This paper presents a nonlinear analytical model for micromechanical silicon ring resonators with bulk-mode vibrations. A distributed element model has been developed to describe the dynamic behavior of the micromechanical ring resonator. This model shows the nonlinear effects in a silicon ring resonator focusing on the effect of large amplitudes around the resonance frequency, material and ele...

We derive a lumped-element, equivalent-circuit model for the thickness-shear mode (TSM) resonator with a viscoelastic film. This modified Butterworth-Van Dyke model includes in the motional branch a series LCR resonator, representing the quartz resonance, and a parallel LCR resonator, representing the film resonance. This model is valid in the vicinity of film resonance, which occurs when the a...

The nonlinearity exhibited by the kinetic inductance of a superconducting stripline couples stripline resonator modes together in a manner suitable for quantum nondemolition measurement of the number of photons in a given resonator mode. Quantum nondemolition measurement is accomplished by coherently driving another resonator mode, referred to as the detector mode, and measuring its response. W...

We demonstrate thermometry with a resolution of 80  nK/Hz using an isotropic crystalline whispering-gallery mode resonator based on a dichroic dual-mode technique. We simultaneously excite two modes that have a mode frequency ratio that is very close to two (±0.3  ppm). The wavelength and temperature dependence of the refractive index means that the frequency difference between these modes is a...

In this paper, a novel approach has been suggested to obtain an improved spurious-free window for dielectric resonator in microwave integrated circuit environment. In microwave integrated circuit environment, the dielectric resonator placed on a thin dielectric substrate gets located asymmetrically with respect to its shielding enclosure. A reduced separation in frequencies (mode separation) is...

The paper investigates the nonlinear modal interaction of longitudinal and flexural vibrations a beam resonator under periodic thermal loading. mode parametric oscillations is investigated conditions internal multiple resonance between some forms free resonator. possibility longitudinal-bending generation in system has been found, frequency slow envelope which essentially depends on parameter d...

Abstract—A novel dual-mode bandpass filter (BPF) using stubloaded defected ground open-loop resonator is proposed in this article. Defected arrow-shaped stub is loaded to a defected ground openloop resonator, and two non-degenerate modes are excited for dualmode characteristics. Based on evenand odd-mode theory, dualmode characteristics of the resonator is analyzed. Design equations for the def...

The objective of this work is to show that it is possible to excite different vibration modes of MEMS resonators using Pulsed Digital Oscillators. This class of circuits exhibit two different behaviours: the oscillation and the anti-oscillation mode. In the oscillation mode, the oscillator in average provides energy to the resonator, whereas in the anti-oscillation mode, it extracts energy of t...