Abstract

The analytical treatment of linear intracavity phase aberrations and their compensation by an appropriately configured intracavity adaptive optic element is presented in this paper. The approximate geometrical treatment of the effects of intracavity phase aberrations is first treated, followed by a complete exact diffraction integral formulation of the adaptive compensation of linear phase-tilt and phase-curvature aberrations. This new analysis yields the exact intracavity phase compensation for phase tilt, curvature-of-field, and astigmatism-phase aberrations in positive branch, confocal unstable resonator cavities.

© 1981 Optical Society of America

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  1. A. E. Siegman, "Modes in unstable optical resonators and lens waveguides," IEEE J. Quantum Electron. QE-3, 156–163 (1967).
  2. D. B. Rensch and A. N. Chester, "Iterative diffraction calculations of transverse mode distributions in confocal unstable laser resonators," Appl. Opt. 12, 997–1010 (1973).
  3. A. N. Chester, "Three-dimensional diffraction calculations of laser resonator modes," Appl. Opt. 12, 2353–2366 (1973).
  4. D. B. Rensch, "Three-dimensional unstable resonator calculations with laser medium," Appl. Opt. 13, 2546–2561 (1974).
  5. A. E. Siegman and E. A. Sziklas, "Mode calculations in unstable resonators with flowing saturable gain. 1. Hermite-Gaussian Expansion," Appl. Opt. 13, 2775 (1974).
  6. 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).
  7. L. W. Chen and L. B. Felsen, "Coupled-mode theory of unstable resonators," IEEE J. Quantum Electron. QE-9, 1102–1113 (1973).
  8. P. Horwitz, "Asymptotic theory of unstable resonator modes," J. Opt. Soc. Am. 63, 1528–1543 (1973).
  9. R. R. Butts and P. V. Avizonis, "Asymptotic analysis of unstable laser resonators with circular mirrors," J. Opt. Soc. Am. 68, 1072–1078 (1978).
  10. S. H. Cho, S. Y. Shin, and L. B. Felsen, "Ray optical analysis of unstable resonators," J. Opt. Soc. Am. 69, 563–574 (1979).
  11. Yu. A. Anan'ev, "Unstable resonators and their applications (review)," Sov. J. Quantum Electron. 1, 565–586 (1972).
  12. A. Gerrand and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975).
  13. K. E. Oughstun, "Intracavity adaptive optics study. Part I. Linear intracavity phase perturbations and their compensation by intracavity adaptive optics. A. Analysis," Res. Rep. No. R80-180301-2 (United Technologies Research Center, East Hartford, Conn., 1980).
  14. A. E. Siegman, "A canonical formulation for analyzing multielement unstable resonators," IEEE J. Quantum Electron. QE-12, 35–39 (1976).

1979 (1)

1978 (1)

1976 (1)

A. E. Siegman, "A canonical formulation for analyzing multielement unstable resonators," IEEE J. Quantum Electron. QE-12, 35–39 (1976).

1975 (1)

1974 (2)

1973 (4)

1972 (1)

Yu. A. Anan'ev, "Unstable resonators and their applications (review)," Sov. J. Quantum Electron. 1, 565–586 (1972).

1967 (1)

A. E. Siegman, "Modes in unstable optical resonators and lens waveguides," IEEE J. Quantum Electron. QE-3, 156–163 (1967).

Anan’ev, Yu. A.

Yu. A. Anan'ev, "Unstable resonators and their applications (review)," Sov. J. Quantum Electron. 1, 565–586 (1972).

Avizonis, P. V.

Burch, J. M.

A. Gerrand and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975).

Butts, R. R.

Chen, L. W.

L. W. Chen and L. B. Felsen, "Coupled-mode theory of unstable resonators," IEEE J. Quantum Electron. QE-9, 1102–1113 (1973).

Chester, A. N.

Cho, S. H.

Felsen, L. B.

S. H. Cho, S. Y. Shin, and L. B. Felsen, "Ray optical analysis of unstable resonators," J. Opt. Soc. Am. 69, 563–574 (1979).

L. W. Chen and L. B. Felsen, "Coupled-mode theory of unstable resonators," IEEE J. Quantum Electron. QE-9, 1102–1113 (1973).

Gerrand, A.

A. Gerrand and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975).

Horwitz, P.

Oughstun, K. E.

K. E. Oughstun, "Intracavity adaptive optics study. Part I. Linear intracavity phase perturbations and their compensation by intracavity adaptive optics. A. Analysis," Res. Rep. No. R80-180301-2 (United Technologies Research Center, East Hartford, Conn., 1980).

Rensch, D. B.

Shin, S. Y.

Siegman, A. E.

A. E. Siegman, "A canonical formulation for analyzing multielement unstable resonators," IEEE J. Quantum Electron. QE-12, 35–39 (1976).

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).

A. E. Siegman and E. A. Sziklas, "Mode calculations in unstable resonators with flowing saturable gain. 1. Hermite-Gaussian Expansion," Appl. Opt. 13, 2775 (1974).

A. E. Siegman, "Modes in unstable optical resonators and lens waveguides," IEEE J. Quantum Electron. QE-3, 156–163 (1967).

Sziklas, E. A.

Appl. Opt. (5)

IEEE J. Quantum Electron. (3)

L. W. Chen and L. B. Felsen, "Coupled-mode theory of unstable resonators," IEEE J. Quantum Electron. QE-9, 1102–1113 (1973).

A. E. Siegman, "Modes in unstable optical resonators and lens waveguides," IEEE J. Quantum Electron. QE-3, 156–163 (1967).

A. E. Siegman, "A canonical formulation for analyzing multielement unstable resonators," IEEE J. Quantum Electron. QE-12, 35–39 (1976).

J. Opt. Soc. Am. (3)

Sov. J. Quantum Electron. (1)

Yu. A. Anan'ev, "Unstable resonators and their applications (review)," Sov. J. Quantum Electron. 1, 565–586 (1972).

Other (2)

A. Gerrand and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975).

K. E. Oughstun, "Intracavity adaptive optics study. Part I. Linear intracavity phase perturbations and their compensation by intracavity adaptive optics. A. Analysis," Res. Rep. No. R80-180301-2 (United Technologies Research Center, East Hartford, Conn., 1980).

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