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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 provide new single-integral formulas of the power spectral density of single-channel and cross-channel nonlinear interference in highly-dispersed coherent optical links for which the Gaussian Noise model [1], [2] applies.

Optics · Physics 2013-09-03 Alberto Bononi , Ottma Beucher

Motivated by the analysis of spectrometric data, we introduce a Gaussian graphical model for learning the dependence structure among frequency bands of the infrared absorbance spectrum. The spectra are modeled as continuous functional data…

Coherent ptychographic imaging experiments often discard over 99.9 % of the flux from a light source to define the coherence of an illumination. Even when coherent flux is sufficient, the stability required during an exposure is another…

Optics · Physics 2019-06-10 Huibin Chang , Pablo Enfedaque , Yifei Lou , Stefano Marchesini

We present a theory and computation method of radiation pressure from partially coherent light by establishing a coherent mode representation of the radiation forces. This is illustrated with the near field emitted from a Gaussian Schell…

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

A Gaussian quantum theory of bosonic modes has been widely used to describe quantum optical systems, including coherent Ising machines (CIMs) that consist of $\chi^{(2)}$ degenerate optical parametric oscillators (DOPOs) as nonlinear…

Quantum Physics · Physics 2024-03-04 Yoshitaka Inui , Edwin Ng , Yoshihisa Yamamoto

High harmonic generation (HHG) is an established means of producing coherent, short wavelength, ultrafast pulses from a compact set-up. Table-top high-harmonic sources are increasingly being used to image physical and biological systems…

We construct 3-D solutions of Maxwell's equations that describe Gaussian light beams focused by a strong lens. We investigate the interaction of such beams with single atoms in free space and the interplay between angular and quantum…

Quantum Physics · Physics 2009-11-06 S. J. van Enk , H. J. Kimble

We consider the light scattering problem for a Gaussian beam and a (spherical) particle at arbitrary location. Within the beam cross section, the total electromagnetic field is the superposition of the incident beam and the scattered wave.…

Optics · Physics 2025-04-09 Jonas Gienger

A beam of holes formed in graphene by a collimating contact is imaged using a liquid-He cooled scanning probe microscope (SPM). The mean free path of holes is greater than the device dimensions. A zigzag shaped pattern on both sides of the…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Sagar Bhandari , Mary Kreidel , Alexander Kelser , Gil-Ho Lee , Kenji Watanabe , Takashi Taniguchi , Philip Kim , Robert M Westervelt

We propose GauS-SLAM, a dense RGB-D SLAM system that leverages 2D Gaussian surfels to achieve robust tracking and high-fidelity mapping. Our investigations reveal that Gaussian-based scene representations exhibit geometry distortion under…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yongxin Su , Lin Chen , Kaiting Zhang , Zhongliang Zhao , Chenfeng Hou , Ziping Yu

We study the interference between two parallel-propagating Gaussian beams, originated from the same source, as their transverse separation is tuned. The interference pattern as a function of such separation lead us to determine the spatial…

The degree to which gamma ray bursts are collimated is now the dominant uncertainty in their energy requirements and event rates. In this review I begin with the reasons for studying GRB collimation, then discuss existing tests for…

Astrophysics · Physics 2017-08-23 James E. Rhoads

The General Spectral Modeling (GSM) code employs the quasi-static approximation, a standard, low-density methodology that assumes the ionization balance is separable from a determination of the excited-state populations that give rise to…

Atomic Physics · Physics 2008-11-26 Justin Oelgoetz , Christopher J. Fontes , Hong Lin Zhang , Anil K. Pradhan

We develop here a semiparametric Gaussian mixture model (SGMM) for unsupervised learning with valuable spatial information taken into consideration. Specifically, we assume for each instance a random location. Then, conditional on this…

Methodology · Statistics 2025-10-21 Baichen Yu , Jin Liu , Hansheng Wang

In the context of simulating precision laser interferometers, we compare via several examples two wavefront decomposition methods: the Mode Expansion Method (MEM) and the Gaussian beam decomposition (GBD) for their precision and…

Differential spectra of coherent photon bremsstrahlung in relativistic heavy ion collisions are calculated within various schematic models of the projectile-target stopping. Two versions of the degradation length model, based on a…

High Energy Physics - Phenomenology · Physics 2009-10-31 U. Eichmann , C. Ernst , W. Greiner , L. Satarov

Graphical models are ubiquitous tools to describe the interdependence between variables measured simultaneously such as large-scale gene or protein expression data. Gaussian graphical models (GGMs) are well-established tools for…

Methodology · Statistics 2020-01-09 Nilabja Guha , Veera Baladandayuthapani , Bani K. Mallick

The pencil-beam model is valid only when elementary Gaussian beams are small enough with respect to lateral heterogeneity of a medium, which is not always the case in heavy charged particle radiotherapy. This work addresses a solution for…

Medical Physics · Physics 2009-03-17 Nobuyuki Kanematsu , Masataka Komori , Shunsuke Yonai , Azusa Ishizaki