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Simultaneous determination of the modulus and phase of a coherently illuminated object from its measured diffraction image

Richard Barakat-+ and Barbara H Sandler++

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An algorithm for recovering the modulus and phase of a coherently illuminated object from its measured diffraction image is presented. The algorithm is based upon the fact that both the Jacobian and Hessian matrices can be evaluated exactly so that both slope and curvature information is available. The inversion problem is cast as a nonlinear unconstrained optimization problem, and trust region techniques are employed for its solution. Representative numericals are presented.


PACS

42.30.Wb Image reconstruction; tomography

02.10.Yn Matrix theory

02.60.Pn Numerical optimization

02.30.Zz Inverse problems

42.25.Kb Coherence

Subjects

Mathematical physics

Computational physics

Optics, quantum optics and lasers

Dates

Issue 5 (September 1999)

Received 23 March 1999



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