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The Hermite-Gaussian (HG) modes, sometimes also referred to as transverse electromagnetic modes in free space, form a complete and orthonormal basis that have been extensively used to describe optical fields. In addition, these modes have…

In laser-based free-space optical communication, besides OAM beams, Hermite-Gaussian (HG) modes or HG-mode coherently composed states (HG-MCCS) can also be adopted as the information carrier to extend the channel capacity with the spatial…

Channel capacity lies at the core of wireless communication, yet determining it typically requires detailed channel information between the transmitter and receiver. For near field MIMO systems, obtaining the detailed native channel is…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Chenxi Zhu

We experimentally demonstrate the conversion of a fundamental $\text{TEM}_{00}$ laser mode at 1064\,nm to higher order Hermite-Gaussian modes (HG) of arbitrary order via a commercially available liquid crystal Spatial Light Modulator (SLM).…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Stefan Ast , Sibilla Di Pace , Jacques Millo , Mikhael Pichot , Margherita Turconi , Walid Chaibi

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

The different dynamical behaviors of the Hermite-Gaussian (HG) modes of mode-locked nanolasers based on a harmonic photonic cavity are investigated in detail using a model based on a modified Gross-Pitaevskii Equation. Such nanolasers are…

Optics · Physics 2020-10-14 Yifan Sun , Sylvain Combrié , Alfredo De Rossi , Fabien Bretenaker

Generalised Hermite-Gaussian modes (gHG modes), an extended notion of Hermite-Gaussian modes (HG modes), are formed by the summation of normal HG modes with a characteristic function $\alpha$, which can be used to unite conventional HG…

Optics · Physics 2016-07-20 Yi Wang , Yujie Chen , Yanfeng Zhang , Hui Chen , Siyuan Yu

Higher-order spatial laser modes have recently been investigated as candidates for reducing test-mass thermal noise in ground-based gravitational-wave detectors such as advanced LIGO. In particular, higher-order Hermite-Gauss (HG) modes…

Instrumentation and Methods for Astrophysics · Physics 2024-03-11 Liu Tao , Paul Fulda

We investigate Hermite Gaussian Imaging (HGI) -- a novel passive super-resolution technique -- for complex 2D incoherent objects in the sub-Rayleigh regime. The method consists of measuring the field's spatial mode components in the image…

Optics · Physics 2023-09-20 Jernej Frank , Alexander Duplinskiy , Kaden Bearne , A. I. Lvovsky

Spatial modes are a promising candidate for encoding information for classical and quantum optical communication due to their potential high information capacity. Unfortunately, compensation of the wavefront upon propagation through the…

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

The paper aims at presenting a didactic and self-contained overview of Gauss-Hermite and Gauss-Laguerre laser beam modes. The usual textbook approach for deriving these modes is to solve the Helmoltz electromagnetic wave equation within the…

Optics · Physics 2007-05-23 Francesco Pampaloni , Joerg Enderlein

The convolutional neural networks (CNNs) are not inherently shift invariant or equivariant. The downsampling operation, used in CNNs, is one of the key reasons which breaks the shift invariant property of a CNN. Conversely, downsampling…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Jaspreet Singh , Petra Bosilj , Grzegorz Cielniak

The self-healing property of laser beams is of great interest. And a laser beam with spatial structures is also widely concerned due to its important applications in lots of areas. We theoretically and experimentally investigate the…

Optics · Physics 2021-12-22 Suyi Zhao , Zilong Zhang , Yuan Gao , Xin Wang , YuChen Jie , Changming Zhao

We studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the photon orbital angular momentum. The intensity profile is…

High harmonic generation (HHG) is a nonlinear process that enables table-top generation of tunable, high-energy, coherent, ultrashort radiation pulses in the extreme ultraviolet (EUV) to soft X-ray range. These pulses find applications in…

The multiple lobes of high order Hermite-Gaussian (HG) laser modes differ in terms of shape, size, and optical energy distribution. Here, we introduce a generic numerical method that redistributes optical energy among the lobes of high…

Optics · Physics 2021-02-16 Hemant Kumar Meena , Brijesh Kumar Singh

We demonstrate that a triangular cavity can operate as an efficient discriminator for Hermite-Gaussian optical modes. The process is applied to distinct fields produced by a Spatial Light Modulator, decomposing the generated paraxial field…

As a critical cue for understanding human intention, human gaze provides a key signal for Human-Computer Interaction(HCI) applications. Appearance-based gaze estimation, which directly regresses the gaze vector from eye images, has made…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Shaobo Guo , Xiao Jiang , Zhizhong Su , Rui Wu , Xin Wang

Vector modes are well-defined field distributions with spatially varying polarisation states, rendering them irreducible to the product of a single spatial mode and a single polarisation state. Traditionally, the spatial degree of freedom…

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