We study the properties of the chaotic wave fields generated in the frame of the SasaSatsuma equation when a plane wave solution is randomly perturbed with a white noise. We have found that plane waves with different propagation constant splits into selffocused filaments, that propagate with a velocity which is well approximately given by the group velocity calculated from the dispersion relati...

The analysis of Chapter 2 was based on the vectorial form of Maxwell's equations, which we used to demonstrate the existence of plane waves. Clearly, other types of wave must exist an infinite plane wave is only an idealisation, and real waves have the form of bounded beams. Unfortunately, vector theory rapidly becomes unmanageable when applied to more complicated geometries. We therefore intro...

All beams are a superposition of plane waves, which carry linear momentum in the direction of propagation with no net azimuthal component. However, plane waves incident on a hologram can produce a vortex beam carrying orbital angular momentum that seems to require an azimuthal linear momentum, which presents a paradox. We resolve this by showing that the azimuthal momentum is not a true linear ...

Abstract. Time-harmonic oscillations of a horizontal plate generate internal gravity waves in an unbounded stratified fluid. A plane-wave (Fourier) decomposition is used in which waves with outgoing group velocity are selected. The pressure and the velocity in the far field are estimated in terms of the Fourier transform of the pressure jump across the plate. Explicit solutions are obtained for...

We consider the collisions of plane gravitational and electromagnetic waves with distinct wavefronts and of arbitrary polarizations in a Minkowski background. We first present a new, completely geometric formulation of the characteristic initial value problem for solutions in the wave interaction region for which initial data are those associated with the approaching waves. We present also a ge...

The transmission of airborne sound into high-impedance media is of interest in several applications. For example, sonic booms in the atmosphere may impact marine life when incident on the ocean surface, or affect the integrity of existing structures when incident on the ground. Transmission across high impedance-difference interfaces is generally limited by reflection and refraction at the surf...

The present article deals with the two parts: (i)The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii)The reflection and transmission of plane waves at a plane interface between inviscid fluid half-space and micropolar thermoelastic diffusion solid half-space.It is found that for two-dimensional model, there exist four coupled longitudinal waves...

In this paper, we introduce two compact, large-throughput CMB polarimeter designs (POLAR1 and BICEP3). These pathfinder experiments will pave the way for a comprehensive multi-frequency South Pole B-mode survey that, when jointly analyzed with arcminute-scale polarization data, can conclusively answer the question whether there is an appreciable fraction (> 1%) of the primordial perturbations i...