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We develop a novel technique to measure small angular and lateral displacements of structured light beams. The technique relies on using high-order Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes, which have well-defined symmetry…

The efficient creation and detection of spatial modes of light has become topical of late, driven by the need to increase photon-bit-rates in classical and quantum communications. Such mode creation/detection is traditionally achieved with…

Detecting unmodeled gravitational wave (GW) bursts presents significant challenges due to the lack of accurate waveform templates required for matched-filtering techniques. A primary difficulty lies in distinguishing genuine signals from…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Matteo Pracchia , Sacha Peters , Maxime Fays

This manuscript derives explicit factors linking mode-mismatch-induced power losses, in Hermite-Gauss optical modes to the losses of the fundamental spatial mode. Higher order modes are found to be more sensitive to beam parameter…

Optics · Physics 2020-10-21 Aaron W. Jones , Andreas Freise

Convolutional Neural Networks (CNNs) have demonstrated potential for the real-time analysis of data from gravitational-wave detector networks for the specific case of signals from coalescing compact-object binaries such as black-hole…

Instrumentation and Methods for Astrophysics · Physics 2026-02-05 Vasileios Skliris , Michael R. K. Norman , Patrick J. Sutton

The accuracy and effectiveness of Hermite spectral methods for the numerical discretization of partial differential equations on unbounded domains, are strongly affected by the amplitude of the Gaussian weight function employed to describe…

Numerical Analysis · Mathematics 2021-04-07 Lorella Fatone , Daniele Funaro , Gianmarco Manzini

Higher-order Laguerre-Gauss (LG) modes have previously been investigated as a candidate for reducing test-mass thermal noise in ground-based gravitational-wave detectors like Advanced LIGO. It has been shown however that LG modes' fragility…

Instrumentation and Methods for Astrophysics · Physics 2021-04-07 Liu Tao , Anna C. Green , Paul Fulda

In this paper, we propose a geometric shaping (GS) strategy to design 8, 16, 32 and 64-ary modulation formats for the optical fibre channel impaired by both additive white Gaussian (AWGN) and phase noise. The constellations were optimised…

Information Theory · Computer Science 2021-02-03 Hubert Dzieciol , Gabriele Liga , Eric Sillekens , Polina Bayvel , Domaniç Lavery

We present a new technique for sensing optical cavity mode mismatch and alignment by using a cylindrical lens mode converting telescope, radio-frequency quadrant photodiodes, and a heterodyne detection scheme. The telescope allows the…

Mode-locking is predicted in a nanolaser cavity forming an effective photonic harmonic potential. The cavity is substantially more compact than a Fabry-Perot resonator with comparable pulsing period, which is here controlled by the…

Optics · Physics 2020-02-14 Yifan Sun , Sylvain Combrié , Fabien Bretenaker , Alfredo De Rossi

Test-mass thermal noise is a limiting noise source for current and next-generation ground-based gravitational-wave observatories. Uniform-intensity higher-order laser beams, including Laguerre-Gaussian (LG) and Hermite-Gaussian (HG) modes,…

Instrumentation and Methods for Astrophysics · Physics 2026-05-12 Liu Tao , Yuhang Zhao , Zong-Hong Zhu , Paul Fulda

Real-world visual data exhibit intrinsic hierarchical structures that can be represented effectively in hyperbolic spaces. Hyperbolic neural networks (HNNs) are a promising approach for learning feature representations in such spaces.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Ahmad Bdeir , Kristian Schwethelm , Niels Landwehr

Expressions are obtained for the Wigner function moments of a paraxial light beam represented by arbitrary coherent superposition of Hermite-Gaussian beams with plane wave fronts. Possibilities are discussed for application of the obtained…

Optics · Physics 2007-05-23 A. Ya. Bekshaev

We propose Hermite-NGP, a gradient-augmented multi-resolution hash encoding designed to enable fast and accurate computation of spatial derivatives for neural PDE solvers. Unlike existing NGP-based approaches that rely on automatic…

Machine Learning · Computer Science 2026-05-26 Jinjin He , Zhiqi Li , Sinan Wang , Bo Zhu

This work is focused on the morphological classification of galaxies following the Hubble sequence in which the different classes are arranged in a hierarchy. The proposed method, BCNN, is composed of two main modules. First, a…

Instrumentation and Methods for Astrophysics · Physics 2024-09-04 Jonathan Serrano-Pérez , Raquel Díaz Hernández , L. Enrique Sucar

EEG-based fatigue monitoring can effectively reduce the incidence of related traffic accidents. In the past decade, with the advancement of deep learning, convolutional neural networks (CNN) have been increasingly used for EEG signal…

Machine Learning · Computer Science 2025-01-28 Meiyan Xu , Qingqing Chen , Duo Chen , Yi Ding , Jingyuan Wang , Peipei Gu , Yijie Pan , Deshuang Huang , Xun Zhang , Jiayang Guo

With the development of data acquisition technology, large amounts of multi-channel data are collected and widely used in many fields. Most of them, such as RGB images and vector fields, can be expressed as different types of multi-channel…

Computer Vision and Pattern Recognition · Computer Science 2023-01-09 Hanlin Mo , Hua Li , Guoying Zhao

High-order Gaussian beams with multiple propagation modes have been studied for free-space optical communications. Fast classification of beams using a diffractive deep neural network, D2NN, has been proposed. D2NN optimization is important…

High-resolution representations are important for vision-based robotic grasping problems. Existing works generally encode the input images into low-resolution representations via sub-networks and then recover high-resolution…

Robotics · Computer Science 2022-09-19 Zhangli Zhou , Shaochen Wang , Ziyang Chen , Mingyu Cai , Zhen Kan

The locking of lasers to optical cavities is ubiquitously required in the field of precision interferometry such as Advanced LIGO to yield optimal sensitivity. Using higher-order Hermite-Gauss (HG) modes for the main interferometer beam has…

Instrumentation and Methods for Astrophysics · Physics 2023-10-25 Liu Tao , Anna C. Green , Paul Fulda