Phase Reconstruction/Unwrapping from Amplitude for Diffracted Waves Using a Perturbation Solution of the Wave Equation

Mehrdad Soumekh

doi:10.1109/29.1630

Phase Reconstruction/Unwrapping from Amplitude for Diffracted Waves Using a Perturbation Solution of the Wave Equation

Mehrdad Soumekh

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This paper presents a scheme to recover the phase of a diffracted wave from the knowledge of its amplitude. We utilize the Helmholtz wave equation to relate the phase and amplitude of a diffracted wave; this relationship is the basis of a perturbation solution for the phase function. Signal processing issues associated with the implementation of the scheme are discussed. Applications of the method in certain phase reconstruction/unwrapping problems are shown.

Original language	English
Pages (from-to)	1076-1085
Number of pages	10
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	36
Issue number	7
DOIs	https://doi.org/10.1109/29.1630
State	Published - Jul 1988

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title = "Phase Reconstruction/Unwrapping from Amplitude for Diffracted Waves Using a Perturbation Solution of the Wave Equation",

abstract = "This paper presents a scheme to recover the phase of a diffracted wave from the knowledge of its amplitude. We utilize the Helmholtz wave equation to relate the phase and amplitude of a diffracted wave; this relationship is the basis of a perturbation solution for the phase function. Signal processing issues associated with the implementation of the scheme are discussed. Applications of the method in certain phase reconstruction/unwrapping problems are shown.",

author = "Mehrdad Soumekh",

year = "1988",

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AU - Soumekh, Mehrdad

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N2 - This paper presents a scheme to recover the phase of a diffracted wave from the knowledge of its amplitude. We utilize the Helmholtz wave equation to relate the phase and amplitude of a diffracted wave; this relationship is the basis of a perturbation solution for the phase function. Signal processing issues associated with the implementation of the scheme are discussed. Applications of the method in certain phase reconstruction/unwrapping problems are shown.

AB - This paper presents a scheme to recover the phase of a diffracted wave from the knowledge of its amplitude. We utilize the Helmholtz wave equation to relate the phase and amplitude of a diffracted wave; this relationship is the basis of a perturbation solution for the phase function. Signal processing issues associated with the implementation of the scheme are discussed. Applications of the method in certain phase reconstruction/unwrapping problems are shown.

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SN - 0096-3518

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JO - IEEE Transactions on Acoustics, Speech, and Signal Processing

JF - IEEE Transactions on Acoustics, Speech, and Signal Processing

IS - 7

ER -

Phase Reconstruction/Unwrapping from Amplitude for Diffracted Waves Using a Perturbation Solution of the Wave Equation

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