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Alessandro Farsi edited section_Four_wave_mixing_Bragg__.tex
almost 8 years ago
Commit id: 0bbfb68017acf29552f59bffb055aed12ae0b5ab
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In the approximation $\Delta\Omega \gg \Delta\omega \gg \epsilon$ we obtain a simpler expression for the process momentum conservation
$$ \kappa(\epsilon) L \simeq \beta^{(3)} \Delta\omega \Delta\Omega \epsilon + \beta^{(4)}/24 (8\Delta\omega\Delta\Omega^3) = (\epsilon + \Delta\Omega)/\delta\omega_{bs}$$
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 \cite{Inoue_1994, Marhic_1996} is highlighted by equation \ref{eq:ph}, that is translation for any given pair of signal and idler frequency can be exactly phasematched by choosing the appropriate pumps: this gives the flexibility of tuning the parameters of the interaction without
the modifying the
dispersion of the nonlinear
medium. medium dispersion.