We study the existence and stability of space-periodic standing waves for the space-periodic cubic nonlinear Schrödinger equation with a point defect determined by a space-periodic Dirac distribution at the origin. This equation admits a smooth curve of positive space-periodic solutions with a profile given by the Jacobi elliptic function of dnoidal type. Via a perturbation method and continuat...

In their proof of the stability of standing-wave solutions of nonlinear Schrödinger equations, Cazenave and Lions used the principle of concentration compactness to characterize the standing waves as solutions of a certain variational problem. In this article we first review the techniques introduced by Cazenave and Lions, and then discuss their application to solitary-wave solutions of nonloca...

Shear wave velocities from full waveform acoustic logs were determined at DSDP Site 613 using the spectral ratio inversion method. Discrete shear wave velocities for a 350 meter interval at 0.5-2 meter depth increments were calculated. Shear wave velocities were not evaluated for the upper 130m of the log because of data recording problems. The sediments of Site 613 represent a progression from...

Structured light, with its ability to tailor diverse degrees of freedom (DoFs) light has recently attracted increasing attention, especially as geometric beams that can open multiple DoFs by the ray-wave duality. Here, a generalized beam family is proposed unify azimuthally traveling-wave (TW) and standing-wave (SW) structured introducing ray-split/fusion state tunable spatial mode continuously...

The purpose of this study was to investigate a numerical method for calculating impedances and standing wave patterns of flute structures. To this end, the physical dimensions of flute joints and tone holes were used to compute impedance and standing waves as a function of frequency for several different fingerings. Numerically computed resonance frequencies for head joint, middle and foot join...

This paper introduces a compact Multiple input output (MIMO) antenna system for vehicular application in the sub-6GHz 5G systems that operates middle and high frequency bands from 1.71GHz to 5GHz. The proposed design consists of two symmetrical raised printed monopoles on Flame Retardant 4 (FR4) dielectric material with Partial Ground Plane (PGP) structure improve bandwidth impedance achieve hi...

Existing schemes for the calibration of radio-astronomical observations are insufficient for the application in forthcoming space missions with heterodyne systems like HIFI. Many of the approximations used are not valid for systems with large IF frequencies and they are too rough for the desired calibration accuracy of a few percent. Moreover, they do not exploit the full capabilities of instru...

In order to study the interacting quantum gases of lithium atoms, we have developed a novel dipole trap based on the resonant enhancement of a far detuned standing wave in an optical resonator. Light from an ultrastable 2-W Nd:YAG laser is coupled into the resonator and enhanced 130-fold, thus creating a trap depth of ~1 mK for the lithium atoms. It enables us to trap ~10-10 laser-cooled atoms ...