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The complete characterization of spatial coherence is difficult because the mutual coherence function is a complex-valued function of four independent variables. This difficulty limits the ability of controlling and optimizing spatial…

Coherence refers to correlations between field vibrations at two separate points in degrees of freedom such as space, time, and polarisation. In the context of space, coherence theory has been formulated between two transverse positions…

It is well known that direct observation of interference and diffraction pattern in the intensity distribution requires a spatially coherent source. Optical waves emitted from portions beyond the coherence area possess statistically…

Optics · Physics 2009-11-13 Su-Heng Zhang , Lu Gao , Jun Xiong , Li-Juan Feng , De-Zhong Cao , Kaige Wang

Inspired by the concept of coherent frozen waves, this paper introduces one possible theoretical framework of its partially coherent version, a frozen spatial coherence, in which a desired two-point correlation structure of an optical field…

Optics · Physics 2022-06-22 M. A. Pinto , P. A. Brandão

Coherent structures form spontaneously in nonlinear spatiotemporal systems and are found at all spatial scales in natural phenomena from laboratory hydrodynamic flows and chemical reactions to ocean, atmosphere, and planetary climate…

Statistical Mechanics · Physics 2018-08-15 Adam Rupe , James P. Crutchfield

We investigate experimentally fundamental properties of coherent ghost imaging using spatially incoherent beams generated from a pseudo-thermal source. A complementarity between the coherence of the beams and the correlation between them is…

Quantum Physics · Physics 2007-05-23 A. Gatti , M. Bache , D. Magatti , E. Brambilla , F. Ferri , L. A. Lugiato

We present spatial coherence measurements of partially coherent light in the far-field of incoherent sources with an experimental setup based on the Thompson-Wolf and Partanen-Turunen-Tervo experiments, to be performed in the context of a…

Instrumentation and Detectors · Physics 2021-05-05 Tiago E. C. Magalhães , José M. Rebordão , Alexandre Cabral

Control over optical spatial coherence is a key requirement in diverse applications including imaging, optical trapping, and communications. Current approaches to controlling spatial coherence are constrained by speed or limited to a single…

Coherence is a fundamental notion in quantum mechanics, defined relative to a reference basis. As such, it does not necessarily reveal the locality of interactions nor takes into account the accessible operations in a composite quantum…

Quantum Physics · Physics 2021-03-10 Alioscia Hamma , Georgios Styliaris , Paolo Zanardi

The notion of a coherent space is a nonlinear version of the notion of a complex Euclidean space: The vector space axioms are dropped while the notion of inner product is kept. Coherent spaces provide a setting for the study of geometry in…

Mathematical Physics · Physics 2018-10-01 Arnold Neumaier

In absence of a lens to form an image, incoherent or partially coherent light scattering off an obstructive or reflective object forms a broad intensity distribution in the far field with only feeble spatial features. We show here that…

Coherence vortices are screw-type topological defects in the phase of Glauber's two-point degree of quantum coherence, associated with pairs of spatial points at which an ensemble-averaged stochastic quantum field is uncorrelated. Coherence…

Quantum Physics · Physics 2015-06-03 Tapio P. Simula , David M. Paganin

Spatial confounding poses a significant challenge in scientific studies involving spatial data, where unobserved spatial variables can influence both treatment and outcome, possibly leading to spurious associations. To address this problem,…

Machine Learning · Computer Science 2024-12-04 Mauricio Tec , Ana Trisovic , Michelle Audirac , Sophie Woodward , Jie Kate Hu , Naeem Khoshnevis , Francesca Dominici

A new theoretical technique for understanding, analyzing and developing optical systems is presented. The approach is statistical in nature, where information about an object under investigation is discovered, by examining deviations from a…

Optics · Physics 2016-09-20 Damien P. Kelly

A transfer-matrix algorithm is presented herein as a beginning to study the transmission characteristics of coherent light through three-dimensional periodic microstructures, in which the structures are treated as two-dimensional-layer…

Statistical Mechanics · Physics 2015-05-27 I. L. Ho , Y. C. Chang , W. Y. Li , M. T. Lee , C. Y. Yin

A beam of light, reflected at a planar interface, does not follow perfectly the ray optics prediction. Diffractive corrections lead to beam shifts; either the reflected beam is displaced (spatial shift) and/or travels in a different…

Optics · Physics 2012-11-26 W. Löffler , Andrea Aiello , J. P. Woerdman

We present a frame-invariant method for detecting coherent structures from Lagrangian flow trajectories that can be sparse in number, as is the case in many fluid mechanics applications of practical interest. The method, based on principles…

Fluid Dynamics · Physics 2017-03-08 Kristy L. Schlueter-Kuck , John O. Dabiri

We introduce a rigorous framework for the quantification of coherence and identify intuitive and easily computable measures of coherence. We achieve this by adopting the viewpoint of coherence as a physical resource. By determining defining…

Quantum Physics · Physics 2014-10-07 T. Baumgratz , M. Cramer , M. B. Plenio

Quantifying coherence has received increasing attention, and considerable work has been directed towards finding coherence measures. While various coherence measures have been proposed in theory, an important issue following is how to…

Quantum Physics · Physics 2018-05-02 Da-Jian Zhang , C. L. Liu , Xiao-Dong Yu , D. M. Tong

Preservation of coherence is a fundamental yet subtle phenomenon in open systems. We uncover its relation to symmetries respected by the system Hamiltonian and its coupling to the environment. We discriminate between local and global…

Atomic Physics · Physics 2023-01-13 Jonathan Dubois , Ulf Saalmann , Jan Michael Rost
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