We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the forbidden domain, 3) the trace formula in terms of re...

In this paper, we compute the scattering matrix for the Hilbert modular group over any number field K. We then express the determinant of the scattering matrix as a ratio of completed Dedekind zeta functions associated to the Hilbert class field of K. This generalizes work of Efrat and Sarnak [ES] in the imaginary quadratic case.

Modeling and performance of on-chip spiral inductors is presented. Y-parameters are obtained from the measured S-parameters of the inductor fabricated in 0.35-μm SOI CMOS technology. Matlab is used to get the π-equivalent circuit model parameters at each frequency point. The SOI CMOS inductor shows better performance characteristics in terms of Q-factor and self-resonance frequency.

This paper demonstrates a digital waveguide implementation of a six-hole woodwind tonehole lattice, based on theory and measurements published by Keefe (1981). Woodwind tonehole transmission-matrix parameters are converted to traveling-wave scattering parameters suitable for digital waveguide implementation. Second-order digital filters are designed to approximate the reflection and transmissio...

In the last ten years, the use of gamma-ray spectrometry for geological mapping and mineral exploration has shown considerable growth. With this growth, standardized procedures have been developed for the calibration and processing of the airborne measurements so that they will be independent of survey parameters. This paper describes some of the new developments to convert airborne data to gro...