Abstract
We derive self-contained, analytic expressions for the emitted Stokes and pump powers from a low-power, cw Raman laser. In addition to facilitating the physical understanding of these systems, the expressions lead to the conditions for laser threshold and impedance matching. Moreover, they provide the starting point for optimizing the device efficiency with respect to input pump power, mirror transmissions, two-photon detuning, and cavity geometry. We obtain simple, analytic expressions for the optimization conditions while retaining sufficient generality to include asymmetric mirror coatings as well as absorptions. These mathematical guidelines are balanced with practical issues to yield the most advantageous system operation parameters.
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