Efficient broadband sum and difference frequency generation with a single chirped quasi-phase-matching crystal

We propose an efficient broadband frequency generation technique for two collinear optical parametric processes $ω_3=ω_1+ω_2$ and $ω_4=ω_1-ω_2$. It exploits chirped quasi-phase-matched gratings, which in the undepleted pump approximation regime perform population transfer that is analogous to adiabatic population transfer in a three-state ``vee'' quantum system. The energy of the input fields is transferred adiabatically either into $ω_3$ or $ω_4$ field, depending on which of the two phase matchings occurs first by the local modulation period in the crystal. One can switch the output between $ω_3$ and $ω_4$ by inverting the direction of the local modulation sweep, which corresponds to a rotation of the crystal by angle $π$

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