This Master thesis deals with wave propagation and starts with wave propagation basics. It briefly presents the theory for the diffraction over terrain obstacles and describes two different path loss models, the Hata model and a FFT-based model. The significance of this paper is that it gives the simulation results for the models mentioned above and presents a comparison between the results obt...

COMSOL has been used to model the propagation of electromagnetic waves in fusion plasmas. For the first time, a finite element method has been used to solve the wave propagation for realistic fusion plasma parameters in the lower hybrid and ion cyclotron frequency ranges. Moreover, for lower hybrid waves, a new efficient iterative algorithm has been developed to take into account the dispersive...

Recently, Choquet-Bruhat and York and Abrahams, Anderson, ChoquetBruhat, and York (aacy) have cast the 3+1 evolution equations of general relativity in gauge-covariant and causal “first-order symmetric hyperbolic form,” thereby cleanly separating physical from gauge degrees of freedom in the Cauchy problem for general relativity. A key ingredient in their construction is a certain wave equation...

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

Wave-equation migration using one-way wavefield extrapolation operators is commonly used in industry to generate images of complex geologic structure from 3D seismic data. By design, most conventional wave-equation approaches restrict propagation to downward continuation, where wavefields are recursively extrapolated to depth on Cartesian meshes. In practice, this approach is limited in high-an...

In this chapter and Chapter 4, waves are considered in 3-D, in general. However, in some applications such as in integrated optics in which propagation of waves on a surface is often considered, 2-D waves are of interest. For example, see Chapter 19 on dense wavelength division multiplexing. Two-dimensional equations are simpler because one of the space variables, say, y is omitted from the equ...

The application of multidimensional digital ltering theory to the simulation of continuous systems with distributed parameters has been treated in various recent contributions. Here, two diierent concepts will be compared, using a lossy transmission line of nite extent as an example. One approach is based on multidimensional wave digital lters, the other on the derivation of a simulating struct...

By use of path-integral methods, a general expression is obtained for the two-frequency, two-position mutual coherence function of an electromagnetic pulse propagating through turbulent atmosphere. This expression is valid for arbitrary models of refractive-index fluctuations, wide band pulses, and turbulence of arbitrary strength. The approach presented in this paper was examined in the cases ...

We study the influence of third-order dispersion effects on the propagation of an incoherent nonlinear wave in an optical fiber system. The wave spectrum is shown to exhibit a highly asymmetric deformation characterized by a lateral spectral shoulder and the subsequent formation of an unexpected constant spectral pedestal. A kinetic approach to the problem reveals the existence of an invariant ...