# Simultaneous Potential and Circuit Solution for Bounded Plasma Particle Simulation Codes

### J.P. Verboncoeur, M.V. Alves and V. Vahedi

###
EECS Department

University of California, Berkeley

Technical Report No. UCB/ERL M90/67

1990

### http://www.eecs.berkeley.edu/Pubs/TechRpts/1990/ERL-90-67.pdf

A second-order accurate method for solving the combined potential and circuit equations in an electrostatic bounded plasma PIC simulation is presented. The boundary conditions include surface charge on the electrodes, which are connected to a series RLC circuit with driving terms V(t) and I(t). The solution is obtained for planar, cylindrical, and spherical electrodes. The result is a tridiagonal matrix which is readily solved using well-known methods. The method is implemented in the codes PDP1 (Plasma Device Planar 1D), PDC1 (Cylindrical), and PDS1 (Spherical).

BibTeX citation:

@techreport{Verboncoeur:M90/67, Author = {Verboncoeur, J.P. and Alves, M.V. and Vahedi, V.}, Title = {Simultaneous Potential and Circuit Solution for Bounded Plasma Particle Simulation Codes}, Institution = {EECS Department, University of California, Berkeley}, Year = {1990}, URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1990/1539.html}, Number = {UCB/ERL M90/67}, Abstract = {A second-order accurate method for solving the combined potential and circuit equations in an electrostatic bounded plasma PIC simulation is presented. The boundary conditions include surface charge on the electrodes, which are connected to a series RLC circuit with driving terms V(t) and I(t). The solution is obtained for planar, cylindrical, and spherical electrodes. The result is a tridiagonal matrix which is readily solved using well-known methods. The method is implemented in the codes PDP1 (Plasma Device Planar 1D), PDC1 (Cylindrical), and PDS1 (Spherical).} }

EndNote citation:

%0 Report %A Verboncoeur, J.P. %A Alves, M.V. %A Vahedi, V. %T Simultaneous Potential and Circuit Solution for Bounded Plasma Particle Simulation Codes %I EECS Department, University of California, Berkeley %D 1990 %@ UCB/ERL M90/67 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1990/1539.html %F Verboncoeur:M90/67