scholarly journals Controlling Microresonator Solitons with the Counter-Propagating Pump

Photonics ◽  
2021 ◽  
Vol 8 (7) ◽  
pp. 239
Author(s):  
Zhiwei Fan ◽  
Dmitry V. Skryabin
Keyword(s):  
Nonlinear Interaction ◽  
Repetition Rate ◽  
Ring Microresonator ◽  
Resonance Frequencies ◽  
Propagating Waves ◽  
Soliton Control ◽  
Simulation Results ◽  
Model Equations

Considering a bidirectionally pumped ring microresonator, we provide a concise derivation of the model equations allowing us to eliminate the repetition rate terms and reduce the nonlinear interaction between the counter-propagating waves to the power-dependent shifts of the resonance frequencies. We present the simulation results of the soliton control by swiping the frequency of the counter-propagating wave in the forward and backward directions and with the soliton-blockade effect either present or not. We highlight the non-reciprocity of the forward and backward scans. Furthermore, we report the soliton crystals and breathers existing in the vicinity of the blockade interval.

Solitary-wave solutions of nonlinear problems

1990 ◽  
Vol 331 (1617) ◽  
pp. 195-244 ◽  
Keyword(s):  
Fixed Point ◽  
Solitary Waves ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Nonlinear Problems ◽  
One Dimensional ◽  
Propagating Waves ◽  
Model Equations ◽  
Permanent Form ◽  
General Method

A general method is presented for the exact treatment of analytical problems that have solutions representing solitary waves. The theoretical framework of the method is developed in abstract first, providing a range of fixed-point theorems and other useful resources. It is largely based on topological concepts, in particular the fixed-point index for compact mappings, and uses a version of positive-operator theory referred to Frechet spaces. Then three exemplary problems are treated in which steadily propagating waves of permanent form are known to be represented. The first covers a class of one-dimensional model equations that generalizes the classic Korteweg—de Vries equation. The second concerns two-dimensional wave motions in an incompressible but density-stratified heavy fluid. The third problem describes solitary waves on water in a uniform canal.

System-Level Modal Representation of Flexible Multibody Systems

2009 ◽  
Author(s):  
Gert H. K. Heirman ◽  
Wim Desmet
Keyword(s):  
Model Reduction ◽  
Multibody Systems ◽  
Degrees Of Freedom ◽  
Flexible Multibody Systems ◽  
System Level ◽  
Algebraic Equations ◽  
Flexible Multibody ◽  
Simulation Results ◽  
Model Equations ◽  
Model Reduction Technique

The presence of both differential and algebraic equations in the model equations, as well as the number of degrees of freedom needed to accurately represent flexibility, prohibit fast simulation of flexible multibody systems (e.g. real-time). In this research, Global Modal Parametrization, a model reduction technique for flexible multibody systems is further developed to speed up simulation of flexible multibody systems. The reduction of the model is achieved by projection on a curvilinear subspace instead of a fixed vector space, requiring significantly less degrees of freedom to represent the system dynamics with the same level of accuracy. The complexity of simulation of the reduced model equations is estimated. In a numerical experiment, simulation results for the original model equations are compared with simulation results for the model equations obtained after model reduction, showing a good match. The dominant sources of error of the proposed methodology are illustrated and explained.

scholarly journals Application of computer algebra for the construction of shell models of turbulence

2019 ◽  
Vol 127 ◽  
pp. 02004
Author(s):  
Liubov Feshchenko ◽  
Gleb Vodinchar
Keyword(s):  
Conservation Laws ◽  
Computer Algebra ◽  
Nonlinear Interaction ◽  
Stationary Solutions ◽  
Symbolic Calculation ◽  
Shell Models ◽  
Model Equations ◽  
Shell Models Of Turbulence

The technique for automatic constructing of shell models of turbulence has been developed. The compilation of a model equations and its exactly solution is implemented using computer algebra (symbolic calculation) systems. The technique allows one to vary the scaling nonlocality of nonlinear interaction, form of expressions for conservation laws in models, and the form of stationary solutions with power distributions to scales.

Development of an Ultrasonic-Vibration Microforming Apparatus

2011 ◽  
Vol 189-193 ◽  
pp. 4092-4096 ◽  
Author(s):  
Jung Chung Hung ◽  
Ching Shyong Shieh
Keyword(s):  
Ultrasonic Vibration ◽  
Force Control ◽  
Closed Loop ◽  
Laser Interferometer ◽  
Load Capacity ◽  
Control Program ◽  
Integrated System ◽  
Resonance Frequencies ◽  
Micro Parts ◽  
Simulation Results

This study attempted to design and develop an integrated system of a microforming apparatus with ultrasonic-vibration device. A closed-loop displacement and force control was implemented with servo motors. The apparatus has a load capacity up to 10,000N. The displacement error curve of the platform was measured with API 5DLS laser interferometer, and fed into the control program to compensate for motion errors. The positioning precision of the platform has been upgraded up to 5μm, with a load accuracy of 0.5N. Taking advantage of FEA and optimization technology, boosters and resonator with 35 kHz frequency were designed and fabricated. The simulation results and the experimental results match perfectly on the account of resonance frequencies and amplitudes. To the end, the integration of the ultrasonic-vibration device with microforming platform demonstrates a precision process for micro-parts.

scholarly journals A Miniaturized Meandered Dipole UHF RFID Tag Antenna for Flexible Application

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Xiuwei Xuan ◽  
Lianrong Lv ◽  
Kun Li
Keyword(s):  
Large Scale ◽  
Experimental Studies ◽  
Dipole Antenna ◽  
Threshold Power ◽  
Uhf Rfid ◽  
Minimum Threshold ◽  
Rfid Tag ◽  
Resonance Frequencies ◽  
Simulation Results ◽  
Flexible Application

A miniaturized meandered dipole antenna for UHF RFID tag is proposed. Different resonance frequencies and impedance can be achieved by adjusting the number of the meanders, which can help to reduce the size of the antenna. Due to the radiation patches, the input impedance of the antenna can be flexibly tuned in a large scale. The proposed antenna is printed on polyethylene (PET) substrate with a total volume of 48 mm × 13.7 mm × 0.5 mm. Modeling and simulation results show that the reflection coefficient of the antenna is less than −15 dB at 860–960 MHz. Experimental studies demonstrate that the minimum threshold power of the antenna is between 23 and 26 dBm and the measured read range is 3-4 m.

