The high-order accuracy of Fourier method makes it the method of choice in many large scale simulations. We discuss here the stability of Fourier method for nonlinear evolution problems, focusing on the two prototypical cases of the inviscid Burgers’ equation and the multi-dimensional incompressible Euler equations. The Fourier method for such problems with quadratic nonlinearities comes in two...

Abstract In this work, we investigate the near horizon and asymptotic symmetries of static rotating hairy-AdS black hole in framework general minimal massive gravity. We obtain energy, angular momentum entropy solutions. Then show that our results for these quantities are consistent with first law thermodynamics. By considering geometry hole, find conserved charges their algebra. writing algebr...

A three-dimensional wave packet generated by a local disturbance in a hypersonic boundary layer flow is studied with the aid of the previously solved initialvalue problem. The solution to this problem can be expanded in a biorthogonal eigenfunction system as a sum of discrete and continuous modes. A specific disturbance consisting of an initial temperature spot is considered, and the receptivit...

Fast camera imaging is used to study ion acoustic waves propagating azimuthally in a magnetized plasma column. The high-speed image sequences are analyzed using proper orthogonal decomposition and 2D Fourier transform, allowing evaluate the assets differences of both techniques. spatiotemporal features extracted from images, which highlight energy exchanges between modes. Growth rates modes rec...

We propose a source of multimode squeezed light that can be used for superresolving microscopy. This source is an optical parametric amplifier with a properly chosen diaphragm on its output and a Fourier lens. We demonstrate that such an arrangement produces squeezed prolate spheroidal waves that are the eigenmodes of the optical imaging scheme used in microscopy and discuss the conditions of t...

2014 A recently developed femtosecond coherent Raman technique allows the measurement of Fourier transform coherent Raman spectra with high-frequency differences. The simultaneous excitation of different vibrational modes with a broad-band tunable driving force leads to a strong beating of the coherent Raman probe scattering. The high time resolution of the experimental set-up allows one to mea...

The electromagnetic coupling between a two-dimensional grating of resonant gold nanoparticles and a gold metallic film is investigated. We report on the observation of multipeaks in the extinction spectra attributed to resonant modes of the hybrid system, resulting from the coupling between the localized plasmon of the nanoparticles with the underlying surface plasmon mode. Simulations based on...

We present laboratory observations of shear Alfvén wave resonances in a cylindrical plasma column. Fourier data are presented which show the existence of many standing eigenmodes in the shear Alfvén frequency range. Harmonic frequency dependence on ambient B is presented for three resonances. A wavelet analysis is used to show the lifetimes of the identified harmonic modes. Experimental Q value...

— A recently developed femtosecond coherent Raman technique allows the measurement of Fourier transform coherent Raman spectra with high-frequency differences. The simultaneous excitation of different vibrational modes with a broad-band tunable driving force leads to a strong beating of the coherent Raman probe scattering. The high time resolution of the experimental set-up allows one to measur...

We use ultrafast X-ray pulses to characterize the lattice response of SrTiO3 when driven by strong terahertz fields. We observe transient changes in the diffraction intensity with a delayed onset with respect to the driving field. Fourier analysis reveals two frequency components corresponding to the two lowest energy zone-center optical modes in SrTiO3. The lower frequency mode exhibits clear ...