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Next: 1. Introduction Up: Dissertation Stephan Wagner Previous: List of Figures

List of Symbols and Acronyms

$ \mathbf{A}$ System matrix of a linear equation system
$ \tilde{\ensuremath{\mathbf{A}}}$ System matrix of the complete linear equation system
$ \ensuremath{\mathbf{A}}_i$ System matrix of the inner equation system
$ \ensuremath{\mathbf{A}}_{\mathrm{b}}$ System matrix of the boundary system
$ \ensuremath{\mathbf{A}}_{\mathrm{s}}$ System matrix of the segment system
BV $ _{\mathrm{CEO}}$ Collector breakdown voltage
$ \beta_n$ Electron kurtosis
$ \beta_p$ Hole kurtosis
$ \mathbf{b}$ Right-hand-side vector of a linear equation system
$ \tilde{\ensuremath{\mathbf{b}}}$ Right-hand-side vector of the complete linear equation system
$ \ensuremath{\mathbf{b}}_i$ Right-hand-side vector of the inner equation system
$ b_{\mathrm{avg}}$ Average bandwidth
$ \underline{\ensuremath{\mathbf{b}}}$ Complex-valued right-hand-side vector of the small-signal system
$ \mathbf{b_\mathrm{I}}$ Imaginary part of the complex-valued right hand side vector
$ \mathbf{b_\mathrm{R}}$ Real part of the complex-valued right-hand-side vector
$ \ensuremath{\mathbf{b}}_{\mathrm{b}}$ Right-hand-side vector of the boundary system
$ \ensuremath{\mathbf{b}}_{\mathrm{s}}$ Right-hand-side vector of the segment system
$ c_{\mathrm{L}}$ Heat capacity
$ C_{ij}$ Capacitance between ports $ i$ and $ j$
$ D_n$ Electron diffusion coefficient
$ f_\mathrm{max}$ Maximum oscillation frequency
$ f_\textrm {T}$ Cut-off or transit frequency
$ f_\mathrm{op}$ Operating frequency
$ F_{x_{i,j}}$ Flux between points $ i$ and $ j$
$ g_\mathrm{m}$ Matched gain
$ G_i$ Source term
$ i_{\mathrm{B}}$ Base Current
$ i_{\mathrm{C}}$ Collector Current
$ \mathbf{J}$ Jacobian matrix
$ J_\mathrm{C}$ Density of the collector current
$ \kappa_{\mathrm{L}}$ Thermal conductivity
$ \ensuremath{\kappa_{\mathrm{s}}}$ Spectral condition number
$ \mathrm{k_B}$ Boltzmann's constant
$ \mathbf{L}$ Lower triangular matrix
$ L_\mathrm{g}$ Gate Length
$ \lambda_\mathrm{min }$ Smallest eigenvalue
$ \lambda_\mathrm{max }$ Largest eigenvalue
$ \mu_n$ Electron mobility
$ \mu_p$ Hole mobility
$ \mathbf{M}$ Preconditioner
$ n$ Dimension of a linear equation system
$ n$ Electron concentration
$ P_\mathrm{IN}$ Input power
$ P_\mathrm{OUT}$ Output power
$ \psi$ Electrostatic potential
$ \psi_\mathrm{C}$ Contact potential
$ p$ Hole concentration
$ \mathrm{q}$ Elementary charge
$ \rho$ Space charge density
$ \rho_{\mathrm{L}}$ Mass density
$ R$ Recombination rate
$ \sigma_n$ Electron conductivity
$ \sigma_p$ Hole conductivity
$ \ensuremath{\mathbf{S}}_{\mathrm{c}}$ Scaling vector (diagonal matrix) for columns
$ \ensuremath{\mathbf{S}}_{\mathrm{r}}$ Scaling vector (diagonal matrix) for rows
$ \ensuremath{\mathbf{T}}_{\mathrm{b}}$ Transformation matrix of boundary conditions
$ \ensuremath{\mathbf{T}}_{\mathrm{v}}$ Transformation matrix of variables
$ T_{\mathrm{L}}$ Lattice temperature
$ T_n$ Electron temperature
$ T_p$ Hole temperature
$ \mathbf{U}$ Upper triangular matrix
$ \mathbf{v}$ Variable vector
V Velocity
V $ _\mathrm{sat}$ Saturation velocity
$ V_\mathrm{CE}$ Collector Emitter Voltage
$ V_\mathrm{DS}$ Drain Source Voltage
$ V_\mathrm{GS}$ Gate Source Voltage
$ W_\mathrm{g}$ Gate Width
$ \mathbf{x}$ Solution vector of a linear equation system
$ \tilde{\ensuremath{\mathbf{x}}}$ Solution vector of the complete linear equation system
$ \ensuremath{\mathbf{b}}_i$ Solution of the inner equation system
$ \underline{\ensuremath{\mathbf{x}}}$ Complex-valued solution vector of the small-signal system
$ \mathbf{x_\mathrm{I}}$ Imaginary part of the complex-valued solution vector
$ \mathbf{x_\mathrm{R}}$ Real part of the complex-valued solution vector
$ \mathbf{y}$ Forward substitution vector
AC Alternating current
ACML AMD Core Math Library
AlAs Aluminum Arsenide
