Journal ArticleDOI
Genuine cross-spectral densities and pseudo-modal expansions.
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It is shown that any genuine CSD can be expanded in terms of the so-called pseudo-modes of the source, understood as coherent contributions, not orthogonal to one another, that, superposed in an uncorrelated way, give rise to the CSD.Abstract:
A necessary and sufficient non-negative definiteness condition for the cross-spectral density (CSD) is provided. It is also shown that any genuine CSD can be expanded in terms of the so-called pseudo-modes of the source, understood as coherent contributions, not orthogonal to one another, that, superposed in an uncorrelated way, give rise to the CSD. Their evaluation is analyzed by means of an illustrative example.read more
Citations
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Journal ArticleDOI
Propagation characteristics of partially coherent beams with spatially varying correlations
Hanna Lajunen,Toni Saastamoinen +1 more
TL;DR: It is shown that mathematically simple modifications in the coherence function of conventional Gaussian Schell-model beams lead to partially coherent fields with extraordinary free-space propagation characteristics, such as locally sharpened and laterally shifted intensity maxima.
Journal ArticleDOI
Light sources generating far fields with tunable flat profiles
Serkan Sahin,Olga Korotkova +1 more
TL;DR: Planar, scalar, optical Schell-model, and quasi-homogeneous sources with correlations that are Fourier transforms of multi-Gaussian functions are introduced and it is demonstrated that far fields produced by these families of sources carry interesting characteristics.
Journal ArticleDOI
Generation and propagation of partially coherent beams with nonconventional correlation functions: a review [invited].
TL;DR: A review of recent developments on generation and propagation of partially coherent beams with nonconventional correlation functions is presented.
Journal ArticleDOI
Optical coherence gratings and lattices
Liyuan Ma,Sergey A. Ponomarenko +1 more
TL;DR: It is shown that temporal coherence gratings generate partially coherent pulses with periodic spectra, whereas spatial coherence lattices yield far-zone output in the form of periodic lattices of highly directional beams.
Book ChapterDOI
The structure of partially coherent fields
Greg Gbur,Taco D. Visser +1 more
TL;DR: In this article, the authors provide an overview of recent advances, both theoretical and experimental, that have been made in a number of areas of optical coherence, including the introduction of the space-frequency representation of partially coherent fields, and an increased emphasis on the spatial coherence properties of wave fields.
References
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Journal ArticleDOI
New theory of partial coherence in the space–frequency domain. Part I: spectra and cross spectra of steady-state sources
TL;DR: In this article, the cross-spectral density of a steady-state source of any state of coherence may be expressed in terms of certain new modes of oscillations, each of which represents a completely spatially coherent elementary excitation.
Journal ArticleDOI
Devising genuine spatial correlation functions
Franco Gori,Massimo Santarsiero +1 more
TL;DR: A sufficient condition for ensuring the satisfaction of the constraint of nonnegative definiteness on the choice of the mathematical form of spatial correlation functions for optical fields is discussed.
Journal ArticleDOI
Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields
A. Starikov,Emil Wolf +1 more
TL;DR: In this paper, a theory of partial coherence in the space-frequency domain is used to determine the mode structure of an important class of partially coherent sources and of the radiation fields generated by them.
Journal ArticleDOI
Collett-Wolf sources and multimode lasers
TL;DR: In this article, it was shown that an exact realization of a Collett-Wolf source is given by a laser oscillating on a suitable superposition of (infinitely many) transverse modes.
Journal ArticleDOI
A class of partially coherent beams carrying optical vortices.
TL;DR: In this article, a new class of partially coherent beams with a separable phase, which carry optical vortices, is introduced, and the free-space propagation properties of such beams are studied analytically and their M2 quality factor is investigated numerically.
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