deletions | additions       diff --git a/section_Four_wave_mixing_Bragg__.tex b/section_Four_wave_mixing_Bragg__.tex  index 84984f9..c4b2c35 100644  --- a/section_Four_wave_mixing_Bragg__.tex  +++ b/section_Four_wave_mixing_Bragg__.tex 
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The phasematching now reads $$ \kappa = ... $$  and simplifies to   $$ \label{eq:ph}  \kappa = \beta^{(3)}/6 \left[ 3 \delta\omega \epsilon (\epsilon-2\Delta\Omega) \right ]+ .. $$   
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In the approximation $\Delta\Omega \gg \Delta\omega \gg \epsilon$ we obtain a simpler expression for the process momentum conservation  $$ \kappa(\epsilon) * L = $$  in which we can identify the process acceptance-bandwidth $\delta\omega_{bs}$, and the frequency separation from symmetric point $\delta\epsilon = \frac{\beta^{(4)}}{3 \beta^{(3)}} \Delta\Omega^2$ due to higher-order dispersion \cite{Provo_2010}.  One prominent feature of FWM-BS, already noticed in [Inoue94,Marhic96] is highlighted by equation (2), \ref{eq:ph},  that is translation for any given pair of signal and idler frequency can be exacly phasematched by choosing the appropriate pumps: this gives the flexibility of tuning the parameters of the interaction without the modifing the dispersion of the nonlinear medium.