These notes were written as a guideline for a short talk; hence, the references and the statements of the theorems are often not given in full details. The point of these notes is to summarize the different directions that the study of dispersive equations has taken in the last ten years. I would like to mention here a few recent textbooks that treat different parts of this subject. They could ...

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...