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The impossibility of sending pulses of radio waves (Morse codes) through an ionized medium, despite the superluminal phase velocity of the constituent modes, has been demonstrated in many and various ways; essentially the reason is because…

General Physics · Physics 2025-08-15 Richard Lieu

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

We analyze the propagation of electromagnetic waves in media where the dielectric constants undergo rapid temporal periodic modulation. Both spatially homogeneous and periodic media are studied. Fast periodic temporal modulation of the…

Three-dimensional turbulence simulations are used to show that the turbulent root mean square velocity is an upper bound of the speed of turbulent diffusion. There is a close analogy to magnetic diffusion where the maximum diffusion speed…

Fluid Dynamics · Physics 2007-05-23 Axel Brandenburg , Petri Käpylä , Amjed Mohammed

Light propagation in chiral media is discussed. We derive the wave equations for a probe pulse propagating through a chiral medium, and solve them analytically in Fourier space using the slowly varying envelope approximation. Our analysis…

Quantum Physics · Physics 2009-06-30 R. Fleischhaker , J. Evers

In this work, we present a simplified but comprehensive derivation of all the key concepts and main results concerning light pulse propagation in dielectric media, including a brief extension to the case of active media and laser…

Optics · Physics 2019-07-16 F. Javier Fraile-Pelaez , Andres Macho

It is proposed that superoscillations play an important role in the interferences which give rise to superluminal effects. To exemplify that, we consider a toy model which allows for a wave packet to travel, in zero time and negligible…

Quantum Physics · Physics 2009-11-07 Yakir Aharonov , Noam Erez , Benni Reznik

Under periodic boundary conditions, a one-dimensional dispersive medium driven by a Lamb oscillator exhibits a smooth response when the dispersion relation is asymptotically linear or superlinear at large wave numbers, but unusual fractal…

Analysis of PDEs · Mathematics 2018-03-26 Peter Olver , Natalie Sheils

We investigate the propagation of light through a plasma on a background Kerr spacetime via a Hamiltonian formulation. The behaviour of light when propagating through a vacuum and through a plasma is not the same; the convolution of…

High Energy Astrophysical Phenomena · Physics 2019-02-06 Tom Kimpson , Kinwah Wu , Silvia Zane

Biomedical applications requiring tissue diagnosis, activation, and treatment could be substantially leveraged by optical methods, owing to their unique feature set. However, their widespread application is severely limited by the strong…

Optics · Physics 2019-10-23 Maxim Cherkashin , Carsten Brenner , Georg Schmitz , Martin Hofmann

We analyse in detail the reshaping mechanism leading to apparently "superluminal" advancement of a wave packet traversing a classically forbidden region. In the coordinate representation, a barrier is shown to act as an effective…

Quantum Physics · Physics 2013-09-20 D. Sokolovski , E. Akhmatskaya

We analytically describe light transmission through a single subwavelength slit in a thin perfect electric conductor screen for the incident polarization being perpendicular to the slit, and derive simple, yet accurate, expressions for the…

That light propagating in a gravitational field gets frequency-shifted is one of the basic consequences of any metric theory of gravity rooted in the equivalence principle. At the same time, also a time dependent material's refractive index…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alessio Belenchia , Felix Spengler , Dennis Rätzel , Daniel Braun

We demonstrate the simultaneous propagation of slow- and fast-light optical pulses in a four-wave mixing scheme using warm potassium vapor. We show that when the system is tuned such that the input probe pulses exhibit slow-light group…

Optics · Physics 2017-11-22 Jon D. Swaim , Ryan T. Glasser

A theory of nonlinear signal propagation in multi-span wavelength division multiplexed coherent transmission systems that employ the semiconductor optical amplifier as in-line amplifiers is presented for the first time. The rigorous…

Optics · Physics 2017-11-17 Amirhossein Ghazisaeidi

In 1907 Einstein discussed with Wilhelm Wien the occurrences of superluminal velocities in dispersive and absorptive media. Einstein tried to present to Wien an expression for the group velocity in dispersive media that was based on his…

History and Philosophy of Physics · Physics 2012-03-23 Galina Weinstein

Here, we introduce a stochastic partial differential equation (SPDE) formulation driven by temporally correlated noise to describe light propagation beyond the standard Markov approximation. By representing the squared refractive index…

Optics · Physics 2026-03-17 Chaoran Wang , Jinquan Qi , Shuang Liu , Chenjin Deng , Shensheng Han

We argue that superluminal propagation in a gravitational field discovered by Drummond and Hathrell in the lowest order of perturbation theory remains intact in higher orders. The criticism of this result based on an exact calculation of…

High Energy Physics - Theory · Physics 2010-04-01 Ratindranath Akhoury , Alexander D. Dolgov

We consider reaction-diffusion equations of porous medium type, with different kind of reaction terms, and nonnegative bounded initial data. For all the reaction terms under consideration there are initial data for which the solution…

Analysis of PDEs · Mathematics 2018-05-29 Alejandro Gárriz

I derive a temporally propagated uni-directional optical pulse equation valid in the few cycle limit. Temporal propagation is advantageous because it naturally preserves causality, unlike the competing spatially propagated models. The exact…

Optics · Physics 2018-06-04 Paul Kinsler