Showing papers by "Francesco Mainardi published in 1984"
TL;DR: In this paper, the concept of signal velocity for sinusoidal waves in linear dispersive media is discussed and the theoretical results are interpreted in view of the numerical data for a typical signaling problem associated with the linear Klein-Gordon equation.
Abstract: Publisher Summary This chapter discusses the concept of signal velocity for sinusoidal waves in linear dispersive media. When damping cannot be neglected, one can distinguish two different types of dissipation with respect to the dispersive properties of the signal. The theoretical results are interpreted in view of the numerical data for a typical signaling problem associated with the linear Klein–Gordon equation. The concept of signal velocity for linear dispersive waves is given using the steepest descent method following the classical argument of Brillouin for electromagnetic waves. The dispersion properties of the solution and the related concept of signal velocity according to Brillouin are investigated in the chapter. The analysis of Brillouin may be extended to any one-dimensional signaling problem where a Fourier-Laplace representation of the solution is available.
6 citations