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Optics Letters

Optics Letters


  • Vol. 20, Iss. 10 — May. 15, 1995
  • pp: 1083–1085

Determination of phase mode components in terms of local wave-front slopes: an analytical approach

E. Acosta, S. Bará, M. A. Rama, and S. Ríos  »View Author Affiliations

Optics Letters, Vol. 20, Issue 10, pp. 1083-1085 (1995)

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An analytical formulation that relates the modal expansion coefficients of a given wave front to its local transverse phase derivatives is proposed. The modal coefficients are calculated as a weighted integral over the wave-front slopes. The weighting functions for each mode are the components of a two-dimensional vector whose divergence equals the corresponding mode function. This approach is useful for analytical phase reconstruction from the input data provided by shearing interferometers or Hartmann–Shack wave-front sensors. Numerical results for a simulated experiment in terms of a set of Zernike polynomials are given.

© 1995 Optical Society of America

Original Manuscript: January 10, 1995
Published: May 15, 1995

E. Acosta, S. Bará, M. A. Rama, and S. Ríos, "Determination of phase mode components in terms of local wave-front slopes: an analytical approach," Opt. Lett. 20, 1083-1085 (1995)

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