Combining one stable resonator with a concave mirror and a coupling-ho
le plane mirror, and another unstable resonator having a concave mirro
r and a convex mirror, a new hybrid optical resonator type laser has b
een proposed by overlapping the concave mirror as a common one and fit
ting the convex mirror exactly to the coupling-hole. Using the ABCD la
w, the so-called g-parameters are first found for beam confinement. Th
en, based on the eigen-equation, the field distribution on the piano-c
onvex mirror is obtained with the g-parameters above. Knowing this fie
ld distribution results in an effective transmittance I-e. Finally, th
e ratio of the inner convex to outer plane mirror radii can be determi
ned for an optimum coupling in both the limiting cases of homogeneousl
y and inhomogeneously broadened gain media. Some numerical examples wi
ll also be given for a CO2 laser having the proposed hybrid resonator.