Transverse localization of light in the disordered one-dimensional waveguide arrays in the linear and nonlinear regimes

2013 ◽  
Vol 296 ◽  
pp. 65-71 ◽  
Author(s):  
Lei Xu ◽  
Yi Yin ◽  
Fang Bo ◽  
Jingjun Xu ◽  
Guoquan Zhang
Keyword(s):  
One Dimensional ◽  
Waveguide Arrays ◽  
Linear And Nonlinear ◽  
Nonlinear Regimes

Simulation-based site amplification model for shallow bedrock sites in Korea

2021 ◽  
pp. 875529302098198
Author(s):  
Muhammad Aaqib ◽  
Duhee Park ◽  
Muhammad Bilal Adeel ◽  
Youssef M A Hashash ◽  
Okan Ilhan
Keyword(s):  
Linear Models ◽  
Site Response ◽  
Site Amplification ◽  
One Dimensional ◽  
Nonlinear Component ◽  
Nonlinear Site Response ◽  
Simulation Based ◽  
Linear And Nonlinear ◽  
Input Motion ◽  
Nonlinear Components

A new simulation-based site amplification model for shallow sites with thickness less than 30 m in Korea is developed. The site amplification model consists of linear and nonlinear components that are developed from one-dimensional linear and nonlinear site response analyses. A suite of measured shear wave velocity profiles is used to develop corresponding randomized profiles. A VS30 scaled linear amplification model and a model dependent on both VS30 and site period are developed. The proposed linear models compare well with the amplification equations developed for the western United States (WUS) at short periods but show a distinct curved bump between 0.1 and 0.5 s that corresponds to the range of site natural periods of shallow sites. The response at periods longer than 0.5 s is demonstrated to be lower than those of the WUS models. The functional form widely used in both WUS and central and eastern North America (CENA), for the nonlinear component of the site amplification model, is employed in this study. The slope of the proposed nonlinear component with respect to the input motion intensity is demonstrated to be higher than those of both the WUS and CENA models, particularly for soft sites with VS30 < 300 m/s and at periods shorter than 0.2 s. The nonlinear component deviates from the models for generic sites even at low ground motion intensities. The comparisons highlight the uniqueness of the amplification characteristics of shallow sites that a generic site amplification model is unable to capture.

Full-wave test of the radial correlation reflectometry analytical theory in linear and nonlinear regimes

2006 ◽  
Vol 48 (9) ◽  
pp. 1389-1400 ◽  
Author(s):  
G Leclert ◽  
S Heuraux ◽  
E Z Gusakov ◽  
A Yu Popov ◽  
I Boucher ◽  
...  
Keyword(s):  
Analytical Theory ◽  
Full Wave ◽  
Linear And Nonlinear ◽  
Nonlinear Regimes

scholarly journals A Note on Double Conformable Laplace Transform Method and Singular One Dimensional Conformable Pseudohyperbolic Equations

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 949 ◽  
Author(s):  
Hassan Eltayeb ◽  
Said Mesloub ◽  
Yahya T. Abdalla ◽  
Adem Kılıçman
Keyword(s):  
Present Method ◽  
Decomposition Method ◽  
Numerical Solutions ◽  
High Accuracy ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Numerical Examples ◽  
One Dimensional ◽  
Linear And Nonlinear ◽  
Laplace Decomposition Method

The purpose of this article is to obtain the exact and approximate numerical solutions of linear and nonlinear singular conformable pseudohyperbolic equations and conformable coupled pseudohyperbolic equations through the conformable double Laplace decomposition method. Further, the numerical examples were provided in order to demonstrate the efficiency, high accuracy, and the simplicity of present method.

scholarly journals Unexpected entanglement dynamics in semidilute blends of supercoiled and ring DNA

Soft Matter ◽  
2020 ◽  
Vol 16 (1) ◽  
pp. 152-161 ◽  
Author(s):  
Karthik R. Peddireddy ◽  
Megan Lee ◽  
Yuecheng Zhou ◽  
Serenity Adalbert ◽  
Sylas Anderson ◽  
...  
Keyword(s):  
Entanglement Dynamics ◽  
Linear And Nonlinear ◽  
Nonlinear Regimes

Semidilute blends of supercoiled and ring DNA exhibit surprising entanglement dynamics both in linear and nonlinear regimes.

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