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A method for constructing optical potentials with an arbitrary distribution of gain and loss and completely real spectrum is presented. For each arbitrary distribution of gain and loss, several classes of refractive-index profiles with…

Optics · Physics 2016-03-23 Sean Nixon , Jianke Yang

We analyze the phenomenon of system size stochastic resonance in a simple spatially extended system by exploiting the knowledge of the nonequilibrium potential. We show that through the analysis of that potential, and particularly its…

Statistical Mechanics · Physics 2009-11-10 Horacio S. Wio

A model of a lossy nonlinear fiber grating with a "hot spot", which combines a local gain and an attractive perturbation of the refractive index, is introduced. A family of exact solutions for pinned solitons is found in the absence of loss…

Pattern Formation and Solitons · Physics 2009-11-07 William C. K. Mak , Pak L. Chu , Boris A. Malomed

We study local and nonlocal correlations of light transmitted through active random media. The conventional approach results in divergence of ensemble averaged correlation functions due to existence of lasing realizations. We introduce…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexey Yamilov , Shih-Hui Chang , Aleksander Burin , Allen Taflove , Hui Cao

The cyclotron resonance absorption spectrum in a Wigner crystal is calculated. Effects of spin-splitting are modelled by substitutional disorder, and calculated in the coherent potential approximation. Due to the increasing strength of the…

Condensed Matter · Physics 2009-10-22 Peter Johansson

In a non-reciprocal optical amplifier, gain depends on whether the light propagates forwards or backwards through the device. Typically, one requires either the magneto-optical effect, a temporal modulation, or an optical nonlinearity to…

We establish a theory that traces light amplification in an active double-fishnet metamaterial back to its microscopic origins. Based on ab initio calculations of the light/plasmon fields we extract energy rates and conversion efficiencies…

Using the transfer-matrix approach and solving time-domain differential equations, we analyze the loss compensation mechanism in multilayer systems composed of an absorbing transparent conductive oxide and dielectric doped with an active…

Nonlinear kinetic inductance in a high Q superconducting coplanar waveguide microresonator can cause a bifurcation of the resonance curve. Near the critical pumping power and frequency for bifurcation, large parametric gain is observed for…

Superconductivity · Physics 2015-05-13 Erik A. Tholen , Adem Ergul , Kai Stannigel , Carsten Hutter , David B. Haviland

Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

In this letter, we consider constraints on the low-energy spectrum of amplitudes with higher-spin exchange. Assuming unitarity, crossing symmetry, and super-convergent high energy behavior, reminiscent of the scattering of spin-1 and spin-2…

High Energy Physics - Theory · Physics 2025-10-10 Yu-tin Huang , Sara Ricossa , Francesco Riva , Jie-Da Tsai

Using general arguments we determine the allowed region for the end point frequency and the peak energy density of the stochastic background of gravity waves expected in string cosmology. We provide an accurate estimate of the minimal…

High Energy Physics - Theory · Physics 2011-09-09 R. Brustein , M. Gasperini , G. Veneziano

We point out that particles accelerated in a non-relativistic shock of compression ratio $r$ attain the standard, $p=(r+2)/(r-1)$ spectral index only under certain conditions. Previous derivations of the spectrum, based on the…

High Energy Astrophysical Phenomena · Physics 2020-07-07 Uri Keshet , Ofir Arad , Yuri Lyubarski

The dispersion characteristics of an circularly polarized electromagnetic wave of arbitrary amplitude, propagating in a highly (thermally and kinematically) relativistic plasma, are shown to approach those of a linear wave in an…

Plasma Physics · Physics 2018-07-17 Swadesh Mahajan , Manasvi Lingam

We present a class of systems for which the signal-to-noise ratio always increases when increasing the noise and diverges at infinite noise level. This new phenomenon is a direct consequence of the existence of a scaling law for the…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

A disordered structure embedding an active gain material and able to lase is called random laser (RL). The RL spectrum may appear either like a set of sharp resonances or like a smooth line superimposed to the fluorescence. A recent letter…

Optics · Physics 2015-06-03 M. Leonetti , C. Conti , C. Lopez

Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a…

Quantum Physics · Physics 2021-12-28 Siddhant Das

The spectrum of the light scattered from an extended atomic wave packet is calculated. For a wave packet consisting of two spatially separated peaks moving on parallel trajectories, the spectrum contains Ramsey-like fringes that are…

Atomic Physics · Physics 2009-11-07 B. Dubetsky , P. R. Berman

A quantitative theory of spectral lags for $\gamma$-ray bursts (GRBs) is given. The underlying hypothesis is that GRB subpulses are photons that are scattered into our line of sight by local concentrations of baryons that are accelerated by…

Astrophysics · Physics 2009-11-13 David Eichler , Hadar Manis

We develop a microscopic theory of spin noise in solid-state systems at electron paramagnetic resonance, when the spin dynamics is driven by static and radio-frequency (RF) magnetic fields and the stochastic effective magnetic field…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 A. V. Poshakinskiy , S. A. Tarasenko
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