Fresnel’s rings in reconstruction of scattering media holograms

Abstract

The theoretical description of the field reconstructed from an in-line hologram of dispersed media is presented. The intensity distribution in the focal plane of a lens placed behind a hologram is analyzed. It is shown that two overlapped patterns are observing in this plane. The first pattern is entirely in accordance with the small-angle spectrum of radiation scattered by the ensemble of particles, and its view does not depend on the distances between the particles, the hologram, and the lens. The second pattern is made of Fresnel’s rings and depends on the distance between the particles and the hologram. A statistical interpretation of the distribution of intensity in the focal plane of a lens is proposed. Experimental results and discussion are presented.

Original language	English
Pages (from-to)	4073-4078
Number of pages	6
Journal	Applied Optics
Volume	34
Issue number	20
DOIs	https://doi.org/10.1364/AO.34.004073
Publication status	Published - 10 Jul 1995
Externally published	Yes

Keywords

Disperse media
Holography
Light scattering

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1364/AO.34.004073

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title = "Fresnel{\textquoteright}s rings in reconstruction of scattering media holograms",

abstract = "The theoretical description of the field reconstructed from an in-line hologram of dispersed media is presented. The intensity distribution in the focal plane of a lens placed behind a hologram is analyzed. It is shown that two overlapped patterns are observing in this plane. The first pattern is entirely in accordance with the small-angle spectrum of radiation scattered by the ensemble of particles, and its view does not depend on the distances between the particles, the hologram, and the lens. The second pattern is made of Fresnel{\textquoteright}s rings and depends on the distance between the particles and the hologram. A statistical interpretation of the distribution of intensity in the focal plane of a lens is proposed. Experimental results and discussion are presented.",

keywords = "Disperse media, Holography, Light scattering",

author = "Borovoi, {A. G.} and Dyomin, {V. V.} and Vagin, {N. I.} and Donchenko, {V. A.}",

year = "1995",

month = jul,

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doi = "10.1364/AO.34.004073",

language = "English",

volume = "34",

pages = "4073--4078",

journal = "Applied Optics",

issn = "1559-128X",

publisher = "The Optical Society",

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T1 - Fresnel’s rings in reconstruction of scattering media holograms

AU - Borovoi, A. G.

AU - Dyomin, V. V.

AU - Vagin, N. I.

AU - Donchenko, V. A.

PY - 1995/7/10

Y1 - 1995/7/10

N2 - The theoretical description of the field reconstructed from an in-line hologram of dispersed media is presented. The intensity distribution in the focal plane of a lens placed behind a hologram is analyzed. It is shown that two overlapped patterns are observing in this plane. The first pattern is entirely in accordance with the small-angle spectrum of radiation scattered by the ensemble of particles, and its view does not depend on the distances between the particles, the hologram, and the lens. The second pattern is made of Fresnel’s rings and depends on the distance between the particles and the hologram. A statistical interpretation of the distribution of intensity in the focal plane of a lens is proposed. Experimental results and discussion are presented.

AB - The theoretical description of the field reconstructed from an in-line hologram of dispersed media is presented. The intensity distribution in the focal plane of a lens placed behind a hologram is analyzed. It is shown that two overlapped patterns are observing in this plane. The first pattern is entirely in accordance with the small-angle spectrum of radiation scattered by the ensemble of particles, and its view does not depend on the distances between the particles, the hologram, and the lens. The second pattern is made of Fresnel’s rings and depends on the distance between the particles and the hologram. A statistical interpretation of the distribution of intensity in the focal plane of a lens is proposed. Experimental results and discussion are presented.

KW - Disperse media

KW - Holography

KW - Light scattering

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