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Title: Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem

Abstract

We derive an extension of the Van Cittert and Zernike theorem (VCZT), which holds very near to planar quasihomogeneous radiation sources. This derivation is based on paraxial propagation of the Wigner distribution function of the scalar field. We identify a critical distance from the source. Below this distance (deep Fresnel region) the field autocorrelation function is invariant upon propagation and the propagated field contains information about the correlation properties of the radiation source. Beyond the critical distance, the classical VCZT theorem is found to hold and no information about the source correlation can be recovered. The transition between the two regimes is described analytically for a simple case.

Authors:
 [1]
  1. Dipartimento di Fisica, Universita degli Studi di Milano, Via Celoria 16, I-20133 Milano (Italy)
Publication Date:
OSTI Identifier:
20982591
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.053815; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; FOURIER TRANSFORMATION; OPTICS; RADIATION SOURCES; SCALAR FIELDS; VISIBLE RADIATION; WIGNER DISTRIBUTION

Citation Formats

Cerbino, Roberto. Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.053815.
Cerbino, Roberto. Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem. United States. doi:10.1103/PHYSREVA.75.053815.
Cerbino, Roberto. Tue . "Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem". United States. doi:10.1103/PHYSREVA.75.053815.
@article{osti_20982591,
title = {Correlations of light in the deep Fresnel region: An extended Van Cittert and Zernike theorem},
author = {Cerbino, Roberto},
abstractNote = {We derive an extension of the Van Cittert and Zernike theorem (VCZT), which holds very near to planar quasihomogeneous radiation sources. This derivation is based on paraxial propagation of the Wigner distribution function of the scalar field. We identify a critical distance from the source. Below this distance (deep Fresnel region) the field autocorrelation function is invariant upon propagation and the propagated field contains information about the correlation properties of the radiation source. Beyond the critical distance, the classical VCZT theorem is found to hold and no information about the source correlation can be recovered. The transition between the two regimes is described analytically for a simple case.},
doi = {10.1103/PHYSREVA.75.053815},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}