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The behavior of instantaneous and averaged vectors of the Poynting vector transverse component for the resulting field formed as a superposition of waves with different frequencies and different polarizations is considered. Results of…

Optics · Physics 2020-06-24 I. Mokhun , I. Bodyanchuk , K. Galushko , Y. Galushko , O. Val , Y. Viktorovskaya

Multi-exposure image fusion is a method for producing an image with a wide dynamic range by fusing multiple images taken under various exposure values. In this paper, we discuss color distortion included in fused images, and propose a novel…

Image and Video Processing · Electrical Eng. & Systems 2019-07-29 Artit Visavakitcharoen , Yuma Kinoshita , Hitoshi Kiya

Similarly to how charged particles experience time-averaged ponderomotive forces in high-frequency fields, linear waves also experience time-averaged refraction in modulated media. Here we propose a covariant variational theory of this…

Plasma Physics · Physics 2017-03-22 D. E. Ruiz , I. Y. Dodin

A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude travelling water waves in irrotational flows and in flows with…

Fluid Dynamics · Physics 2014-08-12 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer

Hawking radiation has become experimentally testable thanks to the many analogue systems which mimic the effects of the event horizon on wave propagation. These systems are typically dominated by dispersion, and give rise to a numerically…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Scott Robertson , Ulf Leonhardt

A fundamental manifestation of wave scattering in a disordered medium is the highly complex intensity pattern the waves acquire due to multi-path interference. Here we show that these intensity variations can be entirely suppressed by…

We consider reaction-diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, coloured in space, and invariant under translations. In the deterministic setting,…

Analysis of PDEs · Mathematics 2024-06-07 Mark van den Bosch , Hermen Jan Hupkes

We introduce a loss compensation method to increase the resolution of near-field imaging with a plasmonic superlens that relies on the convolution of a high spatial frequency passband function with the object. Implementation with incoherent…

Optics · Physics 2018-01-23 Wyatt Adams , Anindya Ghoshroy , Durdu Ö. Güney

We demonstrate numerically a method of focusing two-photon field inside one-dimensional random media. The approach is based on coherent control of backscattering achieved by adaptive spectral pulse shaping. The spectral phases of a…

Optics · Physics 2016-03-02 Alex C. Han , Valery Milner

We present a method for two-scale model derivation of the periodic homogenization of the one-dimensional wave equation in a bounded domain. It allows for analyzing the oscillations occurring on both microscopic and macroscopic scales. The…

Analysis of PDEs · Mathematics 2013-12-04 Thi Trang Nguyen , Michel Lenczner , Matthieu Brassart

The narrow and wide-angle parabolic equations for the quasi-monochromatic sound wave packets propagating in a waveguide with a non-stationary background flow are obtained. The results of numerical simulations are presented.

Atmospheric and Oceanic Physics · Physics 2009-09-02 M. Yu. Trofimov

A weakly nonlinear model for two-dimensional Faraday waves over infinite depth is derived and studied. Sideband instability of monochromatic standing waves as well as non-monochromatic solutions are studied analytically. Persistent…

patt-sol · Physics 2008-02-03 I. Keller , A. Oron , P. Z. Bar-Yoseph

Wave effects are often neglected in microlensing studies; however, for coherent point-like sources, such as pulsars and fast radio bursts (FRBs), wave effects will become important in their gravitational lensing. In this paper, we describe…

High Energy Astrophysical Phenomena · Physics 2020-08-12 Dylan L. Jow , Simon Foreman , Ue-Li Pen , Wei Zhu

Dispersion decomposes compound light into monochromatic components at different spatial locations, which needs to be eliminated in imaging but utilized in spectral detection. Metasurfaces provide a unique path to modulate the dispersion…

Optics · Physics 2021-12-30 Yueqiang Hu , Yuting Jiang , Yi Zhang , Jiajie Lai , Peng He , Xiangnian Ou , Ling Li , Huigao Duan

A design method for chromatic dispersion compensation filters realized using overlap-save processing in the frequency domain is proposed. Based on the idea to use the values that are normally zero-padded, better results than using optimal…

Signal Processing · Electrical Eng. & Systems 2023-08-14 Oscar Gustafsson , Cheolyong Bae , Hakan Johansson

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Analysis of PDEs · Mathematics 2020-12-01 Nikolay Kuznetsov

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

Mathematical Physics · Physics 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

A general local approach for the definition of velocities and especially phase velocities for waves recently proposed for one-dimensional waves is generalized for 2 and 3 dimensional scalar wave. A geometrically consistent generalization…

Mathematical Physics · Physics 2007-05-23 I. V. Drozdov , A. A. Stahlhofen

There are investigated amplitude-phase method of the moving object bearing when there are used orthogonal linear polarized radio signals illuminated simultaneously from two horizontally spaced points with known co-ordinates. The bearing is…

Signal Processing · Electrical Eng. & Systems 2020-12-24 V L Gulko , A A Mescheryakov

Wave amplification in nonlinear dispersive wave equations may be caused by nonlinear focussing of waves from a certain background. In the model of nonlinear Schr\"odinger equation we will introduce a transformation to displaced…

Pattern Formation and Solitons · Physics 2019-06-05 E. van Groesen , Andonowati , N. Karjanto