Local amplitude and phase retrieval method for digital holography applied to microscopy

Michael Liebling; Thierry Blu; Etienne Cuche; Pierre Marquet; Christian Depeursinge; Michael Unser

doi:10.1117/12.500517

Local amplitude and phase retrieval method for digital holography applied to microscopy

Michael Liebling^*, Thierry Blu, Etienne Cuche, Pierre Marquet, Christian Depeursinge, Michael Unser

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

5 Scopus citations

Abstract

We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares sense. The algorithm has O(N) complexity and gives great flexibility. Second, we numerically propagate the obtained wave to achieve proper focus. We apply the method to microscopy and demonstrate its suitability for the real time imaging of biological samples.

Original language	English (US)
Pages (from-to)	210-214
Number of pages	5
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5143
DOIs	https://doi.org/10.1117/12.500517
State	Published - 2003
Externally published	Yes
Event	Novel Optical Instrumentation for Biomedical Applications - Munich, Germany Duration: Jun 24 2003 → Jun 25 2003

Keywords

Digital holography
Fresnel transform
Fresnelets
Least-squares
Phase retrieval

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.500517

Cite this

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title = "Local amplitude and phase retrieval method for digital holography applied to microscopy",

abstract = "We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares sense. The algorithm has O(N) complexity and gives great flexibility. Second, we numerically propagate the obtained wave to achieve proper focus. We apply the method to microscopy and demonstrate its suitability for the real time imaging of biological samples.",

keywords = "Digital holography, Fresnel transform, Fresnelets, Least-squares, Phase retrieval",

author = "Michael Liebling and Thierry Blu and Etienne Cuche and Pierre Marquet and Christian Depeursinge and Michael Unser",

year = "2003",

doi = "10.1117/12.500517",

language = "English (US)",

volume = "5143",

pages = "210--214",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

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note = "Novel Optical Instrumentation for Biomedical Applications ; Conference date: 24-06-2003 Through 25-06-2003",

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TY - JOUR

T1 - Local amplitude and phase retrieval method for digital holography applied to microscopy

AU - Liebling, Michael

AU - Blu, Thierry

AU - Cuche, Etienne

AU - Marquet, Pierre

AU - Depeursinge, Christian

AU - Unser, Michael

PY - 2003

Y1 - 2003

N2 - We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares sense. The algorithm has O(N) complexity and gives great flexibility. Second, we numerically propagate the obtained wave to achieve proper focus. We apply the method to microscopy and demonstrate its suitability for the real time imaging of biological samples.

AB - We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares sense. The algorithm has O(N) complexity and gives great flexibility. Second, we numerically propagate the obtained wave to achieve proper focus. We apply the method to microscopy and demonstrate its suitability for the real time imaging of biological samples.

KW - Digital holography

KW - Fresnel transform

KW - Fresnelets

KW - Least-squares

KW - Phase retrieval

UR - http://www.scopus.com/inward/record.url?scp=1342309735&partnerID=8YFLogxK

U2 - 10.1117/12.500517

DO - 10.1117/12.500517

M3 - Conference article

AN - SCOPUS:1342309735

SN - 0277-786X

VL - 5143

SP - 210

EP - 214

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Novel Optical Instrumentation for Biomedical Applications

Y2 - 24 June 2003 through 25 June 2003

ER -

Local amplitude and phase retrieval method for digital holography applied to microscopy

Abstract

Keywords

ASJC Scopus subject areas

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