Abrupt depth transitions (ADTs) have been shown to induce the release of bound waves into free waves, which results in spatially inhomogeneous wave fields atop ADTs. Herein, we examine role free-wave generation and spatial distribution higher-harmonic components onset breaking for very steep periodic upon interaction with an ADT. We utilise a Smoothed Particle Hydrodynamics (SPH) model, making ...

Our experience and our reaction to all things beautiful is made possible by our unique ability to subconsciously recognize geometric order from transitory chaos. At this level, the perfection inherent in a Greek temple or a painting by Da Vinci is not simply because it is made of a particular material or hue but because the harmonic proportions contained in their design are bound by the laws of...

We present a multiscale quantum-defect theory for two identical atoms in a symmetric harmonic trap that combines the quantum-defect theory for the van der Waals interaction B. Gao, Phys. Rev. A 64, 010701 R 2001 at short distances with a quantum-defect theory for the harmonic trapping potential at large distances. The theory provides a systematic understanding of two atoms in a trap, from deepl...

We report on the experimental observation of speckle formation from a transparent crystal formed by a random distribution of nonlinear domains. The angular distribution of second-harmonic light generated by a transparent strontium barium niobate crystal is measured for different diameters of the fundamental beam and crystal thicknesses. Distinct manifestations of speckle pattern formation are f...

High efficiency of the second-harmonic and sum-frequency generation can be obtained in optical superlattice by using the conventional quasi-phase-matched (QPM) method. Although this trick can be played on the acoustic wave, the media with negative nonlinear parameters are not common in acoustics. Furthermore, the QPM method used in acoustic metamaterials has been less studied. In this work, a p...

We analyze two-color spatially localized nonlinear modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi(2)) nonlinear interfaces embedded in a linear layered structure--a quadratic nonlinear photonic crystal. For a periodic lattice of nonlinear interfaces, we derive an effective discrete model for the amplitudes of the fundamental and second...

Low-harmonic formulas for closed relativistic strings are given. General parametrizations are presented for the addition of second-and third-harmonic waves to the fundamental wave. The method of determination of the parametriza-tions is based upon a product representation found for the finite Fourier series of string motion in which the constraints are automatically satisfied. The construction ...

A new and simple approach to shape invariant timescale modi cation of speech is presented. The method, based upon a harmonic coding of each speech frame, operates entirely within the original sinusoidal model [3] and makes no use of \pitch-pulse onset times" used by conventional algorithms. Instead, phase coherence, and thus shape invariance, are ensured by exploiting the harmonic relation exis...