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Numerical solutions of stationary diffusion equations on the unit sphere with isotropic lognormal diffusion coefficients are considered. H\"older regularity in $L^p$ sense for isotropic Gaussian random fields is obtained and related to the…

Probability · Mathematics 2023-12-06 Lukas Herrmann , Annika Lang , Christoph Schwab

The present study deals with total internal reflection of a plane electromagnetic wave at an infinite plane boundary between a transparent medium and an amplifying or attenuating lower-index medium. Solutions of Maxwell's equations are…

Optics · Physics 2023-06-13 Takeyuki Kobayashi

In Optics it is common to split up the formal analysis of diffraction according to two convenient approximations, in the near and far fields (also known as the Fresnel and Fraunhofer regimes, respectively). Within this scenario, geometrical…

Classical Physics · Physics 2022-04-25 Almudena García-Sánchez , Ángel S. Sanz

We present a Monte Carlo rendering framework for the physically-accurate simulation of speckle patterns arising from volumetric scattering of coherent waves. These noise-like patterns are characterized by strong statistical properties, such…

Optics · Physics 2019-01-23 Chen Bar , Marina Alterman , Ioannis Gkioulekas , Anat Levin

The optical medium analogy of a radiation field generated by either an exact gravitational plane wave or an exact electromagnetic wave in the framework of general relativity is developed. The equivalent medium of the associated background…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Pierluigi Fortini , Andrea Geralico , Maria Haney , Antonello Ortolan

Quantitative photoacoustic tomography aims at estimating optical parameters from photoacoustic images that are formed utilizing the photoacoustic effect caused by the absorption of an externally introduced light pulse. This optical…

Medical Physics · Physics 2020-10-02 Aleksi Leino , Tuomas Lunttila , Meghdoot Mozumder , Aki Pulkkinen , Tanja Tarvainen

We modify the reweighting factor of the projector used in diffusion Monte Carlo to reduce the time-step error of the total energy. Further, we present a reweighting scheme that has the desirable feature that it is exactly size-consistent,…

Chemical Physics · Physics 2024-03-18 Tyler A. Anderson , Manolo C. Per , C. J. Umrigar

In this work we examine refraction of light by computing full solutions to axion electrodynamics. We also allow for the possibility of an additional plasma component. We then specialise to wavelengths which are small compared to background…

High Energy Physics - Phenomenology · Physics 2020-09-01 Jamie I. McDonald , Luís B. Ventura

We derive from first principles the expression for the angular/wavelength distribution of the intensity diffracted by a blazed reflective grating, according to a scalar theory of diffraction. We considered the most common case of a groove…

Optics · Physics 2015-06-22 R. Casini , P. G. Nelson

We characterize the interaction between a single atom or similar microscopic system and a light field via the scattering ratio. For that, we first derive the electrical field in a strongly focused Gaussian light beam, and then consider the…

In this work, we present a detailed procedure of computer implementation of the laws of refraction and reflection on an arbitrary surface with rotational symmetry with respect to the propagation axis. The goal is to facilitate the…

Optics · Physics 2025-01-07 J. E. Gómez-Correa , A. L. Padilla-Ortiz , S. Chávez-Cerda

When a strong magnetostatic field is present, vacuum effectively appears as a linear, uniaxial, dielectric-magnetic medium for small-magnitude optical fields. The availability of the frequency-domain dyadic Green function when the…

Optics · Physics 2007-08-16 Akhlesh Lakhtakia , Tom G. Mackay

Predicting the optical response of macroscopic arrangements of individual scatterers is a computational challenge, as the problem involves length scales across multiple orders of magnitude. We present a full-wave optical method to highly…

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

We study light scattering by a hedgehog-like and linear disclination topological defects in a nematic liquid crystal by a metric approach. Light propagating near such defects feels an effective metric equivalent to the spatial part of the…

Soft Condensed Matter · Physics 2013-01-23 E. Pereira , F. Moraes

The surface current method known in the theory of electromagnetic waves diffraction is generalized to be applied for the problems of diffraction radiation generated by a charged particle moving nearby an ideally-conducting screen in vacuum.…

Accelerator Physics · Physics 2009-11-05 D. V. Karlovets , A. P. Potylitsyn

We present a method which extends Monte Carlo studies to situations that require a large dynamic range in particle number. The underlying idea is that, in order to calculate the collisional evolution of a system, some particle interactions…

Astrophysics · Physics 2009-11-13 C. W. Ormel , M. Spaans

In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal…

Computational Physics · Physics 2022-05-25 Hector Lopez-Menchon , Juan M. Rius , Alexander Heldring , Eduard Ubeda

We present a simple method for calculation of diffraction effects in a beam passing an aperture. It follows the well-known approach of Miyamoto and Wolf, but is simpler and does not lead to singularities. It is thus shown that in the…

Optics · Physics 2020-01-29 Eitam Luz , Er'el Granot , Boris Malomed

This paper introduces a practical and accurate calibration method for camera spectral sensitivity using a diffraction grating. Accurate calibration of camera spectral sensitivity is crucial for various computer vision tasks, including color…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Lilika Makabe , Hiroaki Santo , Fumio Okura , Michael S. Brown , Yasuyuki Matsushita