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Coherent nonlinear optical micro-spectroscopy is a frequently used tool in modern material science, as it is sensitive to many different local observables, which comprise, among others, crystal symmetry and vibrational properties. The…

Optics · Physics 2023-04-12 Kai J. Spychala , Zeeshan H. Amber , Lukas M. Eng , Michael Rüsing

Dispersive shock waves are fascinating phenomena occurring when nonlinearity overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves are still under investigation, as the interplay with noninstantaneity…

Non-linear photonic crystals can be used to provide phase-matching for frequency conversion in optically isotropic materials. The phase-matching mechanism proposed here is a combination of form birefringence and phase velocity dispersion in…

Quantum Physics · Physics 2009-11-10 Michiel J. A. de Dood , William T. M. Irvine , Dirk Bouwmeester

In this paper we develop a method capable of modeling the space-time focusing of nondiffracting pulses. The new pulses can possess arbitrary peak velocities and, in addition to being resistant to diffraction, can have their peak intensities…

Optics · Physics 2016-10-19 Michel Zamboni-Rached , Ioannis M. Besieris

The axial dependence of femtosecond filamentation in air is measured under conditions of varying laser pulsewidth, energy, and focusing f-number. Filaments are characterized by the ultrafast z-dependent absorption of energy from the laser…

Propagation of light in a highly scattering medium is among the most fascinating optical effect that everyone experiences on an everyday basis and possesses a number of fundamental problems which have yet to be solved. Conventional wisdom…

Nonlinear computation is essential for a wide range of information processing tasks, yet implementing nonlinear functions using optical systems remains a challenge due to the weak and power-intensive nature of optical nonlinearities.…

Optics · Physics 2025-11-10 Md Sadman Sakib Rahman , Yuhang Li , Xilin Yang , Shiqi Chen , Aydogan Ozcan

We provide a justification with rigorous error estimates showing that the leading term in weakly nonlinear geometric optics expansions of highly oscillatory reflecting pulses is close to the uniquely determined exact solution for small…

Analysis of PDEs · Mathematics 2013-04-22 Jean-Francois Coulombel , Mark Williams

Spectral method related to Lame equation with finite-gap potential is used to study the optical cascading equations. These equations are known not to be integrable by inverse scattering method. Due to "partial integrability" two-gap…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 N. A. Kostov

We study a system of inhomogeneous nonlinear Schr\"odinger equations that emerge in optical media with a $\chi^{(2)}$ nonlinearity. This nonlinearity, whose local strength is subject to a cusp-shaped spatial modulation, $\chi^{(2)}\sim…

Analysis of PDEs · Mathematics 2024-05-28 Van Duong Dinh , Amin Esfahani

We consider nonlinear spectroscopic effects - interaction-enhanced double resonance and spectrum instability - that appear in ultracold quantum gases owing to collisional frequency shift of atomic transitions and, consequently, due to the…

Quantum Gases · Physics 2015-06-12 Alexander Safonov , Irina Safonova , Igor Yasnikov

We examine the properties of a gaseous plasma resonator generated by focusing a high-energy laser pulse through a lens and into a gas. An analytical model is presented describing the scattering resonance of these near-ellipsoidal plasmas…

Applied Physics · Physics 2018-11-02 Roberto A. Colón Quiñones , Thomas C. Underwood , Mark A. Cappelli

The continuous advancements in ultrafast lasers, characterized by high pulse energy, great average power, and ultrashort pulse duration, have opened up new frontiers and applications in various fields such as high-energy-density science. In…

Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Zhenya Yan , V. V. Konotop , N. Akhmediev

Spectral variability in hyperspectral images can result from factors including environmental, illumination, atmospheric and temporal changes. Its occurrence may lead to the propagation of significant estimation errors in the unmixing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

A novel route to instabilities and turbulence in fluid and plasma flows is presented in kinetic Vlasov-Maxwell model. New kind of flow instabilities is shown to arise due to the availability of new kinetic energy sources which are absent in…

Plasma Physics · Physics 2015-06-19 Dhurjati Prasad Datta , Sudip Sen

We present the first experimental investigation of nonlinear optical properties of graphene flakes. We find that at near infrared frequencies a graphene monolayer exhibits a remarkably high third-order optical nonlinearity which is…

Materials Science · Physics 2011-01-13 E. Hendry , P. J. Hale , J. J. Moger , A. K. Savchenko , S. A. Mikhailov

In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for…

Classical Physics · Physics 2020-05-26 Denys Dutykh , Elena Tobisch

We analyze the nonlinear optics of quasi one-dimensional quantum graphs and manipulate their topology and geometry to generate for the first time nonlinearities in a simple system approaching the fundamental limits of the first and second…

Optics · Physics 2014-01-28 Rick Lytel , Shoresh Shafei , Julian H. Smith , Mark G. Kuzyk

We study the longitudinal stability of beam-plasma systems in the presence of a density inhomogeneity in the background plasma. Previous works have focused on the non-relativistic regime where hydrodynamical models are used to evolve…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Mohamad Shalaby , Avery E. Broderick , Philip Chang , Christoph Pfrommer , Ewald Puchwein , Astrid Lamberts
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