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We theoretically study negative refraction of inhomogeneous waves at the interface of lossy isotropic media. We obtain explicit (up to the sign) expressions for the parameters of a wave transmitted through the interface between two lossy…

光学 · 物理学 2014-02-19 Vladimir Yu. Fedorov , Takashi Nakajima

The reflection spectrum of a probe light in a -type three-level atomic system coupled by an off-resonant standing-wave is investigated experimentally and theoretically. We show that the maximum value of reflection coefficient occurs when…

量子物理 · 物理学 2011-02-24 Hai-Tao Zhou , Miao-jun Guo , Da-Wei Wang , Jun-Xiang Zhang , Shi-Yao Zhu

We consider the wave equation in a bounded domain (eventually convex). Two kinds of inequality are described when occurs trapped ray. Applications to control theory are given. First, we link such kind of estimate with the damped wave…

偏微分方程分析 · 数学 2009-12-14 Kim Dang Phung

We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.

最优化与控制 · 数学 2014-07-03 Jonathan M. Borwein , Brailey Sims , Matthew K. Tam

A novel type of approximants is introduced, being based on the ideas of self-similar approximation theory. The method is illustrated by the examples possessing the structure typical of many problems in applied mathematics. Good numerical…

数学物理 · 物理学 2017-02-03 S. Gluzman , V. I. Yukalov

Frustrated total internal reflection is analyzed from an unusual point of view Unlike most similar works, incident angles are used here as the scanning variable, instead of the tunneled film thickness. The theoretical framework is presented…

Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and…

An uncommon double-ray scenario of light resonant scattering by a periodic metasurface is proposed to provide strong non-specular reflection. The metasurface is constracted as an array of silicon nanodisks placed on thin silica-on-metal…

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…

光学 · 物理学 2023-06-13 Takeyuki Kobayashi

Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving rise to effective dispersive effects. The main achievement of…

偏微分方程分析 · 数学 2024-02-22 Mitia Duerinckx , Antoine Gloria , Matthias Ruf

We consider inverse problems for non-linear hyperbolic and elliptic equations and give an introduction to the method based on the multiple linearization, or on the construction of artificial sources, to solve these problems. The method is…

偏微分方程分析 · 数学 2025-03-18 Matti Lassas

Using exact solutions, we show that it is in principle possible to regard waves and particles as representations of the same underlying geometry, thereby resolving the problem of wave-particle duality.

广义相对论与量子宇宙学 · 物理学 2009-11-11 Paul S. Wesson

We present here a general approach to treat reflection and refraction of light of arbitrary polarization from single axis anisotropic plates. We show that reflection from interface inside the anisotropic medium is accompanied by beam…

综合物理 · 物理学 2015-03-17 Filipp V. Ignatovich , Vladimir Ignatovich

A new approach for analyzing waveguide junctions containing conductive cylindrical objects is proposed. The algorithm is based on mode matching technique using local projection functions, which improves the numerical conditioning of the…

计算工程、金融与科学 · 计算机科学 2026-01-12 Malgorzata Warecka , Rafal Lech , Piotr Kowalczyk

This work is concerned with a singularly perturbed stochastic nonlinear wave equation with a random dynamical boundary condition. A splitting skill is used to derive the approximating equation of the system in the sense of probability…

偏微分方程分析 · 数学 2012-08-30 Guanggan Chen , Jinqiao Duan , Jian Zhang

Learning neural radiance fields of a scene has recently allowed realistic novel view synthesis of the scene, but they are limited to synthesize images under the original fixed lighting condition. Therefore, they are not flexible for the…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Quan Zheng , Gurprit Singh , Hans-Peter Seidel

The refraction of light by dispersion-free dielectric media can be modeled using well-localized macroscopic wave packets, enabling a description in terms of pseudo-particles. This approach is often used in thought experiments to illustrate…

经典物理 · 物理学 2025-03-07 R. Dengler

Coherent control of wave transmission and reflection is crucial for applications in communication, imaging, and sensing. However, many practical scenarios involve partially coherent waves rather than fully coherent ones. We present a…

光学 · 物理学 2024-08-13 Cheng Guo , Shanhui Fan

Neural Radiance Fields (NeRFs) typically struggle to reconstruct and render highly specular objects, whose appearance varies quickly with changes in viewpoint. Recent works have improved NeRF's ability to render detailed specular appearance…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Dor Verbin , Pratul P. Srinivasan , Peter Hedman , Ben Mildenhall , Benjamin Attal , Richard Szeliski , Jonathan T. Barron

We theoretically investigate the correlation functions of the phase of a light wave propagating through a turbulent medium. We use an equation for the logarithm of a wave packet envelope, which includes a second-order nonlinear term. Based…

光学 · 物理学 2026-01-14 I. V. Kolokolov , V. V. Lebedev