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We theoretically demonstrate the possibility to tune the temporal waveform of optical unipolar pulses upon their coherent interaction with a multi-level resonant medium. This is achieved through the coherent control of the response of a…

We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex…

Optics · Physics 2023-07-19 Mykola Kulishov , H. F. Jones , Bernard Kress

In this article, we present the asymptotic solution for the matrix system of equations representing the multiple scattering coefficients of an infinite grating of insulating dielectric circular cylinders associated with vertically polarized…

Mathematical Physics · Physics 2007-11-05 omer Kavaklioglu , Baruch Schneider

We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the shape of the bispectrum carries valuable…

General Relativity and Quantum Cosmology · Physics 2019-03-25 Makoto Tsuneto , Asuka Ito , Toshifumi Noumi , Jiro Soda

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose-Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross-Pitaevskii…

Pattern Formation and Solitons · Physics 2011-02-22 Alain Moise Dikande , Isaiah Ndifon Ngek , Joseph Ebobenow

In this paper we propose a method which provides a full description of solitary wave solutions of the Schroedinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of…

Pattern Formation and Solitons · Physics 2007-11-27 M. Shkarayev , M. G. Stepanov

Periodic structures resonantly coupled to excitonic media allow the existence of extra intragap modes ('Braggoritons'), due to the coupling between Bragg photon modes and 3D bulk excitons. This induces unique and unexplored dispersive…

Other Condensed Matter · Physics 2015-05-05 Fabio Biancalana , Leonidas Mouchliadis , Celestino Creatore , Simon Osborne , Wolfgang Langbein

Free-electron lasers (FELs) can now generate temporally short, high power x-ray pulses of unprecedented brightness, even though their longitudinal coherence is relatively poor. The longitudinal coherence can be potentially improved by…

Accelerator Physics · Physics 2013-05-30 Ryan R. Lindberg , Yuri V. Shvyd'ko

Solutions of nonlinear acoustic equations describing propagation of strong sound pulses with account of curvature of wave fronts in multi-dimensional geometry are obtained from simple physical considerations. The form of these solutions…

Pattern Formation and Solitons · Physics 2016-02-25 A. M. Kamchatnov , M. V. Pavlov

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G A Alekseev , J B Griffiths

The B\"{a}cklund transformation for the three-level Maxwell-Bloch equation is presented in the matrix potential formalism. By applying the B\"{a}cklund transformation to a constant electric field background, we obtain a general solution for…

solv-int · Physics 2009-10-30 Q-Han Park , H. J. Shin

A new mechanism of Bragg reflection is identified, one that, remarkably, occurs in a uniform medium and relies on resonant tuning of the medium's parameters. Due to uniformity, reflection ensues over a broad wavelength range, much like a…

Optics · Physics 2023-03-22 Martin W. McCall , Stefanos Fr. Koufidis

In some anisotropic bulk media (for example, biaxial weakly absorbing crystals) there are special directions along which the plane wave field distribution has a singular profile of the form $\propto (\mathbf{n} \mathbf{r}) \exp(i q…

Optics · Physics 2025-04-29 K. Yu. Golenitskii , N. S. Averkiev

We study nanofibers with Bragg gratings from equidistant holes. We calculate analytically and numerically the reflection and transmission coefficients for a single grating and also for a cavity formed by two gratings. We show that the…

Optics · Physics 2015-05-27 Fam Le Kien , K. P. Nayak , K. Hakuta

In this paper we analyze the properties of chirped optical X-shaped pulses propagating in material media without boundaries. We show that such ("superluminal") pulses may recover their transverse and longitudinal shape after some…

The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and anti-holomorphic functions. However, this solution only expresses the potential in…

High Energy Physics - Theory · Physics 2016-02-16 Rafael Ferraro , Mauro Nigro

In this article, we investigate the wave equation in spiral geometry and study the modes of vibrations of a one-dimensional (1-D) string in spiral shape. Here we show that the problem of wave propagation along a spiral can be reduced to…

Classical Physics · Physics 2014-10-21 Deep Chatterjee , Rajesh K. Nayak

We analyze the transfer function of a three-dimensional atomic Bragg beamsplitter formed by two counterpropagating pulsed Gaussian laser beams. Even for ultracold atomic ensembles, the transfer efficiency depends significantly on the…

Quantum Gases · Physics 2021-04-07 Antje Neumann , Martina Gebbe , Reinhold Walser

We demonstrate that the method of coupled Gaussian wave packets is a full-fledged alternative to direct numerical solutions of the Gross-Pitaevskii equation of condensates with electromagnetically induced attractive 1/r interaction, or with…

Quantum Gases · Physics 2010-03-15 Stefan Rau , Jörg Main , Patrick Köberle , Günter Wunner

In this work, we investigate the properties of four-wave mixing Bragg scattering in a configuration that employs orthogonally polarized pumps in a birefringent waveguide. This configuration enables a large signal conversion bandwidth, and…