Simulation of mirror electron microscopy caustic images in three-dimensions

A full, three{dimensional (3D) ray tracing approach is developed to simulate the caustics visible in mirror electron microscopy (MEM). The method reproduces MEM image contrast resulting from 3D surface relief. To illustrate the potential of the simulation methods we study the evolution of crater contrast associated with a movie of GaAs structures generated by the droplet epitaxy technique. Speci�cally, we simulate the image contrast resulting from both a precursor stage and the �nal crater morphology which is consistent with an inverted pyramid consisting of (111) facet walls. The method therefore facilities the study of how self{assembled quantum structures evolve with time and, in particular, the development of anisotropic features including faceting