A single-chip CMOS optical microspectrometer containing an array of 16 addressable Fabry–Perot etalons (each one with a different resonance cavity length), photodetectors, and circuits for readout, multiplexing, and driving a serial bus interface has been fabricated in a standard 1.6m CMOS technology (chip area 3.9 4.2 mm). The result is a chip that can operate using only four external connecti...

We consider a forced harmonic oscillator at resonance with a nonlinear perturbation and obtain a sharp condition for the existence of unbounded motions. Such a condition is extended to the case of a semilinear vibrating string. AMS classification scheme numbers: 34C11, 35L05

Zdeněk Trávníček, František Maršík, Tomáš Vít, Pieter de Boer Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 5, 182 00 Prague 8, Czech Republic Technical University of Liberec, Faculty of Mechanical Engineering, Dept. of Power Engineering Equipment, Hálkova 6, 461 17 Liberec 1, Czech Republic Technical University of Eindhoven, Dept. of Mech. Eng., Divison of...

B physics results from ee annihilation at the Z resonance are reviewed. A vast program is summarised, including the study of B, B0d, B 0 s and b baryon lifetimes, the time dependence of B0d–B 0 d and B0s–B 0 s oscillations, the width difference in the B0s–B 0 s system, and the measurements of the magnitudes of the CKM matrix elements Vcb and Vub.

Many models beyond the standard model (SM) predict the presence of new heavy particles which can potentially be observed as narrow resonances in the invariant mass spectra of high pT objects. The Randall-Sundrum (RS) graviton (G) in the RS model, Z , W , excited quarks (q) in the quark compositeness model, axigluon (A) in the chiral color model, coloron (C) in the flavor universal coloron model...

We use bifurcation theory to show the existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems in one dimension. It has been observed that complexity of the solution curve for the boundary value problem u + λf(u) = 0 for 0 < x < L, u(0) = u(L) = 0 (1) seems to mirror that of the nonlinearity f(u), see e.g. P. Korman, Y. Li and T. Ouyang [6]. Namely, if f(...

The problem of resonance trapping is further analyzed by the consideration of a quasi Hamiltonian model, which is the classical one-degree-of-freedom Hamiltonian model, modified by the inclusion of a nonconservative term for the derivative of the momentum. A new formulation to compute capture probabilities is deduced, which is a function of the particular nonconservative force involved. The new...

We analyze scattering cross sections at and near third-order exceptional points (EP3), i.e., points in physical parameter space where three energies and eigenfunctions coincide. At an EP3, the Green’s function contains a pole of third order, in addition to poles of second and first order. We show that the interference of the three pole terms produces a rich variety of line shapes at the excepti...