Contributors:Weixiong Chen, Quanbin Zhao, Yingchun Wang, Palash Kumar Sen, Daotong Chong, Junjie Yan
Frequency spectrograms distribution along the axial direction (R/D=2).
... Frequency spectrograms of condensation oscillation .
... Frequency spectrograms under radial position of R/D=3.0 and R/D=4.0.
... Half affected width of pressure oscillation.
... Pressure oscillation... Oscillation power axial distribution for low frequency region.
Contributors:Ch. Wunderlich, Ch. Balzer
Illustration of a linear ion trap including an axial magnetic field gradient. The static field makes individual ions distinguishable in frequency space by Zeeman-shifting their internal energy levels (solid horizontal lines represent qubit states). In addition, it mediates the coupling between internal and external degrees of freedom when a driving field is applied (dashed horizontal lines stand for vibrational energy levels of the ion string, see text).
... Rabi oscillations on the optical E2 transition S1/2-D5/2 in Ba + . A fit of the data (solid line) yields a Rabi frequency of 71.4 × 2πkHz and a transversal relaxation time of 100 μs (determined by the coherence time of the ir light used to drive the E2 resonance).
... Illustration of the coupled system ‘qubit ⊗ harmonic oscillator’ in a trap with magnetic field gradient. Internal qubit transitions lead to a displacement dz of the ion from its initial equilibrium position and consequently to the excitation of vibrational motion. In the formal description the usual Lamb–Dicke parameter is replaced by a new effective one (see text).
... (a) Relevant energy levels and transitions in 138Ba + . (b) Schematic drawing of major experimental elements. OPO: Optical parametric oscillator; YAG: Nd:YAG laser; LD: laser diode; DSP: Digital signal processing system allows for real time control of experimental parameters; AOM: Acousto-optic modulators used as optical switches and for tuning of laser light; PM: Photo multiplier tube, serves for detection of resonance fluorescence. All lasers are frequency and intensity stabilized (not shown).
... Schematic drawing of the resonances of qubits j and j + 1 with some accompanying sideband resonances. The angular frequency vN corresponds to the Nth axial vibrational mode, and the frequency separation between carrier resonances is denoted by δω.
Contributors:Xu-Chu Cai, Jun-Fang Liu
Nonlinear oscillator... He’s frequency formulation
Contributors:B.M.R. Schneider, C. Gollub, K.-L. Kompa, R. de Vivie-Riedle
PES of the qubit system (a) and total dipole surface (b). For both surfaces: −52.8 pm⩽rA1⩽+52.8pm and −37.4pm⩽rE⩽+37.4pm.
... Normal modes included in the quantum dynamical calculation. (a) Coordinates of the qubit modes, (b) coordinates of the non-qubit modes.
... Spectral analysis of the NOT (top) and CNOT (bottom) gate. The solid lines correspond to the spectra of the optimized pulses, the dashed lines to the spectra of the sub pulses. The vertical lines indicate the relevant qubit basis transition frequencies for the quantum gates.
... spectroscopical data of the qubit vibrational modes E and A1 and the non-qubit modes, the δ-deformation mode (E) and the dissociative mode (A1)
Contributors:Howan Leung, Cannon X.L. Zhu, Danny T.M. Chan, Wai S. Poon, Lin Shi, Vincent C.T. Mok, Lawrence K.S. Wong
High-frequencyoscillations... An example of the implantation schedule (patient #1) demonstrating areas with conventional frequency ictal patterns, ictal high-frequencyoscillations, hyperexcitability, and radiological lesions.
... An example of the implantation schedule (patient #7) demonstrating areas with conventional frequency ictal patterns, ictal high-frequencyoscillations, hyperexcitability, and radiological lesions.
... Summary table for statistical analysis. HFO=high frequencyoscillations, CFIP=conventional frequency ictal patterns.
Contributors:Markku Penttonen, György Buzsáki
Oscillation bands form an arithmetic progression on the logarithmic scale. For each band the frequency (Hz) or period ranges are shown together with their commonly used names.
... Brain oscillators... Alpha, gamma and theta oscillations
Low-frequencyoscillations... Undamped swing curve: one oscillation mode.
... Un-damped swing curve with two oscillation modes: f1=0.4, f2=0.5Hz and σ1=−0.025, σ2=+0.037s−1.
Contributors:Olivier Audouin, Jacques Bodin
Frequency spectrum of the slug-test response in HES well M05, for an initial head displacement H0=0.2m (slug-test reference=STM5_02).
... Filtering of high-frequencyoscillations: example of processing of the slug test STM5_02 (HES well M05, initial head displacement H0=0.2m).
... High-frequencyoscillations... Filter shape in the frequency domain for ρ=0.9.
... Interpretation of high-frequencyoscillations: inertia-induced water level fluctuations in the annular space between the inner PVC casing and the outer steel casing.
... Typical slug-test responses in HES wells. (a) “Standard” overdamped response; (b) “standard” underdamped response with low-frequencyoscillations; (c) overdamped response with high-frequencyoscillations; (d) underdamped response with dual-frequencyoscillations.
Contributors:L.-E. Wernersson, M. Ärlelid, M. Egard, E. Lind
Measured and simulated output power spectrum for the oscillators at Vg=0V and Vc=1.0V (left). The fundamental oscillation is at 15.71GHz. The bias stability diagram of the oscillator (right).
... Measured oscillationfrequency as a function of gate bias at Vc=2.4V. The arrows indicate the two sweep directions.
... Measured oscillator output power for varying DC gate biases. The squares represent the fundamental oscillationfrequency, the circles the 2nd harmonic and the stars the 3rd harmonic oscillation.
... Measured performance operating the oscillator as a mixer.
... Measured (circles) and simulated (squares) oscillationfrequencies for different wave-guides specified in Table 1. The data points for D are solid while C are open.
Contributors:Gülnur Birol, Abdel-Qader M Zamamiri, Martin A. Hjortsø
Frequency spectra (a), (b) and (c) correspond to the frequency spectra of signals in Fig. 6 (a), (b) and (c), respectively. By construction, frequency spectrum in (a) is equal to the sum of the spectra in (b) and (c).
... Period and amplitude of oscillation versus average dilution rate (h−1) calculated by FFT analysis in intervals of 512 data points of the filtered data shown in Fig. 4.
... Frequency spectra of the exhaust CO2 signal shown in Fig. 1: (a) through (d) correspond to regions 1 through 4 of Fig. 1, respectively; (e) shows the frequency spectrum of the overall signal.
... Autonomous oscillations... Calculated periods of oscillations, in minutes, obtained by FFT analysis of various signals
... Filtered CO2 signal of the ramp experiment shown in Fig. 3. The filtered signal was obtained by subtracting moving signal averages from the original signal and represents the oscillating part of the signal.