We construct infinitely accurate approximate solutions to systems of hyperbolic partial differential equations which model short wavelength dispersive nonlinear phenomena. The principal themes are the following. ~1! The natural framework for the study of dispersion is wavelength e solutions of systems of partial differential operators in e]. The natural e-characteristic equation and e-eikonal e...

The original Lamb system was introduced by Horace Lamb in 1900, [13], as a simple model for the phenomenon of radiation damping experienced by a vibrating body in an energy conducting medium. Examples include vibrations of an elastic sphere in a gaseous medium, electrical oscillations of a spherical conductor, a dielectric sphere with large inductance, relativistic radiation of energy from a co...

Optimal link adaption to the scattering function of wide sense stationary uncorrelated scattering (WSSUS) mobile communication channels is still an unsolved problem despite its importance for next-generation system design. In multicarrier transmission such link adaption is performed by pulse shaping which in turn is equivalent to precoding with respect to the second order channel statistics. In...

Dispersive soils which occur in many parts of the world are easily erodible and segregate in water pose serious problems of stability of earth and earth retaining structures. The mechanism of dispersivity of soils is reasonably well understood. However there is simple method to identify the dispersivity of the soils and even more difficult to quantify the dispersivity. Visual classification, At...

Efficient reconstruction of dispersive dielectric profiles using time domain reflectometry (TDR) P. Leidenberger, B. Oswald, and K. Roth Institute of Environmental Physics, University of Heidelberg, Heidelberg, Germany Received: 29 July 2005 – Accepted: 5 August 2005 – Published: 15 August 2005 Correspondence to: B. Oswald ([email protected]) © 2005 Author(s). This work is l...

The optical dispersive prism is a well-studied element, which allows separating white light into its constituent spectral colors, and stands in nature as water droplets. In analogy to this definition, the acoustic dispersive prism should be an acoustic device with capability of splitting a broadband acoustic wave into its constituent Fourier components. However, due to the acoustical nature of ...

Transmission line theory and a genetic algorithm are used herein for extracting per-unitlength parameters of microstrip or striplines with dispersive dielectric substrates. S-parameters of the line section are measured and used as an objective function for global optimization. The discrepancy between the modeled and measured results is minimized over all the frequency range of interest. Wave eq...