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diff --git a/utilities_LW/Analytical_1D.m b/utilities_LW/Analytical_1D.m
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+## Copyright (C) 2015 Loriane Weber
+## 
+## This program 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 3 of the License, or
+## (at your option) any later version.
+## 
+## This program 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 Octave; see the file COPYING.  If not, see
+## <http://www.gnu.org/licenses/>.
+
+## Analytical_1D
+
+## Author: Loriane Weber <lweber@gpid16a-1802>
+## Created: 2015-12-04
+
+%% delta : delta corresponding to the wire material
+%% u : abscisse, in um
+%% R : radius of the wire, in um
+%% u0 : wire center
+%% delta : coeff delta
+
+function [ Phi ] = Analytical_1D(delta, u, R, u0)
+
+if(isscalar(delta) && isscalar(u0) && isscalar(R))
+		Phi=zeros(size(u));
+		Phi=2*delta*real(sqrt(R^2-(u-u0).^2));
+else 
+	disp('delta, radius and center position should be scalars')
+end
+
+
+endfunction