Abstract

In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced chemical vapor deposition) processes, means the flow of species to a gas-phase, which are influenced by an electric field. Such a field we can model by wave equations. The main contributions are to improve the standard discretization schemes of each part of the coupling equation. So we discuss an improvement with implicit Runge- Kutta methods instead of the Yee’s algorithm. Further we balance the solver method between the Maxwell and Transport equation.

Highlights

  • In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields

  • Our motivation came to model PE-CVD processes, means the flow of species to a gas-phase, which are influenced by an electric field

  • We motivate our study by simulating thin film deposition processes that can be realized by PE-CVD processes, see [1,2]

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Summary

Introduction

We motivate our study by simulating thin film deposition processes that can be realized by PE-CVD (plasma enhanced chemical vapor deposition) processes, see [1,2]. We concentrate on the numerical modeling and simulation of electrical fields, which are coupled with transport equations. The method has its origin in the field of propagation of electromagnetic beams in atmosphere, where the multi-physics modeling was done on the assumption that “the continuous gain medium may be approximated by a series of gain sheets with free propagation between the sheets” [8,9]. As it will be shown later on, this method is a Strang-Marchuk operator splitting method [10,11]. At the end of this paper we introduce future works

FDTD Method
Improved Time Discretization Methods for Maxwell Equation
A 1 1
Discretization Methods of the Convection-Diffusion Equation
Splitting Methods to Couple Maxwell and Convection Diffusion Equation
Coupling Methods
Experiments
Test Experiment 1
Test experiment 2
Test Experiment 3
Conclusions

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