Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices

2013 ◽  
pp. 1-26 ◽  
Author(s):  
Mark J. Ablowitz ◽  
Yi Zhu
Keyword(s):  
Nonlinear Dynamics ◽  
Wave Packets ◽  
Bloch Wave

Acoustic Behavior of Near Periodic Elastic Structures

1995 ◽  
Author(s):  
Douglas M. Photiadis
Keyword(s):  
Cross Section ◽  
Wave Packets ◽  
Acoustic Scattering ◽  
Direct Interaction ◽  
Bloch Wave ◽  
Acoustic Properties ◽  
Theoretical Development ◽  
Naval Research ◽  
Bragg Scattering ◽  
Elastic Structures

Abstract Near periodic arrays of discontinuities have been predicted to have a significant impact on the acoustic properties of elastic structures. The discontinuities in the elastic properties of the structure produce a characteristic signature in the acoustic scattering cross section of the structure via two distinct mechanisms; a direct interaction producing acoustic Bragg scattering, and an indirect interaction wherein the discontinuities fundamentally alter the free waves of the structure. The locally propagating states of the pseudo-periodic system are Floquet or Bloch wave packets and the locations of the highlights in the cross section may be determined simply from the Bloch wavenumber via a phase matching argument. Predicting the resulting scattering levels requires an understanding of the propagation of the Bloch wave packets in the finite, pseudo-periodic structure. In the case of a thin ribbed cylindrical shell or plate this scattering mechanism can arise from flexural waves, and recent experimental results obtained at Naval Research Laboratory have demonstrated the importance of both this mechanism and Bragg scattering on the acoustic far field over a broad frequency range. In this paper, these results and the underlying theoretical development will be discussed.

Bloch Wave Packets in Semiconductor Superlattices: Composition and Spatial Displacement

1998 ◽  
Vol 206 (1) ◽  
pp. 315-324 ◽  
Author(s):  
F. L�ser ◽  
M. Sudzius ◽  
V.G. Lyssenko ◽  
T. Hasche ◽  
K. Leo ◽  
...  
Keyword(s):  
Wave Packets ◽  
Bloch Wave ◽  
Spatial Displacement ◽  
Semiconductor Superlattices

scholarly journals A bound on the group velocity for Bloch wave packets

2015 ◽  
Vol 72 (2) ◽  
pp. 119-123
Author(s):  
Grégoire Allaire ◽  
Mariapia Palombaro ◽  
Jeffrey Rauch
Keyword(s):  
Group Velocity ◽  
Wave Packets ◽  
Bloch Wave

scholarly journals Dynamics of semiclassical Bloch wave packets

2007 ◽  
Vol 151 (3) ◽  
pp. 791-802 ◽  
Author(s):  
P. A. Horváthy ◽  
L. Martina
Keyword(s):  
Wave Packets ◽  
Bloch Wave

scholarly journals Diffractive Geometric Optics for Bloch Wave Packets

2011 ◽  
Vol 202 (2) ◽  
pp. 373-426 ◽  
Author(s):  
Grégoire Allaire ◽  
Mariapia Palombaro ◽  
Jeffrey Rauch
Keyword(s):  
Wave Packets ◽  
Bloch Wave ◽  
Geometric Optics

scholarly journals Nonlinear dynamics of Airy-vortex 3D wave packets: emission of vortex light waves

2014 ◽  
Vol 39 (19) ◽  
pp. 5539 ◽  
Author(s):  
Rodislav Driben ◽  
Torsten Meier
Keyword(s):  
Nonlinear Dynamics ◽  
Wave Packets ◽  
Light Waves

Generation and manipulation of Bloch wave packets

2000 ◽  
Vol 7 (1-2) ◽  
pp. 285-288 ◽  
Author(s):  
F. Löser ◽  
M. Sudzius ◽  
B. Rosam ◽  
V.G. Lyssenko ◽  
Y. Kosevich ◽  
...  
Keyword(s):  
Wave Packets ◽  
Bloch Wave
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