Phase reconstruction from intensity measurements in linear systems

M.J. Bastiaans, K.B. Wolf

Research output: Contribution to journalArticleAcademicpeer-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 languageEnglish
Pages (from-to)1046-1049
Number of pages4
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume20
Issue number6
DOIs
Publication statusPublished - 2003

Fingerprint

linear systems
Linear systems
Derivatives
Fourier transforms
Fibers
harmonics
fibers
propagation
profiles

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",

}

Phase reconstruction from intensity measurements in linear systems. / Bastiaans, M.J.; Wolf, K.B.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 20, No. 6, 2003, p. 1046-1049.

Research output: Contribution to journalArticleAcademicpeer-review

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 -