavior of Self-Repairing Optical Window Systems Prone to Brittle Failure

Using an exact solution for transient state population of a three-stage absorbing Markov chain the problem ofmodeling the bimodal behavior of three window materials represented as some self-repairing optical systemsprone to brittle failure is considered quantitatively. It is shown that simulated maximum failure probabilitydensity distributions can well describe the experimental data of biaxial tests on OFG, CVD-ZnSe and a-planesapphire ceramics. The conclusion is made that the competitive advantage of these materials grows in proportionto their distribution widths.