Frequency domain analysis of the distribution function by small signal solution of the Boltzmann and Poisson equations

Author

Lin, C.-K. ; Goldsman, N. ; Han, Z. ; Mayergoyz, I. ; Yu, S. ; Stettler, M. ; Singh, S.

Author_Institution

Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA

fYear

1999

fDate

1999

Firstpage

39

Lastpage

42

Abstract

A method for solving the Boltzmann-Poisson system in the frequency domain has been developed. It is achieved by applying small signal analysis to the Spherical Harmonic expansion method of solving the Boltzmann equation. By solving this model in the frequency domain, we can investigate the frequency response of the entire momentum distribution function. A 0.05 μm base BJT simulation in the frequency domain gives the results of the small signal distribution function response over the entire device in 4 minutes CPU time on an Alpha workstation

Keywords

Boltzmann equation; Poisson equation; bipolar transistors; frequency response; frequency-domain analysis; harmonic analysis; semiconductor device models; 0.05 mum; Alpha workstation; BJT simulation; Boltzmann equation; Boltzmann-Poisson system; Poisson equation; distribution function; frequency domain analysis; frequency response; momentum distribution function; small signal solution; spherical harmonic expansion method; Boltzmann equation; Charge carrier processes; Distribution functions; Frequency domain analysis; Frequency response; Jacobian matrices; Mathematical model; Poisson equations; Taylor series; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Simulation of Semiconductor Processes and Devices, 1999. SISPAD '99. 1999 International Conference on

Conference_Location

Kyoto

Print_ISBN

4-930813-98-0

Type

conf

DOI

10.1109/SISPAD.1999.799254

Filename

799254