A-parameter/matrix Chain parameter/matrix (also ABCD)
ADS Advanced Design System
AINV Approximate Inverse (Preconditioner)
AIX Advanced Interactive eXecutive
AMG Algebraic Multi-Grid
AM Amplitude Modulation
AMD Advanced Micro Devices
API Application Programming Interface
ARPACK Arnoldi Package
ASCII American Standard Code for Information Interchange
ATLAS Automatically Tuned Linear Algebra Software
BICG Bi-Conjugate Gradient
BICGSTAB Bi-Conjugate Gradients Stabilized
BICMOS Bipolar Complementary Metal Oxide Semiconductor
BJT Bipolar Junction Transistor
BLAS Basic Linear Algebra Subprograms
BSIM Berkeley Short-Channel IGFET Model
CB Consumer Band
CGS Conjugate Gradient Squared
CG Conjugate Gradient
CMOS Complementary Metal Oxide Semiconductor
CPU Central Processing Unit
CSR Compressed Sparse Row
CVS Concurrent Version System
CV Capacitance (C) - Voltage (V) plot
DC Direct current
DANSYS Distributed ANSYS
DESSIS Device Simulation for Smart Integrated Systems
EAS Equation Assembly System
EISPACK Eigensolver Package
ESSL Engineering and Scientific Subroutine Library
FEDOS Finite Element Diffusion and Oxidation Simulator
FET Field Effect Transistor
FFT Fast Fourier Transformation
FM Frequency Modulation
FORTRAN Formula Translator
GaAs Gallium Arsenide
GaP Gallium Phosphide
Gb Gigabit
GB Gigabyte
GHz Gigahertz
GMRES Generalized Minimal Residual
GNU GNU's not Unix
GUI Graphical User Interface
HBT Heterojunction Bipolar Transistor
HEMT High Electron Mobility Transistor
HF High Frequency
H-parameter/matrix Hybrid parameter/matrix
HPF High Performance Fortran
HSL Harwell Subroutine Library
IGFET Insulated Gate Field Effect Transistor
IBM International Business Machines
IEEE Institute of Electrical and Electronics Engineers
IISS Intelligent Iterative Solver Service
ILU Incomplete LU-factorization
IMSL International Mathematical and Statistical Library
InAs Indium Arsenide
InGaP Indium Gallium Phosphide
InP Indium Phosphide
IPL input-deck programming language
IR Infrared
ISE Integrated Systems Engineering
IV Current (I) - Voltage (V) plot
LF Low Frequency
LINPACK Linear Package
MAG Maximum Available Gain
MCSC Modified Compressed Sparse Column
MCSR Modified Compressed Sparse Row
MDI Multiple Document Interface
MESFET Metal Semiconductor Field Effect Transistor
MF Middle Frequency
MHz Megahertz
MODFET Modulation-Doped Field Effect Transistor
MOS Metal Oxide Semiconductor
MOSFET Metal Oxide Semiconductor Field Effect Transistor
MPI Message Passing Interfaces
MSG Maximum Stable Gain
MUMPS Multifrontal Massively Parallel Sparse Direct Solver
NAG Numerical Algorithms Group
NaN Not a Number
OPENMP Open Multi Processing
PARDISO Parallel Direct Solver
PSBLAS Parallel Sparse Basic Linear Algebra Subroutines
PVM Parallel Virtual Machines
RFIC Radio Frequency Integrated Circuits
RF Radio Frequency
SAMG Algebraic Multi-Grid Methods for Systems
SEILIB Simulation Environment Interaction Library
SIESTA Simulation Environment for Semiconductor Technology Analysis
SiC Silicon Carbide
SiGe Silicon Germanium
SMP Shared Memory Parallelization
SOI Silicon-On-Insulator
SOR Successive Over-Relaxation
SPAI Sparse Approximate Inverse Preconditioner
S-parameter/matrix Scattering parameter
SPICE Simulation Program with Integrated Circuit Emphasis
STL Standard Template Library
SSOR Symmetric Successive Over-Relaxation
$ {\textrm{S}^3\textrm{A}}$ Sinusoidal Steady-State Analysis
TCAD Technology Computer Aided Design
UHF Ultra High Frequency
UMFPACK Unsymmetric Multi-Frontal Package
VBIC95 Vertical Bipolar Inter-Company Model 1995
VHF Very High Frequency
VTK Visualization Toolkit
WSMP Watson Sparse Matrix Package
Y-parameter/matrix Admittance parameter/matrix
Z-parameter/matrix Impedance parameter/matrix


next up previous contents
Next: 1. Introduction Up: Dissertation Stephan Wagner Previous: List of Figures

S. Wagner: Small-Signal Device and Circuit Simulation