File:Difference voigt pseudo-voigt.png

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Summary[edit]

Français : Différence entre une fonction de Voigt et une pseudo-fonction de Voigt, pour un écart quadratique minimal (η = 0,834)

English: Difference between a Voigt function and a pseudo-Voigt function, for the minimal quadratic difference (η = 0.834)

Auteur/author : Christophe Dang Ngoc Chan (cdang)

Réalisé avec/made with : Scilab

clear;clf;

// Loi normale centrée réduite

deff('y=gauss(x)','y=1/(sqrt(2*%pi))*exp(-x^2/2)')

// Fonction de Lorentz

deff('y=lor(x)','y=1/(2*%pi*(0.25+x^2))')

// Intervalle d'étude

pas=0.01;
X=[-3:pas:3]';
X1=[-3:pas/2:3]';
NX1=size(X1);nx1=NX1(1,1);

// Fonctions de Voigt

G=feval(X1,gauss);G1=feval(X,gauss);
L=feval(X1,lor);L1=feval(X,lor);

V=convol(G1,L1);
S=0;
for i=1:nx1
   S=S+V(i)*pas/2;
end
V=1/S*V;

eta=0.834;
PV=eta*L+(1-eta)*G;

plot2d(X1,[V',PV,V'-PV],style=[1,2,3],leg='fonction de Voigt@pseudo-fonction de Voigt, eta=0,834@différence')
xtitle(' ','x','y')
axe=get('current_axes');
axe.x_location='middle';axe.y_location='middle';

Licensing[edit]

GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Date/TimeThumbnailDimensionsUserComment
current15:06, 9 December 2005Thumbnail for version as of 15:06, 9 December 2005610 × 461 (4 KB)Cdang (talk | contribs)Différence entre une fonction de Voigt et une pseudo-fonction de Voigt, pourun écart quadratique minimal (η = 0,834) ---- Difference between a Voigt function and a pseudo-Voigt function, for the minimal quadratic difference (η = 0.834) Auteur/

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