You should precise the reasons of your questions so as to answer you efficiently: do you plan to build a DRO (which temporal regime: cw, pulsed?) or do you just require general understanding of DRO operation? Apart from the practical technical conditions briefly summarized above, the physics of doubly-resonant parametric oscillator is quite complex and its implementation depends on the application (single-frequency outputs or not, etc...). DRO's are in principle very unstable in terms of longitudinal mode hopping behaviour and often require active cavity length stabilization. Their main practical (experimental) use are quantum optics investigations of the physics of twin beams (amplitude noise squeezing, photon entanglements...). For other applied physics applications (e.g. sources for mid-IR laser spectroscopy or other biomedical applications in the mid-IR) singly-resonant oscillators - either in the cw regime for high resolution or in the pulsed ns , ps of fs regime - are preferred for their intrinsic relative frequency stability and tuning behaviour.