Higher-order modes of phase conjugate resonators

A numerical analysis based on the Prony algorithm was carried out to find the higher-order modes of phaseconjugate optical resonators with hard-edged apertures. The mode patterns are nearly Hermite-Gaussianseven for unstable resonator configurations. This indicates that there is not a phase conjugate analog of conventionalunstable resonators. The eigenvalues and the extent to which the phase fronts match the surfaceof the conventional mirror were also calculated for a variety of resonator parameters. When there is one limitingaperture in the resonator and all others (including the phase conjugating mirror) can be considered asunbound, the eigenvalues and phase matching parameter are scalable by the ratio giN, where N is the Fresnelnumber of the aperture and g = 1 - LIR as in conventional resonator theory.