Dispersion analysis of a two-dimensional metastable metastructure considering damping and nonlinear effects

2021 ◽  
Vol 129 (11) ◽  
pp. 114902
Author(s):  
Xiang Liu ◽  
Guoping Cai ◽  
K. W. Wang
Keyword(s):  
Nonlinear Effects ◽  
Dispersion Analysis ◽  
Two Dimensional

scholarly journals TSUNAMI GENERATION AND PROPAGATION

1972 ◽  
Vol 1 (13) ◽  
pp. 146
Author(s):  
Joseph L. Hammack ◽  
Frederic Raichlen
Keyword(s):  
Linear Theory ◽  
Source Region ◽  
Three Dimensional ◽  
Frequency Dispersion ◽  
Nonlinear Effects ◽  
Its Region ◽  
Experimental Results ◽  
Specific Class ◽  
Two Dimensional ◽  
Three Dimensional Models

A linear theory is presented for waves generated by an arbitrary bed deformation {in space and time) for a two-dimensional and a three -dimensional fluid domain of uniform depth. The resulting wave profile near the source is computed for both the two and three-dimensional models for a specific class of bed deformations; experimental results are presented for the two-dimensional model. The growth of nonlinear effects during wave propagation in an ocean of uniform depth and the corresponding limitations of the linear theory are investigated. A strategy is presented for determining wave behavior at large distances from the source where linear and nonlinear effects are of equal magnitude. The strategy is based on a matching technique which employs the linear theory in its region of applicability and an equation similar to that of Korteweg and deVries (KdV) in the region where nonlinearities are equal in magnitude to frequency dispersion. Comparison of the theoretical computations with the experimental results indicates that an equation of the KdV type is the proper model of wave behavior at large distances from the source region.

scholarly journals Nonlinear processes in the bunched electron beams of high-power klystrons and the limits of analytical and one-dimensional numerical models applicability for their analysis.

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
V.Y. Rodyakin ◽  
◽  
V.M. Pikunov ◽  
V.N. Aksenov ◽  
◽  
...  
Keyword(s):  
Electron Beam ◽  
High Power ◽  
Numerical Models ◽  
Nonlinear Effects ◽  
Analytical Models ◽  
Modulation Amplitude ◽  
Two Dimensional ◽  
One Dimensional ◽  
Charge Parameter ◽  
Program Data

We present the results of a comparative theoretical analysis of the electron beam bunching in a single-stage klystron amplifier using analytical models, a one-dimensional disk program, and a two-dimensional program. Data on the influence of various one-dimensional and two-dimensional nonlinear effects on the efficiency of electron beam bunching at different values of the space charge parameter and the modulation amplitude are presented. The limits of applicability of analytical and one-dimensional numerical models for electron beam bunching analysis in high-power klystron amplifiers are found.

Nonlinear effects in dense two-dimensional exciton polariton system

2001 ◽  
Vol 44 (10S) ◽  
pp. 54-57
Author(s):  
V D Kulakovskii ◽  
A I Tartakovskii ◽  
D N Krizhanovskii ◽  
M S Skolnick
Keyword(s):  
Nonlinear Effects ◽  
Two Dimensional

Two-dimensional Z-scan method for the measurement of optical nonlinear effects

1997 ◽  
Author(s):  
Peilin Chen ◽  
Ivan V. Tomov ◽  
Peter M. Rentzepis ◽  
Masato Nakashima ◽  
Joseph F. Roach
Keyword(s):  
Nonlinear Effects ◽  
Two Dimensional

Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square

1991 ◽  
Vol 434 (1891) ◽  
pp. 413-417 ◽  
Keyword(s):  
Pattern Formation ◽  
General Pattern ◽  
Reaction Diffusion ◽  
Nonlinear Effects ◽  
Neural Nets ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
Linearized Model ◽  
Selection Of

Bifurcation to spatial patterns in a two-dimensional reaction—diffusion medium is considered. The selection of stripes versus spots is shown to depend on the nonlinear terms and cannot be discerned from the linearized model. The absence of quadratic terms leads to stripes but in most common models quadratic terms will lead to spot patterns. Examples that include neural nets and more general pattern formation equations are considered.

Conditional Nonlinear Optimal Perturbations of a Two-Dimensional Quasigeostrophic Model

2006 ◽  
Vol 63 (6) ◽  
pp. 1587-1604 ◽  
Author(s):  
Mu Mu ◽  
Zhiyue Zhang
Keyword(s):  
Singular Vector ◽  
Nonlinear Evolution ◽  
Initial Perturbation ◽  
Nonlinear Effects ◽  
Two Dimensional ◽  
Physical Problems ◽  
Maximum Value ◽  
The Difference ◽  
Quasigeostrophic Model ◽  
The Cost

Abstract Conditional nonlinear optimal perturbations (CNOPs) of a two-dimensional quasigeostrophic model are obtained numerically. The CNOP is the initial perturbation whose nonlinear evolution attains the maximum value of the cost function, which is constructed according to the physical problems of interests with physical constraint conditions. The difference between the CNOP and a linear singular vector is compared. The results demonstrate that CNOPs catch the nonlinear effects of the model on the evolutions of the initial perturbations. These results suggest that CNOPs are applicable to the study of predictability and sensitivity analysis when nonlinearity is of importance.

Characterization of nonlinear effects in a two-dimensional dielectric elastomer actuator

2010 ◽  
Vol 19 (10) ◽  
pp. 105027 ◽  
Author(s):  
Y Jhong ◽  
D Mikolas ◽  
T Yeh ◽  
W Fang ◽  
D Shaw ◽  
...  
Keyword(s):  
Nonlinear Effects ◽  
Dielectric Elastomer ◽  
Two Dimensional ◽  
Dielectric Elastomer Actuator
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