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In protoplanetary disks, micron-sized dust grains coagulate to form highly porous dust aggregates. Because the optical properties of these aggregates are not completely understood, it is important to investigate how porous dust aggregates…

Earth and Planetary Astrophysics · Physics 2016-06-01 Ryo Tazaki , Hidekazu Tanaka , Satoshi Okuzumi , Akimasa Kataoka , Hideko Nomura

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

We present a Bayesian inference approach to estimating the cumulative mass profile and mean squared velocity profile of a globular cluster given the spatial and kinematic information of its stars. Mock globular clusters with a range of…

Astrophysics of Galaxies · Physics 2022-03-09 Gwendolyn M. Eadie , Jeremy J. Webb , Jeffrey S. Rosenthal

A semi-classical theory of coherent light scattering from an elongated sample of cold atoms exposed to an off-resonant laser beam is presented. The model, which is a direct extension of that of the collective atomic recoil laser (CARL),…

Condensed Matter · Physics 2007-05-23 R. Bonifacio , B. W. J. McNeil , N. Piovella , G. R. M. Robb

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

Methodology · Statistics 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

The light we receive from distant astrophysical objects carries information about their origins and the physical mechanisms that power them. The study of these signals, however, is complicated by the fact that observations are often a…

The suitability of using the angular peak shape of the coherent backscattered light for estimating the light transport parameters of biological media has been investigated. Milk and methylene blue doped milk were used as tissue phantoms for…

Medical Physics · Physics 2009-10-31 S. Anantha Ramakrishna , K. Divakara Rao

We study experimentally and theoretically mixing at the external boundary of a submerged turbulent jet. In the experimental study we use Particle Image Velocimetry and an Image Processing Technique based on the analysis of the intensity of…

Fluid Dynamics · Physics 2015-05-13 A. Eidelman , T. Elperin , N. Kleeorin , G. Hazak , I. Rogachevskii , O. Sadot , I. Sapir-Katiraie

When light travels through strongly scattering media with optical gain, the synergy between diffusive transport and stimulated emission can lead to lasing action. Below the threshold pump power, the emission spectrum is smooth and…

Optics · Physics 2016-02-17 Jason W. Merrill , Hui Cao , Eric R. Dufresne

We present a nonparametric Bayesian framework to infer radial distribution functions from experimental scattering measurements with uncertainty quantification using non-stationary Gaussian processes. The Gaussian process prior mean and…

Chemical Physics · Physics 2026-02-03 Harry W. Sullivan , Brennon L. Shanks , Matej Cervenka , Michael P. Hoepfner

We present a theoretical analysis of nearly monochromatic light propagation through a gas of two-level atoms using the Heisenberg-Langevin equation method. Our focus is on the evolution of the photon annihilation operator and its impact on…

Spatial characteristics of the optical-vortex (OV) beams created during the Gaussian beam diffraction by a grating with groove bifurcation are analyzed theoretically and numerically. In contrast to previous works, condition of small-angle…

Optics · Physics 2009-07-16 A. Bekshaev , O. Orlinska , M. Vasnetsov

Analytic solutions for steady-state expectation values of atomic quantities and second order correlations are obtained for a fully quantum treatment of two stationary dipole-coupled atoms driven in a standard geometric configuration by a…

Quantum Gases · Physics 2020-02-05 Petra Fersterer , R. J. Ballagh

We introduce a L\'evy-Lorentz gas in which a light particle is scattered by static point scatterers arranged on a line. We investigate the case where the intervals between scatterers $\{\xi_i \}$ are independent random variables identically…

Statistical Mechanics · Physics 2009-10-31 E. Barkai , V. Fleurov , J. Klafter

Small-angle scattering (SAS) is a key experimental technique for analyzing nano-scale structures in various materials.In SAS data analysis, selecting an appropriate mathematical model for the scattering intensity is critical, as it…

Data Analysis, Statistics and Probability · Physics 2024-01-22 Yui Hayashi , Shun Katakami , Shigeo Kuwamoto , Kenji Nagata , Masaichiro Mizumaki , Masato Okada

Modelling of inspection data for large scale physical systems is critical to assessment of their integrity. We present a general method for inference about system state and associated model variance structure from spatially distributed time…

Methodology · Statistics 2013-02-26 David Randell , Michael Goldstein , Philip Jonathan

Self-similar solutions of the coherent diffusion equation are derived and measured. The set of real similarity solutions is generalized by the introduction of a nonuniform phase surface, based on the elegant Gaussian modes of optical…

Quantum Physics · Physics 2015-05-19 O. Firstenberg , P. London , D. Yankelev , R. Pugatch , M. Shuker , N. Davidson

Bayesian model selection methods provide a self-consistent probabilistic framework to test the validity of competing scenarios given a set of data. We present a case study application to strong gravitational lens parametric models. Our goal…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-22 Irène Balmès , Pier-Stefano Corasaniti