Phase reconstruction from intensity measurements in linear systems

M.J. Bastiaans; K.B. Wolf

doi:10.1364/JOSAA.20.001046

Phase reconstruction from intensity measurements in linear systems

M.J. Bastiaans, K.B. Wolf

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

38 Citations (Scopus)

Abstract

The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.

Original language	English
Pages (from-to)	1046-1049
Number of pages	4
Journal	Journal of the Optical Society of America A, Optics, Image Science and Vision
Volume	20
Issue number	6
DOIs	https://doi.org/10.1364/JOSAA.20.001046
Publication status	Published - 2003

Access to Document

10.1364/JOSAA.20.001046

Fingerprint Dive into the research topics of 'Phase reconstruction from intensity measurements in linear systems'. Together they form a unique fingerprint.

Cite this

@article{be3f37fd4d2c4f14a2fe00f39087eb20,

title = "Phase reconstruction from intensity measurements in linear systems",

abstract = "The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.",

author = "M.J. Bastiaans and K.B. Wolf",

year = "2003",

doi = "10.1364/JOSAA.20.001046",

language = "English",

volume = "20",

pages = "1046--1049",

journal = "Journal of the Optical Society of America A, Optics, Image Science and Vision",

issn = "1084-7529",

publisher = "Optical Society of America (OSA)",

number = "6",

}

TY - JOUR

T1 - Phase reconstruction from intensity measurements in linear systems

AU - Bastiaans, M.J.

AU - Wolf, K.B.

PY - 2003

Y1 - 2003

N2 - The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.

AB - The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.

U2 - 10.1364/JOSAA.20.001046

DO - 10.1364/JOSAA.20.001046

M3 - Article

VL - 20

SP - 1046

EP - 1049

JO - Journal of the Optical Society of America A, Optics, Image Science and Vision

JF - Journal of the Optical Society of America A, Optics, Image Science and Vision

SN - 1084-7529

IS - 6

ER -