We report the theoretical analysis of a tandem optical parametric osci
llator (TOPO) in which the principal OPO generates a signal which pump
s a secondary OPO, The signal produced by the principal OPO is resonat
ed in a high-Q cavity containing both nonlinear crystals, This cavity
also has low Q for the signal of the secondary OPO, The two OPO's are
singly resonant, since neither idler is resonated, We show that the us
eful output, consisting of the two idlers and the signal of the second
ary OPO, can be produced with high efficiency over a large dynamic ran
ge in the pump intensity. As an example, we discuss modeling in three
space dimensions of a Nd:YAG pumped monolithic TOPO based on periodica
lly poled LiNbO3. This TOPO could generate three infrared wavelengths
in high-transmission bands of atmospheric water vapor.