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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

The rich structure of transverse spatial modes of structured light has facilitated their extensive applications in quantum information and optical communication. The Laguerre-Gaussian (LG) modes, which carry a well-defined orbital angular…

The use of structured light beams to detect the velocity of targets moving perpendicularly to the beam's propagation axis opens new avenues for remote sensing of moving objects. However, determining the direction of motion is still a…

The transverse field profile of light is being recognized as a resource for classical and quantum communications for which reliable methods of sorting or demultiplexing spatial optical modes are required. Here, we demonstrate,…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Amit Bekerman , Sahar Froim , Barak Hadad , Alon Bahabad

We measure the rotational and translational velocity components of particles moving in helical motion using the frequency shift they induced to the structured light beam illuminating them. Under Laguerre-Gaussian mode illumination, a…

Beam displacement measurements are widely used in optical sensing and communications; however, their performance is affected by numerous intrinsic and extrinsic factors including beam profile, propagation loss, and receiver architecture.…

Optics · Physics 2025-03-11 Wenhua He , Christos N. Gagatsos , Dalziel J. Wilson , Saikat Guha

Along with the growing interest in using the transverse-spatial modes of light in quantum and classical optics applications, developing an accurate and efficient measurement method has gained importance. Here, we present a technique relying…

Quantum Physics · Physics 2020-01-08 Markus Hiekkamäki , Shashi Prabhakar , Robert Fickler

The transverse structure of light is recognized as a resource that can be used to encode information onto photons and has been shown to be useful to enhance communication capacity as well as resolve point sources in superresolution imaging.…

Wavefront errors are a common artifact in laser light generation and imaging. They can be described as an aberration from the spherical wavefront of an ideal Gaussian beam by combinations of higher-order Hermite- or Laguerre-Gaussian terms.…

Computational Physics · Physics 2024-01-31 Kevin Weber , Jonathan Joseph Carter , Sina Maria Koehlenbeck , Gudrun Wanner , Gerhard Heinzel

Recent developments in laser physics have called renewed attention to Laguerre-Gaussian (LG) beams of paraxial light. In this paper we consider the corresponding LG modes for the two-dimensional harmonic oscillator, which appear in the…

Quantum Physics · Physics 2009-11-13 Michael VanValkenburgh

We derive the quantum noise limit for the optical beam displacement of a TEM00 mode. Using a multimodal analysis, we show that the conventional split detection scheme for measuring beam displacement is non-optimal with 80% efficiency. We…

Quantum Physics · Physics 2009-11-10 Magnus T. L. Hsu , Vincent Delaubert , Ping Koy Lam , Warwick Bowen

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 propose a novel high-efficiency no-moving-parts Laguerre-Gauss (LG) spectrometer using two variable focus lenses and a variable sized pinhole that overcomes the limitations of the classical, projective, phase flattening technique for…

Optics · Physics 2016-12-13 Mumtaz Sheikh , Haad Yaqub Rathore , Sohaib Abdul Rehman

RF transmission in line-of-sight near field based on Hermite-Gaussian (HG) modes is developed. Multiple HG modes are transmitted and received using rectangular antenna arrays to form the basic modes and dimensions for MIMO transmission.…

Signal Processing · Electrical Eng. & Systems 2025-05-19 Chenxi Zhu

Thus, the results of our studies lie in developing and implementing the basic principles of digital sorting the Laguerre-Gauss modes by radial numbers both for a non-degenerate and a degenerate state of a vortex beam subject to…

Optics · Physics 2019-12-10 A. Volyar , M. Bretsko , Ya. Akimova , Yu. Egorov

The direct determination of the complete transversal state of an electromagnetic field and accompanying mode indices is essential for the proper quantification of all light-matter interactions. In particular light fields with cylindrical…

Optics · Physics 2011-12-02 Michael Mazilu , Areti Mourka , Tom Vettenburg , Kishan Dholakia

Improving three-dimensional (3D) localization precision is of paramount importance for super-resolution imaging. By properly engineering the point spread function (PSF), such as utilizing Laguerre-Gaussian (LG) modes and their…

Quantum Physics · Physics 2023-12-25 Chenyu Hu , Liang Xu , Ben Wang , Zhiwen Li , Yipeng Zhang , Yong Zhang , Lijian Zhang

Using continuous wave superposition of spatial modes, we demonstrate experimentally displacement measurement of a light beam below the standard quantum limit. Multimode squeezed light is obtained by mixing a vacuum squeezed beam and a…

Quantum Physics · Physics 2009-11-07 N. Treps , U. Andersen , B. Buchler , P. K. Lam , A. Maitre , H. -A. Bachor , C. Fabre

We develop a geometric description of structured Gaussian beams, a form a structured light, by applying geometric quantisation and symplectic reduction to the 2D harmonic oscillator. Our results show that the geometric quantisation of the…

Optics · Physics 2025-03-27 Kerr Maxwell

We describe a mode sorter for two-dimensional parity of transverse spatial states of light based on an out-of-plane Sagnac interferometer. Both Hermite-Gauss (HG) and Laguerre-Gauss (LG) modes can be guided into one of two output ports…

Quantum Physics · Physics 2009-11-13 C. C. Leary , L. A. Baumgardner , M. G. Raymer