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In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

Analysis of PDEs · Mathematics 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

The basic physical problems that necessitated the emergence of quantum physics are summarized, along with the elements of wave mechanics and its traditional statistical interpretation. Alternative interpretations to the statistical one,…

Quantum Physics · Physics 2007-05-23 David Delphenich

The basic purpose of this work is to demonstrate, by quite simple and explicit calculation, the possibility that a simple laminate composed of ordinary materials can display the kind of response associated with a "metamaterial".…

Materials Science · Physics 2013-10-25 John Willis

We show that an electromagnetic (EM) wave undergoes negative refraction at the interface between a positive and negative refractive index material. Finite difference time domain (FDTD) simulations are used to study the time evolution of an…

Condensed Matter · Physics 2009-11-07 S. Foteinopoulou , E. N. Economou , C. M. Soukoulis

The spreading of quantum mechanical wave packets is studied in two cases. Firstly we look at the time behavior of the packet width of a free particle confined in the observable Universe. Secondly, by imposing the conservation of the time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. C. G. Caldas , P. R. Silva

Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively different from any uniform substance. The differences are particularly pronounced when the electromagnetic wavelength is comparable to the…

Optics · Physics 2007-05-23 A. Figotin , I. Vitebskiy

The identification of the refractive index and wave vector for general (possibly active) linear, isotropic, homogeneous, and non-spatially dispersive media is discussed. Correct conditions for negative refraction necessarily include the…

Optics · Physics 2009-11-13 Johannes Skaar

Negative refraction is known to occur in materials that simultaneously possess a negative electric permittivity and magnetic permeability; hence they are termed negative index materials. However, there are no known natural materials that…

We examine the interaction between floating cylindrical objects and surface waves in the gravity regime. Since the impact of resonance phenomena associated with floating bodies, particularly at laboratory scales, remains underexplored, we…

We demonstrate that light is subject to anomalous (i.e., negative) diffraction when propagating in the presence of hyperbolic dispersion. We show that light propagation in hyperbolic media resembles the dynamics of a quantum particle of…

In the current work we investigate the propagation of electromagnetic waves in the field of gravitational waves. Starting with simple case of an electromagnetic wave travelling in the field of a plane monochromatic gravitational wave we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. G. Polnarev , D. Baskaran

This short note is about the gauge condition for the velocity potential, the definitions of the Bernoulli constant and of the velocity speeds in the context of water waves. These definitions are often implicit and thus the source of…

Fluid Dynamics · Physics 2017-05-31 Didier Clamond

Our main purpose here is to study some qualitative aspects of space and time. These include the notion of space and time regarded as the containers of respectively bodies and events, the divisibility of space, and the unrepeatability of…

History and Philosophy of Physics · Physics 2012-05-09 Mauricio Mondragon , Luis Lopez

We consider some specific models of non-minimal matter-geometry coupling theories and investigate the propagation of the gravitational waves in them. Extracting the temporal evolution of the gravitational wave equation within the framework…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Tahereh Azizi , Najibe Borhani , Mojtaba Haghshenas

We consider the possibility that the primordial fluctuations (scalar and tensor) might have been standing waves at their moment of creation, whether or not they had a quantum origin. We lay down the general conditions for spatial…

General Relativity and Quantum Cosmology · Physics 2018-03-21 Giulia Gubitosi , Joao Magueijo

Gravitational waves (GWs) can alter the neutrino propagation distance and thus affect neutrino oscillations. This can result in a complete disappearance of the oscillatory behavior that competes with other sources of neutrino decoherence.…

High Energy Physics - Phenomenology · Physics 2024-11-12 Dominik Hellmann , Sara Krieg , Heinrich Päs , Mustafa Tabet

The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear…

General Relativity and Quantum Cosmology · Physics 2017-11-22 R. R. Caldwell , C. Devulder , N. A. Maksimova

The free-space transfer of high-fidelity optical signals between remote locations has many applications, including both classical and quantum communication, precision navigation, clock synchronization, etc. The physical processes that…

Quantum Physics · Physics 2017-07-21 D. Vasylyev , A. A. Semenov , W. Vogel

The classical characterization of \wp, as a typical concept for far field phenomena, has been successfully applied to many \w phenomena in past decades. The recent reports of superluminal tunnelling times and negative group velocities…

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

The purpose of this paper is twofold - to demonstrate that in the gravitational redshift it is the frequency a photon that is constant, and to describe the mechanism responsible for the change of its wavelength.

General Relativity and Quantum Cosmology · Physics 2011-11-18 Vesselin Petkov