Image:Fonction voigt.png

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[edit] Summary

Fonction de Voigt : produit de convolution d'une gaussienne et d'une lorentzienne

Voigt lineshape: convolution product of a gaussian and a lorentzian function

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 lorentzienne

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);

Y1=feval(X,gauss);Y12=feval(X1,gauss);
Y2=feval(X,lor);Y22=feval(X1,lor);
Y3=convol(Y1,Y2);
S=0; // Normalisation de la surface à 1
for i=1:nx1
   S=S+Y3(i)*pas/2;
end

plot2d(X1,[Y12,Y22,1/S*Y3'],leg='gaussienne@lorentzienne@produit de convolution normalisé',style=[1,2,3])

[edit] Licensing

I, the copyright holder of this work, have published or hereby publish it under the following license: 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". Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/-

La page ci-dessous contient cette image :

• Fonction de Voigt