Y. Dikmelik et al., Plane-wave dynamics of optical parametric oscillation with simultaneous sum-frequency generation, IEEE J Q EL, 35(6), 1999, pp. 897-912
This paper presents a theoretical analysis of sum-frequency generating opti
cal parametric oscillators where a single nonlinear crystal is used for bot
h parametric generation and sum-frequency generation, In these devices, the
parametric and sum-frequency generation processes are both phase matched f
or the same direction of propagation inside the crystal. Different polariza
tion geometries for which this simultaneous phase-matching condition can po
tentially be satisfied are identified and categorized, for both birefringen
t and quasi-phase-matching methods, Plane-wave coupled-mode equations are p
resented for each of these categories. Solutions of these coupled mode equa
tions and calculation of the single-pass saturated signal gain are outlined
.. Intracavity signal photon flux density calculations based on these solut
ions lead to stable steady-state upconversion, multistability, and chaos, T
he dependence of the photon conversion efficiency on various design paramet
ers are investigated.