The problem of wave-front estimation from wave-front slope measurements has been examined from a least-squares curve fitting model point of view. It is shown that the slope measurement sampling geometry influences the model selection for the phase estimation. Successive over-relaxation (SOR) is employed to numerically solve the exact zonal phase estimation problem. A new zonal phase gradient model is introduced and its error propagator, which relates the mean-square wavefront error to the noisy slope measurements, has been compared with two previously used models. A technique for the rapid extraction of phase aperture functions is presented. Error propagation properties for modal estimation are evaluated and compared with zonal estimation results.

© 1980 Optical Society of America

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1980 (1)

1979 (3)

1978 (1)

1977 (2)

1976 (1)

1974 (1)

Baxter, B. S.

Cubalchini, R.

Fried, D. L.

Frost, R. L.

Herrmann, J.

Hudgin, R. H.

Hunt, B. R.

Knox, K. T.

Noll, R. J.

Rimmer, M. P.

Rushforth, C. K.

Young, D. M.

D. M. Young, Iterative Solutions of Large Linear Systems (Academic, New York, 1972).

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