Abstract

An exact diffraction integral formulation of the adaptive compensation of a quadratic phase aberration located within an unstable cavity is presented. The quadratic phase aberration, situated at a single transverse plane within the cavity, represents an arbitrary linear combination of tilt, defocus, cylinder, and astigmatism phase aberrations. An analysis of the coupling between these aberrations and their influence on the perturbed-cavity mode in a positive-branch, confocal unstable resonator is provided.

© 1982 Optical Society of America

Intracavity adaptive optic compensation of phase aberrations. I: Analysis

Kurt Edmund Oughstun
J. Opt. Soc. Am. 71(7) 862-872 (1981)

Intracavity adaptive optic compensation of phase aberrations. III: Passive and active cavity study for a large N_eq resonator

Kurt Edmund Oughstun
J. Opt. Soc. Am. 73(3) 282-302 (1983)

Intracavity adaptive optic compensation of phase aberrations. II: Passive cavity study for a small N_eq resonator

Kurt Edmund Oughstun
J. Opt. Soc. Am. 71(10) 1180-1192 (1981)

Aberration sensitivity of unstable-cavity geometries

Kurt Edmund Oughstun
J. Opt. Soc. Am. A 3(8) 1113-1141 (1986)

Second-order theory of the aberration sensitivity of a positive-branch, confocal unstable cavity

Kurt Edmund Oughstun
J. Opt. Soc. Am. A 3(11) 1876-1884 (1986)