In this paper, we have defined the free boundary formulation for two extended Blasius problems. These problems are of interest in layer theory and deduced from governing partial differential equations by using appropriate similarity variables. The computed results, so-called missing initial condition, favorably compared with recent results available literature.

We demonstrate a two-grating free electron Mach-Zehnder interferometer constructed in transmission microscope. A symmetric binary phase grating and condenser lens system form two spatially separated, focused probes at the sample which can be scanned while maintaining alignment. The paths interfere second grating, creating constructive or destructive interference output beams. This has many nota...