Oscillation resonant

Femtosecond Real-Time Observation of Wave Packet Oscillations (Resonance) in Dissociation Reactions, T. S. Rose, M. J. Rosker, and A. H. Zewail, J. Chem. Phys. 88, 6672... 

Rose, T.S., Rosker, M.J., and Zewail, A.H. (1988). Femtosecond real-time observation of wavepacket oscillations (resonances) in dissociation reactions, J. Chem. Phys. 88, 6672-6673. 

Braun, H.A., Schaefer, K., Voigt, K., and Huber, M.T. Temperature encoding in peripheral cold receptors oscillations, resonances, chaos and noise. Nova Acta Leopoldina 2003, 88 293-318. 

Figure 3.15 The dynamic film response generated by the oscillating resonator surface varies with the acoustic phase shift across the film [40] (a) for vfl, synchronous motion occurs (b) for s itfl, overshoot of the upper film surface in-plu with the resonator surface occurs (film resonance occurs when = a/2) (c) for > irfl, the upper film surface is 180° out-of- diase. The film is the thin region at the top the crystal is below. (Repraaed widi permission. See Ref. [40]. 1991 IEEE.)...

The oscillating resonator surface may be considered as a source for shear waves that are radiated into the contacting film. The upper film surface reflects these radiated shear waves downward, so that the mechanical impedance seen at the quartz surface is dependent upon the phase shift and attenuation undergone by the wave in propagating across the film. When the film is rubbery, significant phase shift across the film occurs. Consequently, the coupling of acoustic energy into the film depends upon thin-fllm interference. 

As mentioned above in the context of forced oscillations, resonance occurs at a frequency given by Eq. (7.24) if the phase angle is small. From the resonance frequency, (o, the storage modulus is readily calculated ... 

Bubble Oscillations Due to Periodic Pressure Oscillations - Resonance and Multiple-Time-Scale-Analysis... 

Again, the imaginary part of cwr is one half of the decay constant, y, provided that the resonance is sharp. Sharp resonances are always found for the QCM. A quick estimate shows that the error caused by neglecting y /4 in comparison to col negligible in all cases of practical interest. The complex resonance frequency, /r, also describes the ring-down of a freely oscillating resonator. Since the decay time, r, is equal to F can be determined... 

Fig. 4. Electronics block diagram for resonance-method sound-velocity measurements. D, G, and S denote driver transducer, gauge transducer, and specimen. Specimen length is adjusted so that oscillator resonance occurs near the transducer resonance frequency.

Boundary Element Method and Its Applications to the Modeling of MEMS Devices, Fig. 1 Schematic view of a laterally oscillating resonator... 

For the oscillating resonator, the velocity is in a sinusoidal steady state, and therefore, the velocity u and the pressure P of the fluid satisfy the frequency domain Stokes equation. The Stokes equation consists of the continuity equation and the linear momentum equation... 

The frequency range of the forced-oscillation resonance devices described in this section is generally from 10 to a few thousand Hz. It should be emphasized that we are still dealing with situations where the dimensions of the sample (thickness in the case of shear, length for torsion or extension, etc.) are small compared with the wavelength of an elastic wave corresponding to the type of deformation used. Thus, the inertia of the sample itself does not enter into the calculations. 

Surface plasmon resonance is due to the absorption of light at the srtrface of a metal, typically gold or silver. The effect extends only up to a few Inmdred nanometers into the material. At the surface, the electrons around the metal nuclei behave as a plasma and can be excited by light that couples with the frequency of their collective oscillation (resonance). Due to the confinement of the electrons by the physical dimensions of the nanoparticle, the excitation energy increases as the particle size decreases. A similar effect was described earher for excitons in semiconductor nanoparticles. 

It assumes that this material is a sum of the j oscillators. In above expression, the Aj is the strength of/ oscillator in unit of eV, F is the dampang coefficient in unit of eV, Eoj in unit of eV is the/ oscillator resonance energy and is the energy of the light. 

Fundamental (or pure) dynamic Acoustic oscillations Resonance of pressure waves High fiequendes (10—100 Hz) related... 

Fig.7.43, Infrared Raman waveguide laser in compressed H2, pumped by a dye laser. The frequency doubled output beam from an Nd YAG laser is reduced in diameter by an inverted beam expander and partioned between the oscillator and amplifier dye cell. The dye oscillator resonator is composed of mirror M, grating G, and beam-expanding prism BEP [7.96]...

This is the response function of a damped harmonic oscillator resonating at the frequency Go.(q) and having a peak width of 2r.(q). Such response func-... 

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