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Computation of high frequency solutions to wave equations is important in many applications, and notoriously difficult in resolving wave oscillations. Gaussian beams are asymptotically valid high frequency solutions concentrated on a single…

Analysis of PDEs · Mathematics 2009-05-30 Hailiang Liu , James Ralston

We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise homogeneous metamaterial. Our formulation was based on the…

Optics · Physics 2015-06-22 Tom G. Mackay , Akhlesh Lakhtakia

Physical mechanism for the geometric phase in terms of angular momentum exchange is elucidated. It is argued that the geometric phase arising out of the cyclic changes in the tranverse mode space of the Gaussian light beams is a…

Quantum Physics · Physics 2015-06-26 S C Tiwari

A ray-optics model is proposed to describe the vector beam transformation in a strongly focusing optical system. In contrast to usual approaches basing on the focused field distribution near the focal plane, we employ the transformed beam…

Optics · Physics 2015-05-14 A. Ya. Bekshaev

The Random Particle Mesh (RPM) method used to simulate turbulence-induced broadband noise in several aeroacoustic applications is extended to realise isotropic turbulence spectra. With this method turbulent fluctuations are synthesised by…

Computational Engineering, Finance, and Science · Computer Science 2016-03-24 Attila Wohlbrandt , Nan Hu , Sebastien Guerin , Roland Ewert

Ultracold quantum gases are usually prepared in conservative traps for quantum simulation experiments. The atomic density inhomogeneity, together with the consequent position-dependent energy and time scales of cold atoms in traditional…

Quantum Gases · Physics 2026-04-14 Tongtong Ren , Yirong Wang , Xiaoyu Dai , Xiaoxu Gao , Guangren Sun , Xue Zhao , Kuiyi Gao , Zhiyue Zheng , Wei Zhang

A centred system forms the coherent image of the optical field on a spherical cap, taken as an object, on another spherical cap, whose vertex and curvature center are the respective paraxial images of the vertex and center of the object…

Optics · Physics 2022-12-06 Pierre Pellat-Finet

We describe a generalized formalism, addressing the fundamental problem of reflection and transmission of complex optical waves at a plane dielectric interface. Our formalism involves the application of generalized operator matrices to the…

Optics · Physics 2023-02-28 Anirban Debnath , Nirmal K. Viswanathan

Via solution of appropriate variational problem it is shown that light beams with Gaussian spatial profile and sufficiently short duration provide maximal destruction of global coherence under nonlinear self-modulation.

Optics · Physics 2015-06-26 Mikalai U. Karelin , Alexander M. Lazaruk

In this paper, we have considered how to detect the processes of plane gravitational waves colliding. The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, and the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Dongdong Wei , Xinhe Meng , Bin Wang

In optics, mode conversion is an elegant way to switch between Hermite Gaussian and Laguerre Gaussian beam profiles and thereby impart orbital angular momentum onto the beam and to create vortices. In optics such vortex beams can be…

A concise method of deriving expressions for Gaussian-like solutions of the paraxial and d'Alembert equations is presented. This method is based on the Hankel transform. Choosing some Gaussian base functions with slight modifications of the…

Optics · Physics 2021-12-07 Tomasz Radożycki

We investigate interferometric techniques to estimate the deflection angle of an optical beam and compare them to the direct detection of the beam deflection. We show that quantum metrology methods lead to a unifying treatment for both…

Quantum Physics · Physics 2020-08-12 S. P. Walborn , G. H. Aguilar , P. L. Saldanha , L. Davidovich , R. L. de Matos Filho

Using a generalized Gaussian beam decomposition method we determine the propagation of a Laguerre-Gaussian beam that has passed through a thin nonlinear optical Kerr medium. The orbital angular momentum per photon of the beam is found to be…

Optics · Physics 2009-11-11 Weiya Zhang , Mark G. Kuzyk

Paraxial diffraction of monochromatic Gaussian beams by arbitrarily shaped polygonal apertures is analytically explored within the boundary diffraction wave theory framework. Exact closed-form expressions of the diffracted wavefield are…

Optics · Physics 2019-09-04 Riccardo Borghi

Pushing the limits of precision and reproducibility in ultrafast laser-based nanostructuring requires detailed control over the properties of the illumination. Most traditional methods of laser-based manufacturing rely on the simplicity of…

Optics · Physics 2023-06-13 Camilo Florian , Xiaohan Du , Craig B. Arnold

Ballistic electrons in solids can have mean free paths far larger than the smallest features patterned by lithography. This has allowed development and study of solid-state electron-optical devices such as beam splitters and quantum point…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Arthur W. Barnard , Alex Hughes , Aaron L. Sharpe , Kenji Watanabe , Takashi Taniguchi , David Goldhaber-Gordon

The weakly interacting trapped Bose gases have been customarily described using the mean-field approximation in the form of the Gross-Pitaevskii equation. The mean-field approximation, however, has certain limitations, in particular it can…

Atomic Physics · Physics 2009-11-11 H. H. Sorensen , D. V. Fedorov , A. S. Jensen

Recently, 3D Gaussian Splatting has emerged as a promising approach for modeling 3D scenes using mixtures of Gaussians. The predominant optimization method for these models relies on backpropagating gradients through a differentiable…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Toon Van de Maele , Ozan Catal , Alexander Tschantz , Christopher L. Buckley , Tim Verbelen

New experimental technique have been proposed to discuss the turbulence impact reduction using beam shaping technique. In first phase of experiments, turbulence Impacted Vortex beam shaping technique has been introduced for a propagating…

Optics · Physics 2025-10-28 Shouvik Sadhukhan , C. S. Narayanamurthy