Effect of micro/nano-scale rough surface on the Quality Factor of the filter: Model and simulation

A model and simulation research about the effect of roughness in micro/nano-scale on filter inner surface was presented in this paper. The concept and the technical index and measurement method of the effective surface profile has been put forward. This roughness was simulated by an improved two-dimensional (2-D) fractal function to investigate its effect on the power dissipation of the seven-stage filter. After that, a formulation of the power dissipation based on this 2-D roughness model is built. The Quality Factor (QF), an important parameter to value the level of the power dissipation for the filter, was introduced in this system, and the formulation of the QF was deduced according to the influence of the roughness. As a check, a structure model of a seven-stage filter is built for simulation experience, and the values of the QF deduced by formulation and simulation were compared, and the results showed that the changing trend of these was accordant and following the increase of surface roughness, the value of QF would be decreased and the maximum of the decrease was 0.2 times than that of smooth inner surface.