TU-AB-BRC-01: Spherical Harmonic Based Finite Element Method (SHFEM): A New Angular Discretization of Linear Boltzmann Transport Equation for Accurate Dose Calculation

2016 ◽  
Vol 43 (6Part32) ◽  
pp. 3729-3730
Author(s):  
X Hong ◽  
G Chen ◽  
H Gao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transport Equation ◽  
Spherical Harmonic ◽  
Boltzmann Transport Equation ◽  
Dose Calculation ◽  
Boltzmann Transport ◽  
Accurate Dose ◽  
Angular Discretization ◽  
Element Method

The Inner-Element Subgrid Scale Finite Element Method for the Boltzmann Transport Equation

2010 ◽  
Vol 164 (2) ◽  
pp. 105-121 ◽  
Author(s):  
Andrew G. Buchan ◽  
Adam S. Candy ◽  
Simon R. Merton ◽  
Christopher C. Pain ◽  
Justin I. Hadi ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transport Equation ◽  
Boltzmann Transport Equation ◽  
Subgrid Scale ◽  
Boltzmann Transport ◽  
Element Method

scholarly journals Spherical Harmonic Modeling of a 0.05 μm Base BJT: A Comparison with Monte Carlo and Asymptotic Analysis

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 147-151 ◽  
Author(s):  
C.-H. Chang ◽  
C.-K. Lin ◽  
N. Goldsman ◽  
I. D. Mayergoyz
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Band Structure ◽  
Asymptotic Analysis ◽  
Energy Distribution ◽  
Transport Equation ◽  
Spherical Harmonic ◽  
Boltzmann Transport Equation ◽  
System Of Equations ◽  
Boltzmann Transport

We perform a rigorous comparison between the Spherical Harmonic (SH) and Monte Carlo (MC) methods of solving the Boltzmann Transport Equation (BTE), on a 0.05 μm base BJT. We find the SH and the MC methods give very similar results for the energy distribution function, using an analytical band-structure, at all points within the tested devices. However, the SH method can be as much as seven thousand times faster than the MC approach for solving an identical problem. We explain the agreement by asymptotic analysis of the system of equations generated by the SH expansion of the BTE.

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