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Sourcecode: octave-secs2d version File versions  Download package

Uscaling.m

function [odata,omesh] = Uscaling(imesh,idata);

% [odata,omesh] = Uscaling(imesh,idata);

% This file is part of 
%
%            SECS2D - A 2-D Drift--Diffusion Semiconductor Device Simulator
%         -------------------------------------------------------------------
%            Copyright (C) 2004-2006  Carlo de Falco
%
%
%
%  SECS2D is free software; you can redistribute it and/or modify
%  it under the terms of the GNU General Public License as published by
%  the Free Software Foundation; either version 2 of the License, or
%  (at your option) any later version.
%
%  SECS2D is distributed in the hope that it will be useful,
%  but WITHOUT ANY WARRANTY; without even the implied warranty of
%  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%  GNU General Public License for more details.
%
%  You should have received a copy of the GNU General Public License
%  along with SECS2D; If not, see <http://www.gnu.org/licenses/>.

load (file_in_path(path,'constants.mat'));

omesh      = imesh;
odata      = idata;

% scaling factors
odata.xs   = max(abs([max(imesh.p(1,:))-min(imesh.p(1,:)),max(imesh.p(2,:))-min(imesh.p(2,:))]));
odata.Vs   = Vth;
odata.ns   = norm(idata.D,inf);
odata.us   = un;
odata.ts   = (odata.xs^2)/(odata.Vs*odata.us);
odata.Ts   = T0;
odata.kappas     = odata.Vs^2*q*odata.us*odata.ns/odata.Ts;
                             
% adimensional constants
odata.etan2 = hbar^2 / (2*mndos*odata.xs^2*q*odata.Vs);

% 3-valley masses
odata.etanxx2 = hbar^2 / (2*mnl*odata.xs^2*q*odata.Vs);
odata.etanxy2 = hbar^2 / (2*mnt*odata.xs^2*q*odata.Vs);

odata.etanyx2 = hbar^2 / (2*mnt*odata.xs^2*q*odata.Vs);
odata.etanyy2 = hbar^2 / (2*mnl*odata.xs^2*q*odata.Vs);

odata.etanzx2 = hbar^2 / (2*mnt*odata.xs^2*q*odata.Vs);
odata.etanzy2 = hbar^2 / (2*mnt*odata.xs^2*q*odata.Vs);


odata.etap2 = hbar^2 / (2*mhdos*odata.xs^2*q*odata.Vs);
odata.beta  = Vth/odata.Vs;
odata.dn2   = hbar^2 / (4*rn*mndos*odata.xs^2*q*odata.Vs);
odata.dp2   = hbar^2 / (4*rp*mhdos*odata.xs^2*q*odata.Vs);
odata.l2    = (odata.Vs*esi) / (odata.ns*odata.xs^2*q);
odata.l2ox  = (odata.Vs*esio2) / (odata.ns*odata.xs^2*q);

if (isfield(idata,'un'))    
    odata.un    = idata.un/odata.us;  
else
    odata.un    = un/odata.us;
end

if (isfield(idata,'up'))
    odata.up    = idata.up/odata.us;
else
    odata.up    = up/odata.us;
end

if (isfield(idata,'FDn'))    
    odata.FDn    = idata.FDn/odata.Vs;  
end
if (isfield(idata,'FDp'))    
    odata.FDp    = idata.FDp/odata.Vs;  
end

if (isfield(idata,'tn')) 
    odata.tn    = idata.tn/odata.ts;
else
    odata.tn    = tn/odata.ts;
end
if (isfield(idata,'tp')) 
    odata.tp    = idata.tp/odata.ts;
else
    odata.tp   = tp/odata.ts;
end
if (isfield(idata,'twn')) 
    odata.twn    = idata.twn/odata.ts;
else
    odata.twn    = twn/odata.ts;
end
if (isfield(idata,'twp')) 
    odata.twp    = idata.twp/odata.ts;
else
    odata.twp    = twp/odata.ts;
end

if (isfield(idata,'kappa')) 
  odata.kappa = idata.kappa /odata.kappas;
else
  odata.kappa = kappaSi/odata.kappas;
end

odata.ni    = ni/odata.ns;
if (isfield(idata,'n0')) 
  odata.n0 = idata.n0 /odata.ns;
  odata.p0 = idata.p0 /odata.ns;
else
  odata.n0 = ni /odata.ns;
  odata.p0 = ni /odata.ns;
end
odata.Nc    = Nc/odata.ns;
odata.Nv    = Nv/odata.ns;

odata.ei    = Egap/(2*q*odata.Vs) - log(Nv/Nc)/2; 
odata.eip   = Egap/(2*q*odata.Vs) + log(Nv/Nc)/2; 
odata.Egap  = Eg0/(q*odata.Vs);

odata.wn2   = 6*sqrt(mndos*2*Kb*T0/(pi*hbar^2))/(ni*odata.xs^2);

odata.vsatn     = vsatn * odata.xs / (odata.us * odata.Vs);
odata.vsatp     = vsatp * odata.xs / (odata.us * odata.Vs);
odata.mubn      = mubn;
odata.mubp      = mubp;
odata.mudopparn = [ mudopparn(1:3)/odata.us;
mudopparn(4:6)/odata.ns;
mudopparn(7:8) ];
odata.mudopparp = [ mudopparp(1:3)/odata.us;
mudopparp(4:6)/odata.ns;
mudopparp(7:8) ];

% 3-valley weights
odata.wnx2   = 2*sqrt(mnt*2*Kb*odata.Ts/(pi*hbar^2))/(ni*odata.xs^2);
odata.wny2   = odata.wnx2;
odata.wnz2   = 2*sqrt(mnl*2*Kb*odata.Ts/(pi*hbar^2))/(ni*odata.xs^2);

% 3-valley weights
odata.wnx2FD   = 2*sqrt(mnt*2*Kb*odata.Ts/(pi*hbar^2))/(odata.ns*odata.xs^2);
odata.wny2FD   = odata.wnx2FD;
odata.wnz2FD   = 2*sqrt(mnl*2*Kb*odata.Ts/(pi*hbar^2))/(odata.ns*odata.xs^2);

odata.mg    = Egap/(2*Kb*odata.Ts) - log(Nv/Nc)/2;


% scaled quantities
odata.D     = idata.D/odata.ns;
odata.n     = idata.n/odata.ns;
odata.p     = idata.p/odata.ns;
odata.Fn    = idata.Fn/odata.Vs-log(ni/odata.ns);
odata.Fp    = idata.Fp/odata.Vs+log(ni/odata.ns);
odata.V     = idata.V/odata.Vs;
if (isfield(idata,'G'))
    odata.G= idata.G/odata.Vs;
end
if (isfield(idata,'dt'))
    odata.dt= idata.dt/odata.ts;
end
if (isfield(idata,'Tl'))
    odata.Tl= idata.Tl/odata.Ts;
end
if (isfield(idata,'Tn'))
    odata.Tn= idata.Tn/odata.Ts;
end
if (isfield(idata,'Tp'))
    odata.Tp= idata.Tp/odata.Ts;
end


omesh.p     = imesh.p/odata.xs;



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