Patent ID: 8103492

Claim:
A computer method for simulating plasma density distribution within a plasma reactor that is responsive to a first variable having a first time basis and a second variable having a second time basis, wherein the first time basis is different from the second time basis the computer method comprising executing computer program codes according to a process comprising: approximating a steady state of a transient sheath behavior of a plasma occurring in the plasma reactor in response to the first variable, the approximating including: defining a model domain that is characteristic of the plasma reactor; determining a response function of a time dependent variable across the model domain with respect to the second time basis; constructing a probability function for the response function; randomly sampling the probability function; and transferring the random sampling into a spatial matrix representing the steady state; and performing, on the spatial matrix, a time-domain simulation of the transient plasma sheath behavior occurring in the plasma reactor in response to the first variable to arrive at a steady state plasma density distribution.