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Based on the Kirchhoff-Fresnel approximation, we consider behavior of the optical vortices (OV) upon propagation of the diffracted Laguerre-Gaussian (LG) beams with topological charge |m| = 1, 2. Under conditions of weak diffraction…

In this paper, we propose a novel gradient-free and dimensionality-independent sampler, the Geometric Optics Approximation Sampling (GOAS), based on a near-field reflector system. The key idea involves constructing a reflecting surface that…

Numerical Analysis · Mathematics 2025-10-17 Zejun Sun , Guang-Hui Zheng

We show, both theoretically and experimentally, that the propagation of optical vortices in free space can be analysed by using the width ($w(z)$) of the host Gaussian beam and the inner and outer radii of the vortex beam at the source…

Surface plasmon polaritons have received much attention over the last decades in photonics or nanotechnology due to their inherent high sensitivity to metal surface variations (e.g., presence of adsorbates or changes in the roughness). It…

Optics · Physics 2025-07-09 J. Hernández-Rueda , A. S. Sanz , R. Martínez-Herrero

In conical refraction, when a focused Gaussian beam passes along one of the optic axes of a biaxial crystal it is transformed into a pair of concentric bright rings at the focal plane. We demonstrate both theoretically and experimentally…

The Gaussian beam superposition method is an asymptotic method for computing high frequency wave fields in smoothly varying inhomogeneous media. In this paper we study the accuracy of the Gaussian beam superposition method and derive error…

Numerical Analysis · Mathematics 2010-02-04 Mohammad Motamed , Olof Runborg

A purely analytical extension of the flattened Gaussian beams [Opt. Commun. \textbf{107,} 335 (1994)] to any values of the beam order, is here proposed. Due to it, the paraxial propagation problem of axially symmetric, coherent flat-top…

Optics · Physics 2023-03-22 Riccardo Borghi

We explore the use of higher-order Hermite-Gauss modes for sensing optically induced transverse displacements. In the small-displacement regime, we show that projective measurements onto the two neighboring spatial modes yield optimal…

Optics · Physics 2025-06-04 Dilip Paneru , Alessio D'Errico , Ebrahim Karimi

We investigate controlling the lateral Goos-H\"{a}nchen (GH) shift for a TM-polarized field reflected from Otto structure containing four level N-type atomic medium. The N-type atomic configuration can be formed by coupling the standard…

Optics · Physics 2026-05-21 Magdi Bajusair , Mohammad H. Alhakami , Saeed Asiri

Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can also be extended to some dispersive wave equations, such as…

Numerical Analysis · Mathematics 2011-06-03 Hailiang Liu , Olof Runborg , Nicolay M. Tanushev

We introduce a hybrid Gaussian-hash-grid radiance representation for reconstructing 2D Gaussian scene models from multi-view images. Similar to NeST splatting, our approach reduces the entanglement between geometry and appearance common in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Neel Kelkar , Simon Niedermayr , Klaus Engel , Rüdiger Westermann

We study the free-space propagation of products of displaced Laguerre--Gaussian beams. Each displaced factor admits an exact representation as a superposition of standard Laguerre--Gaussian beam modes through the optical analog of displaced…

Optics · Physics 2026-02-10 G. Mellado-Villaseñor , B. M. Rodríguez-Lara

We investigate the propagation of Gaussian beams through optical waveguide lattices characterized by correlated non-Hermitian disorder. In the framework of coupled mode theory, we demonstrate how the imaginary part of the refractive index…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , S. Rotter , E. N. Economou

We demonstrate the spin to orbital angular momentum transfer in the nonlinear mixing of structured light beams. A vector vortex is coupled to a circularly polarized Gaussian beam in noncollinear second harmonic generation under type-II…

We derive analytical expressions for the photon polarization tensor in circularly polarized Hermite- and Laguerre-Gaussian beams, complementing the corresponding results for linearly polarized beams obtained recently. As they are based upon…

High Energy Physics - Phenomenology · Physics 2018-03-08 Felix Karbstein , Elena A. Mosman

We investigate the cubic interactions of a massless higher-spin fermion with gravity in flat space and present covariant 2-s-s vertices, compatible with the gauge symmetries of the system, preserving parity. This explicit construction…

High Energy Physics - Theory · Physics 2015-06-17 Marc Henneaux , Gustavo Lucena Gomez , Rakibur Rahman

The paper considers the propagation of Laguerre-Gaussian beams in a turbulent gas medium. As demonstrated by numerical modelling and the decomposition of Laguerre-Gaussian modes according to the basis of orthogonal Zernike polynomials,…

Optics · Physics 2025-12-05 D. D. Reshetnikov , A. S. Losev

The Hermite-Gaussian (HG) modes make up a complete and orthonormal basis, which have been extensively used to describe optical fields. Here, we demonstrate, for the first time to our knowledge, deep learning-based modal decomposition (MD)…

Optics · Physics 2019-07-18 Yi An , Tianyue Hou , Jun Li , Liangjin Huang , Jinyong Leng , Lijia Yang , Pu Zhou

We investigate mode conversion of $\mathrm{TEM}_{00}$ Gaussian beams upon transmission through planar dielectric interfaces. We show that the angle-dependent Fresnel coefficients act as a spatial filter, inevitably generating higher-order…

Optics · Physics 2026-04-08 Eli Meril

We introduce a simple yet effective approach for separating transmitted and reflected light. Our key insight is that the powerful novel view synthesis capabilities provided by modern inverse rendering methods (e.g.,~3D Gaussian splatting)…

Computer Vision and Pattern Recognition · Computer Science 2024-10-04 Mingyang Xie , Haoming Cai , Sachin Shah , Yiran Xu , Brandon Y. Feng , Jia-Bin Huang , Christopher A. Metzler