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Non-diffracting partially coherent waves with binomial coherence

Journal of the Optical Society of America A, 2022
Comprehensive analysis of non-diffracting optical waves with two-point binomial coherence function (BCF) is presented. This coherence function consists of two terms, each depending on either separation of points or the central point. We establish the necessary and sufficient conditions for nonnegative definiteness of the BCFs.
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Azimuthal polarization and partial coherence

Journal of the Optical Society of America A, 2003
Partially coherent fields with the electric field parallel to the azimuthal coordinate are analyzed by use of the exact angular spectrum representation. The known results for fully coherent fields are used to find the permitted forms of azimuthally polarized, partially coherent fields.
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Extracting coherent modes from partially coherent wavefields

Optics Letters, 2009
Blank
Nugent, Keith A.   +3 more
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Self-focusing of a partially coherent beam with circular coherence

Journal of the Optical Society of America A, 2017
In a recent publication [Opt. Lett.42, 1512 (2017)OPLEDP0146-959210.1364/OL.42.001512], a novel class of partially coherent sources with circular coherence was introduced. In this paper, we examine the propagation behavior of the spectral density and the spectral degree of spatial coherence of a beam generated by such a source in free space and in ...
Chaoliang Ding   +3 more
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Twisting partially coherent light

Optics Letters, 2018
Twisted Gaussian Schell-model beams were introduced 25 years ago as a celebrated example of a "genuinely two-dimensional" partially coherent wavefield. Today, a definite answer about the effect that a twist phase should produce on an arbitrary cross-spectral density has not yet been reached. In the present Letter, the necessary and sufficient condition
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The Structure of Partially Coherent Fields

2010
The general framework of optical coherence theory is now well established and has been described in numerous publications. This chapter provides an overview of recent advances, both theoretical and experimental, that have been made in a number of areas of classical optical coherence.
Gbur, G., Visser, T.D.
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Coherent-Mode Representation of Partially Coherent and Partially Polarized Optical Fields

Frontiers in Optics 2007/Laser Science XXIII/Organic Materials and Devices for Displays and Energy Conversion, 2007
The coherent-mode representation of partially coherent, partially polarized optical field is defined on the basis of the unified theory of coherence and polarization. An example of the coherent-mode representation of the imaging process is given.
Andrey S. Ostrovsky   +1 more
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Basic theory of partial coherence

Proceedings of the April 26-28, 1966, Spring joint computer conference on XX - AFIPS '66 (Spring), 1966
The structure for a fundamental treatment of image formation problems already exists in the formalism of modern coherence theory as introduced by Wolf. An adequate introduction to the subject is provided by Born and Wolf, (Chap. 10), and a detailed description of most of the results of the theory to date may be found in Beran and Parrent.
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Partial Coherence and Entanglement

Frontiers in Optics 2004/Laser Science XXII/Diffractive Optics and Micro-Optics/Optical Fabrication and Testing, 2004
The two-photon wave function that characterizes light in a two-photon entangled state obeys equations similar to the Wolf equations describing the mutual coherence function. A duality between coherence and entanglement has been established, and a van Cittert-Zernike theorem is applicable.
Bahaa E. A. Saleh   +2 more
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Doubly positive functions in coherent and partially coherent optics

Optics Letters, 2017
A function is said to be doubly positive if it is everywhere non-negative and the same holds true for its Fourier transform. After discussing applications to coherent and partially coherent fields, we present examples and properties of such functions together with procedures to devise classes of them.
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