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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 3 — Mar. 1, 1983
  • pp: 282–302

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

Kurt Edmund Oughstun  »View Author Affiliations

JOSA, Vol. 73, Issue 3, pp. 282-302 (1983)

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The results of a numerical study of both the passive and the active mode-structure properties and far-field behavior of a linear, positive-branch, confocal unstable resonator with a large equivalent Fresnel number in the ideal unaberrated, intracavity phase-aberrated, and intracavity phase-corrected states are presented. A simple, saturable, gain-medium model of a homogeneously broadened CO2–electron-beam discharge laser system is employed in the active cavity study. The active cavity results presented here show that, at least for the level of gain saturation considered, the passive cavity theory of phase-aberration sensitivity remains applicable in this more-physical situation. Furthermore, the ideal correction to phase-tilt and curvature aberrations, derived from passive cavity considerations, remains exact in the presence of saturable gain. Finally, the influence of a multidithered, zonal deformable mirror on the cavity-mode structure and far-field behavior is analyzed in order to account for recent expe imental tests of the intracavity adaptive optics concept.

© 1983 Optical Society of America

Kurt Edmund Oughstun, "Intracavity adaptive optic compensation of phase aberrations. III: Passive and active cavity study for a large Neq resonator," J. Opt. Soc. Am. 73, 282-302 (1983)

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  1. K. E. Oughstun, "Intracavity adaptive optic compensation of phase aberrations. I: Analysis," J. Opt. Soc. Am. 71, 862–872 (1981).
  2. K. E. Oughstun, "Intracavity adaptive optic compensation of phase aberrations." II: Passive cavity study for a small Neq resonator," J. Opt. Soc. Am. 71, 1180–1192 (1981).
  3. J. M. Spinhirne, D. Anafi, R. Freeman, and H. R. Garcia, "Intracavity adaptive optics. 1: Astigmatism correction performance," Appl. Opt. 20, 976–984 (1981).
  4. D. Anafi, J. M. Spinhirne, R. H. Freeman, and K. E. Oughstun, "Intracavity adaptive optics. 2: Tilt correction performance," Appl. Opt. 20,1926–1932 (1981).
  5. E. A. Sziklas and A. E. Siegman, "Mode calculations in unstable resonators with flowing saturable gain. 2: Fast Fourier transform method," Appl. Opt. 14, 1874–1889 (1975).
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  7. Yu. A. Anan'ev, "Unstable resonators and their applications (review)," Sov. J. Quantum Electron. 1, 565–586 (1972).
  8. V. E. Sherstobitov and G. N. Vinokurov, "Properties of unstable resonators with large equivalent Fresnel numbers," Sov. J. Quantum Electron. 2, 224–229 (1972).
  9. Yu. A. Anan'ev, "Establishment of oscillations in unstable resonators," Sov. J. Quantum Electron. 5, 615–617 (1975).
  10. K. E. Oughstun, K. A. Bush, and P. A. Slaymaker, "Transverse mode structure properties in off-axis ring resonators," J. Opt. Soc. Am. 71, 1598 (A) (1981).
  11. A. Maitland and M. H. Dunn, Laser Physics (North-Holland, Amsterdam, 1969), Chap. 8.
  12. G. P. Agrawal and M. Lax, "Effects of interference on gain saturation in laser resonators," J. Opt. Soc. Am. 69, 1717–1719 (1979).
  13. M. Born and E. Wolf, Principles of Optics, 5th ed. (Pergamon, London, 1975).
  14. K. E. Oughstun, "Theory of intracavity adaptive optic mode control," Proc. Soc. Photo-Opt. Instrum. Eng. 365 (to be published).
  15. The interior volume of an unstable cavity is indicated by the region a in Fig. 2 of A. E. Siegman, "Orthogonality properties of optical resonator eigenmodes," Opt. Commun. 31, 369–373 (1979).
  16. Yu. A. Anan'ev and V. E. Sherstobitov, "Influences of the edge effects on the properties of unstable resonators," Sov. J. Quantum Electron. 1, 263–267 (1971).
  17. K. E. Oughstun, "Intracavity compensation of quadratic phase aberrations," J. Opt. Soc. Am. 72, 1529–1537 (1982).
  18. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, S9.6, Vol. 55 of National Bureau of Standards Applied Mathematics Series (U.S. Government Printing Office, Washington, D.C., 1972).

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