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\section{MT inversion: 2D TE Mode}\label{sec:forward 2DMT TEMode} 
\section{MT inversion: 2D TE Mode}\label{sec:forward 2DMT TEMode} 
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In this section we present the forward model for the magnetotelluric (MT)\index{magnetotelluric}\index{MT}inversion case~\cite{ChaveJones2012a} 
In this section we present the forward model for the magnetotelluric (MT)\index{magnetotelluric}\index{MT}inversion case~\cite{chave2012magnetotelluric} 
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where we particularly looking into the twodimensional case of the electrical field polarization\index{electrical field polarization}. 
where we particularly looking into the twodimensional case of the electrical field polarization\index{electrical field polarization}. 
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For this case the horizontal electrical field $E_x$\index{electrical field} and the magnetic field $H_y$\index{magnetic field} component 
For this case the horizontal electrical field $E_x$\index{electrical field} and the magnetic field $H_y$\index{magnetic field} component 
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for a given frequency $\omega$ are measured and the horizontal impedance $Z_{xy}$\index{impedance} is recorded as the ratio of 
for a given frequency $\omega$ are measured and the horizontal impedance $Z_{xy}$\index{impedance} is recorded as the ratio of 