Abstract

A systematic treatment of modal estimation of a wave-front phase from its gradients is given. We introduce a gradient matrix and use it to describe cross coupling of aberrations (lack of orthogonality of its column vectors) and aliasing of aberrations (lack of linear independence of its column vectors).

© 1981 Optical Society of America

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  1. R. Cubalchini, "Modal wave-front estimates from phase derivative measurements," J. Opt. Soc. Am. 69, 972–977 (1979).
  2. D. L. Fried, "Least-squares fitting a wave-front distortion estimate to an array of phase-difference measurements," J. Opt. Soc. Am. 67, 370–375 (1977).
  3. R. H. Hudgin, "Wave-front reconstruction for compensated imaging," J. Opt. Soc. Am. 67, 374–378 (1977).
  4. J. Herrmann, "Least-squares wave front errors of minimum norm," J. Opt. Soc. Am. 70, 28–35 (1980).
  5. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965).
  6. C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  7. A. Ben-Israel and N. E. Greville, Generalized Inverses: Theory and Applications (Wiley, New York, 1974).
  8. J. W. Hardy, J. E. Lefebvre, and C. L. Koliopoulos, "Real-time atmospheric compensation," J. Opt. Soc. Am. 67, 360–369 (1977).
  9. R. J. Noll, "Zernike polynomials and atmospheric turbulence," J. Opt. Soc. Am. 66, 207–211 (1976).

1980

1979

1977

1976

Ben-Israel, A.

A. Ben-Israel and N. E. Greville, Generalized Inverses: Theory and Applications (Wiley, New York, 1974).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965).

Cubalchini, R.

Fried, D. L.

Greville, N. E.

A. Ben-Israel and N. E. Greville, Generalized Inverses: Theory and Applications (Wiley, New York, 1974).

Hanson, R. J.

C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Prentice-Hall, Englewood Cliffs, N.J., 1974).

Hardy, J. W.

Herrmann, J.

Hudgin, R. H.

R. H. Hudgin, "Wave-front reconstruction for compensated imaging," J. Opt. Soc. Am. 67, 374–378 (1977).

Koliopoulos, C. L.

Lawson, C. L.

C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Prentice-Hall, Englewood Cliffs, N.J., 1974).

Lefebvre, J. E.

Noll, R. J.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965).

J. Opt. Soc. Am.

Other

M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965).

C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Prentice-Hall, Englewood Cliffs, N.J., 1974).

A. Ben-Israel and N. E. Greville, Generalized Inverses: Theory and Applications (Wiley, New York, 1974).

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