Turbulent solutions of the one-dimensional complex Ginzburg-Landau equation when the dissipation is very small aie considered. It is found that probability distributions are strictly Gaussian, implying hard turbulence does not occur. Also. no inertial range is observed in ule wavenumber spect”. As expected a linear relation between the atuacfor dimension and the domain length exists, but the re...

Waves are superoscillatory where their local phase gradient exceeds the maximum wavenumber in their Fourier spectrum. We consider the superoscillatory area fraction of random optical speckle patterns. This follows from the joint probability density function of intensity and phase gradient for isotropic Gaussian random wave superpositions. Strikingly, this fraction is 1/3 when all the waves in t...

We have in earlier work (Basse N P 2005 Phys. Lett. A 340 456) reported on intriguing similarities between density fluctuation power versus wavenumber on small (mm) and large (Mpc) scales. In this paper we expand upon our previous studies of small and large scale measurements made in fusion plasmas and using cosmological data, respectively. The measurements are compared to predictions from clas...

GLOSSARY dispersive: Characteristic of waves whose velocity of propagation depends on wave frequency. The shape of a dispersive wave packet changes as it moves along. eigenfunction: Functional shape of the horizontal and vertical components of wave motion versus depth in the ocean for a specific wave frequency. geometrical spreading: Process of amplitude reduction resulting from the progressive...

This paper presents an algebraic wavenumber identification method to identify wavenumbers under stochastic conditions. Stochastic condition results from the introduction of small perturbation which is referred uncertainty measurements points’ coordinates caused by operation faults or problems with experimental errors. The proposed compared two popular alternatives, namely: inhomogeneous wave co...