Monte Carlo method for Dirichlet boundary condition of multi-media field

At present Monte Carlo method is widely used in nuclear science, statistical physics, medicine, materials science, economics and other disciplines, However, it is lagging behind in calculating of the electromagnetic field, especially for multi-media field. There are two kinds of Monte Carlo methods, one is fixed random walk, the other is floating random walk. This paper mainly introduces the application of the two kinds of Monte Carlo method for multi-media field two-dimensional Dirichlet boundary condition, and compare to the two kinds of methods by an example.