Phase Reconstruction from Amplitude Based on the Rytov Transformation of the Wave Equation

  • Mehrdad Soumekh
Part of the Acoustical Imaging book series (ACIM, volume 17)


This paper addresses the problem of phase reconstruction from amplitude for a diffracted wave. We utilize the Rytov transformation of the Helmholtz wave equation to relate the phase and amplitude functions; this results in two partial differential equations. We show that each of these PDEs yields a perturbation scheme to reconstruct the phase from amplitude. We also examine issues involved with the implementation of these methods in practice.


Coherence Refraction Acoustics Amplit 


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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Mehrdad Soumekh
    • 1
  1. 1.Department of Electrical and Computer EngineeringState University of New York at BuffaloAmherstUSA

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