Oscillation modes in a resonator with a self-pumped wavefront-reversing mirror

An investigation is made of the oscillation modes and natural frequencies of a resonator with a self-pumped wavefront-reversing mirror (SWM). An integral equation describing the transverse mode structure is derived for a resonator with an SWM and a Gaussian profile of the reflection coefficient. The parameters of the lowest oscillation mode are also found for this resonator. The advantages of a resonator with an SWM are identified and it is suggested that resonators of this kind may find extensive applications in systems for the formation of highly directional optical radiation.