Research on Piezoelectric Tube Stack for Radial Vibration Mode

2013 ◽  
Vol 721 ◽  
pp. 437-442
Author(s):  
Chao Zhong ◽  
Li Kun Wang ◽  
Lei Qin ◽  
Jing Jing Zhou ◽  
Cui Ying Chen ◽  
...  
Keyword(s):  
Vibration Mode ◽  
Analytical Calculation ◽  
Fem Simulation ◽  
Average Radius ◽  
Radial Vibration ◽  
Mechanical Equivalent ◽  
Thin Tube ◽  
Resonance Frequencies ◽  
Simulation Results ◽  
The Relationship

According to electro-mechanical equivalent principle, piezoelectric tube stack electro-mechanical equivalent circuit is derived by the admittance of single piezoelectric thin tube. The resonance frequency of piezoelectric tube stack for radial vibration mode is also calculated. The relationship between resonance frequencies and average radius, thickness and height with radial vibration mode are obtained through analytical calculation. And radial vibration mode is simulated by FEM .Analytical calculation and FEM simulation results are compared. They coincide well with each other.

Stiffness and Nature Vibration Analyses of Linear Guideway Type

2011 ◽  
Vol 308-310 ◽  
pp. 1889-1892
Author(s):  
Wei Li ◽  
Gwo Chung Tsai ◽  
Wen Zhuo Li ◽  
Thin Lin Horng
Keyword(s):  
Vibration Frequency ◽  
Natural Vibration ◽  
Structural Vibration ◽  
Mode Shapes ◽  
Natural Vibration Frequency ◽  
Resonance Frequencies ◽  
Different Types ◽  
Simulation Results ◽  
Theoretical Results ◽  
Ansys Workbench

This study investigated the solution of the rigidity and structural vibration for system of linear guideway type based on ANSYS workbench. By comparing the results derived from the simulation of the model and the corresponding theoretical results, the validity of the theoretical solution can be verified. The analysis includes the system rigidity and the natural vibration frequency in the direction of vertical slider (Vertical), rolling (Rolling) and swing (Pitching), the structural vibration frequency for system of linear guideway type is carried out, the model is built according the true dimensions, what is more, the rollers are not necessary replaced by springs, because there is not so much difficulties by using ANSYS workbench and more accurate results can be obtained in this way. Two different types of simulation are carried out, and the simulation results show that different geometric sizes of slider, which mean different numbers of rollers, will change the resonance frequencies and mode shapes, and more rollers can enhance the stiffness of the LGT model, then reduce the possibility of resonance happening.

Analysis of Temperature Effects on a Fully-Symmetrical Micromachined Gyroscope

2009 ◽  
Vol 60-61 ◽  
pp. 31-35
Author(s):  
Wei Ping Chen ◽  
Yu Gang Guo ◽  
Xiao Liang Chen ◽  
Hong Chen ◽  
Zhen Gang Zhao
Keyword(s):  
Thermal Expansion ◽  
Temperature Effects ◽  
Test Results ◽  
Resonant Frequencies ◽  
Resonance Frequencies ◽  
Environment Temperature ◽  
Good Accordance ◽  
Simulation Results ◽  
Effects Of Temperature ◽  
Micromachined Gyroscope

This paper researches on the temperature effects of a fully-symmetrical micromachined gyroscope. The Young’s modulus and thermal expansion coefficient of silicon vary with the environment temperature, which affects the modes’ resonant frequencies of micromachined gyroscopes. The effects of temperature fluctuation on the modes’ resonant frequencies is simulated by the FEM software ANSYS. The simulation results show that the fully-symmetrical gyroscope’s resonance frequencies decrease with the increase of temperature and the decrease degree nearly 0.256Hz/°C, but the two modes’ resonance frequencies matches well. The micromachined gyroscope’s dynamic characteristics are tested. The resonant frequencies and the quality factor are reduced with the increase of temperature and the decrease degree of the fit linear about the resonant frequencies is 0.276 Hz/°C. The test results are in good accordance with the simulation results.

Nonlinear interaction of electrostatic ion-cyclotron and drift waves in plasmas

1996 ◽  
Vol 56 (1) ◽  
pp. 187-191 ◽  
Author(s):  
O. A. Pokhotelov ◽  
L. Stenflo ◽  
P. K. Shukla
Keyword(s):  
Nonlinear Interaction ◽  
Ponderomotive Force ◽  
Modulational Instability ◽  
Low Frequency ◽  
Drift Waves ◽  
Nonlinear Coupling ◽  
Constant Amplitude ◽  
Ion Cyclotron Waves ◽  
Ion Cyclotron ◽  
Model Equations

Model equations describing the nonlinear coupling between electrostatic ion-cyclotron and drift waves are derived, taking into account the action of the low-frequency ponderomotive force associated with the ion-cyclotron waves. It is found that this interaction is governed by a pair of equations, which can be used for studying the modulational instability of a constant amplitude ion-cyclotron wave as well as the dynamics of nonlinearly coupled ion-cyclotron and drift waves.

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