scholarly journals Self-Consistent Solution of the Multi Band Boltzmann, Poisson and Hole-Continuity Equations

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 257-260
Author(s):  
Surinder P. Singh ◽  
Neil Goldsman ◽  
Isaak D. Mayergoyz
Keyword(s):  
Boltzmann Transport Equation ◽  
The Novel ◽  
Boltzmann Transport ◽  
One Dimensional ◽  
Bipolar Junction Transistor ◽  
Continuity Equations ◽  
The Poisson Equation ◽  
Curvilinear Grid ◽  
Consistent Solution ◽  
Junction Transistor

The Boltzmann transport equation (BTE) for multiple bands is solved by the spherical harmonic approach. The distribution function is obtained for energies greater than 3 eV. The BTE is solved self consistently with the Poisson equation for a one dimensional npn bipolar junction transistor (BJT). The novel features are: the use of boundary fitted curvilinear grid, and Scharfetter Gummel type discretization of the BTE.

scholarly journals A New Self-Consistent 2D Device Simulator Based on Deterministic Solution of the Boltzmann, Poisson and Hole-Continuity Equations

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 251-256 ◽  
Author(s):  
Wenchao Liang ◽  
Neil Goldsman ◽  
Isaak Mayergoyz
Keyword(s):  
Continuity Equation ◽  
Hole Concentration ◽  
Boltzmann Transport Equation ◽  
Expansion Method ◽  
Boltzmann Transport ◽  
Continuity Equations ◽  
The Poisson Equation ◽  
Self Consistent ◽  
Deterministic Solution ◽  
Hole Current

LDD MOSFET simulation is performed by directly solving the Boltzmann Transport Equation for electrons, the Hole-Current Continuity Equation and the Poisson Equation self-consistently. The spherical harmonic expansion method is employed along with a new Scharfetter-Gummel like discretization of the Boltzmann equation. The solution efficiently provides the distribution function, electrostatic potential, and the hole concentration for the entire 2-D MOSFET.

scholarly journals A Photoplethysmography Melanin Evaluation System by Modified Boltzmann Transport Equation (BTE)

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Sheng-Chieh Huang ◽  
Hui-Min Wang ◽  
Shi-Han Luo
Keyword(s):  
Human Tissue ◽  
Evaluation System ◽  
Medical Technology ◽  
Boltzmann Transport Equation ◽  
The Novel ◽  
Boltzmann Transport ◽  
Medical Treatments ◽  
Skin Whitening ◽  
Medical Clinics ◽  
Evaluation Platform

With the advance in cosmetic medical technology in recent years, more and more people get cosmetic medical treatments, especially skin whitening treatments. Nevertheless, people usually assess the effect of skin whitening products by vision, which is subjective and will be different from each person. To acquire the value of melanin concentration objectively, people need to go to cosmetic medical clinics. This will cause inconvenience to people. This paper develops a novel evaluation platform based on optical assessment methods, which employ different absorption and scattering properties to different wavelengths of light in human tissue to obtain melanin concentration. Moreover, this paper proposes a new method that compensates the interaction between epidermis and dermis to acquire the melanin concentration more accurately. The novel platform designed in this paper is smaller and consumes lower-power and smaller when comparing to other conventional devices in market.

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