Wave Beams in Active Periodic Structures with Quadratic Nonlinearity

2021 ◽  
Vol 85 (12) ◽  
pp. 1370-1376
Author(s):  
M. V. Komissarova ◽  
I. G. Zakharova ◽  
T. M. Lysak ◽  
A. A. Kalinovich
Keyword(s):  
Periodic Structures ◽  
Quadratic Nonlinearity

Second-Order Perturbation Analysis of Low-Amplitude Traveling Waves in a Periodic Nonlinear Chain

2013 ◽  
Author(s):  
Smruti R. Panigrahi ◽  
Brian F. Feeny ◽  
Alejandro R. Diaz
Keyword(s):  
Traveling Waves ◽  
Perturbation Analysis ◽  
Multiple Scales ◽  
Periodic Structures ◽  
Second Order ◽  
Quadratic Nonlinearity ◽  
Wave Number ◽  
Nonlinear Chain ◽  
Multiple Scales Analysis ◽  
Low Amplitude

Traveling waves in one-dimensional nonlinear periodic structures are investigated for low-amplitude oscillations using perturbation analysis. We use second-order multiple scales analysis to capture the effects of quadratic nonlinearity. Comparisons with the linear and cubical nonlinear cases are presented in the dispersion relationship, group velocity and phase velocity and their dependence on wave number and amplitude of oscillation. Quadratic nonlinearity is shown to have a significant effect on the behavior.

Driven periodic structures in random environment

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-85-Pr10-87
Author(s):  
V. M. Vinokur
Keyword(s):  
Random Environment ◽  
Periodic Structures

On the linear theory of waves in media with periodic structures

1991 ◽  
Vol 161 (9) ◽  
pp. 201-209 ◽  
Author(s):  
Polina S. Landa ◽  
V.F. Marchenko
Keyword(s):  
Linear Theory ◽  
Periodic Structures
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