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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 and correlations represent two related properties of a compound system. The system can be, for instance, the polarization of a photon, which forms part of a polarization-entangled two-photon state, or the spatial shape of a…

Quantum Physics · Physics 2015-12-01 Jiří Svozilík , Adam Vallés , Jan Peřina , Juan P. Torres

Several recent studies show that bright, intermediate and high redshift optically and radio selected QSOs are positively correlated with nearby galaxies on a range of angular scales up to a degree. Obscuration by unevenly distributed…

Astrophysics · Physics 2009-10-31 Liliya L. R. Williams

Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively different from any uniform substance. The differences are particularly pronounced when the electromagnetic wavelength is comparable to the…

Optics · Physics 2007-05-23 A. Figotin , I. Vitebskiy

Propagation of light through media with a complex refractive index in which gain and loss are engineered to be $PT$ symmetric has many remarkable features. In particular the usual unitarity relations are not satisfied, so that the…

Optics · Physics 2015-06-03 H. F. Jones

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

Partially coherent quantum-entangled beams combine quantum entanglement with partial coherence, allowing them to maintain quantum characteristics while being more resistant to distortions caused by random media during propagation. In this…

Quantum Physics · Physics 2025-03-04 Sakshi Rao , Bhaskar Kanseri

We developed a formula for the law of reflection of a plane-polarized light beam from an inclined flat mirror in uniform rectilinear motion by a direct application of the Huygens-Fresnel principle. Applying the obtained formula and the…

Classical Physics · Physics 2021-12-09 Aleksandar Gjurchinovski

We consider contractivity for diffusion semigroups w.r.t. Kantorovich ($L^1$ Wasserstein) distances based on appropriately chosen concave functions. These distances are inbetween total variation and usual Wasserstein distances. It is shown…

Probability · Mathematics 2015-10-20 Andreas Eberle

The close relation between the processes of paraxial diffraction and coherent diffusion is reflected in the similarity between their shape-preserving solutions, notably the Gaussian modes. Differences between these solutions enter only for…

Optics · Physics 2013-05-27 Dimity Yankelev , Ofer Firstenberg , Moshe Shuker , Nir Davidson

This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

Partially coherent electromagnetic sources with cylindrical symmetry and infinite extent radiating outwards are introduced. Their 3x3 cross-spectral density matrix is given through expansions of the field components in terms of basis…

Wavefield speckle patterns are generated by interference of randomly scattered coherent light. In the weak-coupling regime of the It\^o-Schr\"odinger paraxial model for long-distance wave propagation, we show the following multiscale…

Analysis of PDEs · Mathematics 2025-10-13 Guillaume Bal , Anjali Nair

Optical phenomena always display some degree of partial coherence between their respective degrees of freedom. Partial coherence is of particular interest in multimodal systems, where classical and quantum correlations between spatial,…

Optics · Physics 2024-11-14 Charles Roques-Carmes , Shanhui Fan , David Miller

Building upon the recently introduced particle interpretation of the double-slit experiment [Phys. Rev. Lett. 134, 133603 (2025)] which attributes interference phenomena to detector-coupled (bright) and detector-uncoupled (dark) states of…

Quantum Physics · Physics 2026-04-13 Jian-Jian Cheng , Jun-Ling Che , Lin Zhang , Ming-Liang Hu

We study the propagation of light under a strong electric field in Born-Infeld electrrdynamics. The nonlinear effect can be described by the effective indices of refraction. Because the effective indices of refraction depend on the…

General Physics · Physics 2021-06-30 Jin Young Kim

A theoretical study of the coherent light scattering from disordered photonic crystal is presented. In addition to the conventional enhancement of the reflected light intensity into the backscattering direction, the so called coherent…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Y. Sivachenko , M. E. Raikh , Z. V. Vardeny

An exact formulation of the propagation of a monochromatic wave packet impinging upon a transparent, homogeneous, isotropic and parallel slab at oblique incidence is presented. Approximate formulas are derived for low divergence Gaussian…

Optics · Physics 2017-12-18 Michel Lequime , Claude Amra

Partially coherent electromagnetic sources with cylindrical symmetry and infinite extent radiating outwards are introduced. Their $3\times3$ cross-spectral density matrix is given through expansions of the field components in terms of basis…

Two-photon states generated through degenerate spontaneous parametric down-conversion (SPDC) can exhibit sharp correlations in the transverse spatial coordinates. This property leads to unique free-space propagation features. Here, we show…

Quantum Physics · Physics 2025-05-20 Nazanin Dehghan , Alessio D'Errico , Yingwen Zhang , Benjamin Sussman , Ebrahim Karimi
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