Abstract:

A precise algorithm for wavefront fitting using Zernike polynomial, which is applied in the computer-generated hologram digital wavefront interferometer, is studied. Differing from the conventional method of direct constructing normal equation group or the GramSchmidt orthogonalization method, the new algorithm orthogonalizes and triangulates the matrix of inconsistent equation group by using Householder transformation, and then the Zernike coefficients are worked out using a backsubstitution technique. It is proposed for the first time. By avoiding constructing normal equation group, the computational error introduced by constructing normal equation group is eliminated. It is also quite easy to be programmed and has proved to be an efficacious algorithm.

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