Stability analysis of nonlinear localized modes at the phase-slip defect in one dimensional waveguide array

2010 ◽  
Author(s):  
I. Ilić ◽  
P. P. Beličev ◽  
M. Stepić ◽  
Lj. Hadžievski ◽  
Y. Tan ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Waveguide Array ◽  
Phase Slip ◽  
Localized Modes ◽  
One Dimensional

Observation of linear and nonlinear strongly localized modes at phase-slip defects in one-dimensional photonic lattices

2010 ◽  
Vol 35 (18) ◽  
pp. 3099 ◽  
Author(s):  
Petra P. Beličev ◽  
Igor Ilić ◽  
Milutin Stepić ◽  
Aleksandra Maluckov ◽  
Yang Tan ◽  
...  
Keyword(s):  
Phase Slip ◽  
Localized Modes ◽  
One Dimensional ◽  
Photonic Lattices ◽  
Linear And Nonlinear

scholarly journals TRACKING DOWN LOCALIZED MODES IN PT-SYMMETRIC HAMILTONIANS UNDER THE INFLUENCE OF A COMPETING NONLINEARITY

2014 ◽  
Vol 54 (2) ◽  
pp. 79-84 ◽  
Author(s):  
Bijan Bagchi ◽  
Subhrajit Modak ◽  
Prasanta K. Panigrahi
Keyword(s):  
Growth Rate ◽  
Refractive Index ◽  
Stability Analysis ◽  
Linear Stability Analysis ◽  
Time Reversal ◽  
Time Parameter ◽  
Optical Systems ◽  
Localized Modes ◽  
Symmetric Structures ◽  
Schrödinger System

The relevance of parity and time reversal (PT)-symmetric structures in optical systems has been known for some time with the correspondence existing between the Schrödinger equation and the paraxial equation of diffraction, where the time parameter represents the propagating distance and the refractive index acts as the complex potential. In this paper, we systematically analyze a normalized form of the nonlinear Schrödinger system with two new families of PT-symmetric potentials in the presence of competing nonlinearities. We generate a class of localized eigenmodes and carry out a linear stability analysis on the solutions. In particular, we find an interesting feature of bifurcation characterized by the parameter of perturbative growth rate passing through zero, where a transition to imaginary eigenvalues occurs.

scholarly journals Phase slip process and charge density wave dynamics in a one dimensional conductor

2017 ◽  
Vol 7 ◽  
pp. 3277-3280 ◽  
Author(s):  
N. Habiballah ◽  
M. Zouadi ◽  
A. Arbaoui ◽  
M. Qjani ◽  
J. Dumas
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Phase Slip ◽  
One Dimensional ◽  
Wave Dynamics

PIEZOELECTRIC MATERIAL AND ONE-DIMENSIONAL PHONONIC CRYSTAL

2019 ◽  
Vol 26 (02) ◽  
pp. 1850144 ◽  
Author(s):  
ARAFA H. ALY ◽  
AHMED NAGATY ◽  
Z. KHALIFA
Keyword(s):  
Electric Field ◽  
Piezoelectric Material ◽  
Material Properties ◽  
Phononic Crystal ◽  
Defect Layer ◽  
Phononic Crystals ◽  
Localized Modes ◽  
One Dimensional ◽  
Energy Applications ◽  
Relative Change

We have theoretically obtained the transmittance properties of one-dimensional phononic crystals incorporating a piezoelectric material as a defect layer. We have used the transfer matrix method in our analysis with/without defect materials. By increasing the thickness of the defect layer, we obtained a sharp peak created within the bandgap, that indicates to the significance of defect layer thickness on the band structure. The localized modes and a particular intensity estimated within the bandgap depend on the piezoelectric material properties. By applying different quantities of an external electric field, the position of the peak shifts to different frequencies. The electric field induces a relative change in the piezoelectric thickness. Our structure may be very useful in some applications such as sensors, acoustic switches, and energy applications.

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