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We present the spatially accelerating solutions of the Maxwell equations. Such non-paraxial beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams. For both TE and TM polarizations, the beams exhibit…

光学 · 物理学 2012-04-27 Ido Kaminer , Rivka Bekenstein , Jonathan Nemirovsky , Mordechai Segev

Multiple-degrees-of-freedom free-space communication combining polarization and high-order spatial modes promises high-capacity communication channel. While high-order spatial modes have been widely exploited for dense coding and…

量子物理 · 物理学 2016-03-17 Ling Ji , Ai-Lin Yang , Xiao-Feng Lin , Xian-Min Jin

In this work we study the natural focusing of Airy beams symmetric under reflection of the transverse coordinates. Following a recent proposal, their angular spectra depend on the absolute value of the third power of the transverse…

光学 · 物理学 2014-07-29 R. Jauregui , P. A. Quinto-Su

Although diffractive spreading is an unavoidable feature of all wave phenomena, certain waveforms can attain propagation-invariance. A lesser-explored strategy for achieving optical selfsimilar propagation exploits the modification of the…

光学 · 物理学 2018-04-25 H. Esat Kondakci , Ayman F. Abouraddy

The effect of a random phase screen on laser beam wander in a turbulent atmosphere is studied theoretically. The method of photon distribution function is used to describe the photon kinetics of both weak and strong turbulence. By bringing…

量子物理 · 物理学 2009-11-13 G. P. Berman , A. A. Chumak , V. N. Gorshkov

We demonstrate that the orbital angular momentum flux density of a paraxial light beam can change on propagation in free space. These changes are entirely due to the spatial coherence state of the source, and the effect is analogous to…

光学 · 物理学 2021-01-04 Yongtao Zhang , Olga Korotkova , Yangjian Cai , Greg Gbur

Waves propagating through weakly disordered smooth linear media undergo a universal phenomenon called branched flow. Branched flow has been observed and studied experimentally in various systems by considering coherent waves. Recent…

偏微分方程分析 · 数学 2025-04-09 Josselin Garnier , Antonio Picozzi , Theo Torres

Beam propagation beyond the paraxial approximation is studied in an optically written waveguide structure. The waveguide structure that leads to diffractionless light propagation, is imprinted on a medium consisting of a five-level atomic…

光学 · 物理学 2013-05-08 L. Zhang , T. N. Dey , J. Evers

Optical beam propagation in random media is characterized by familiar speckle patterns generated by intricate interference effects. Such patterns may be modified and possibly attenuated for partially coherent incident beam profiles. In the…

偏微分方程分析 · 数学 2025-08-19 Guillaume Bal , Anjali Nair

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…

光学 · 物理学 2022-06-22 M. A. Pinto , P. A. Brandão

In this letter, we introduce a new class of light beam, the circular symmetric Airy beam (CSAB), which arises from the extensions of the one dimensional (1D) spectrum of Airy beam from rectangular coordinates to cylindrical ones. The CSAB…

光学 · 物理学 2020-02-10 Chuangjie Xu

These tutorials introduce some basics of imaging with coherent X-rays, focusing on phase contrast. We consider the transport-of-intensity equation, as one particular method for X-ray phase contrast imaging among many, before passing on to…

图像与视频处理 · 电气工程与系统科学 2019-02-28 David M. Paganin , Daniele Pelliccia

The propagation dynamics of two-dimensional (2D) ring-Airy beams is studied in the framework of the fractional Schr\"{o}dinger equation, which includes saturable or cubic self-focusing or defocusing nonlinearity and L\'{e}vy index ((LI)…

光学 · 物理学 2022-12-16 Pengfei Li , Yanzhu Wei , Boris A. Malomed , Dumitru Mihalache

The photon density operator function is used to calculate light beam propagation through turbulent atmosphere. A kinetic equation for the photon distribution function is derived and solved using the method of characteristics. Optical wave…

量子物理 · 物理学 2009-11-13 G. P. Berman , A. A. Chumak

We demonstrate that beams originating from Fresnel diffraction patterns are self-accelerating in free space. In addition to accelerating and self-healing, they also exhibit parabolic deceleration property, which is in stark contrast to…

Partially coherent light beams are encountered both in classical and in quantum optics. Their coherence properties generally depend on the correlation properties of their sources. In this paper, we propose a technique for controlling the…

光学 · 物理学 2012-10-24 Mayukh Lahiri , Emil Wolf

With exotic propagation properties, optical Airy beams have been well studied for innovative applications in communications, biomedical imaging, micromachining, and so on. Here we extend those studies to the quantum domain, creating quantum…

We study the paraxial wave equation with a randomly perturbed index of refraction, which can model the propagation of a wave beam in a turbulent medium. The random perturbation is a stationary and isotropic process with a general form of…

偏微分方程分析 · 数学 2022-05-10 Liliana Borcea , Josselin Garnier , Knut Solna

A plane monochromatic wave propagates in vacuum at the velocity of c. However, wave packets limited in space and time are used to transmit energy and information. Here it has been shown based on the wave approach that the on-axis part of…

光学 · 物理学 2019-02-25 N. I. Petrov

Diffraction-free optical beams propagate freely without change in shape and scale. Monochromatic beams that avoid diffractive spreading require two-dimensional transverse profiles, and there are no corresponding solutions for profiles…

光学 · 物理学 2017-11-02 H. Esat Kondakci , Ayman F. Abouraddy