scholarly journals Band structure and effective properties of one-dimensional thermoacoustic Bloch waves

2021 ◽  
Vol 104 (10) ◽  
Author(s):  
Haitian Hao ◽  
Fabio Semperlotti
Keyword(s):  
Band Structure ◽  
Effective Properties ◽  
Bloch Waves ◽  
One Dimensional

Bloch wave degeneracies in systematic high energy electron diffraction

1976 ◽  
Vol 282 (1308) ◽  
pp. 485-525 ◽  
Keyword(s):  
Band Structure ◽  
Incident Beam ◽  
High Energy ◽  
Real Space ◽  
Bloch Wave ◽  
Critical Voltage ◽  
Bloch Waves ◽  
One Dimensional ◽  
Symmetry Properties ◽  
Reflexion Coefficient

For the systematic diffraction of high energy electrons by a thin crystalline slab, we study the accidental degeneracies of the Bloch waves excited in the specimen by the incident beam. It is shown that these Bloch waves are the eigenstates of a one dimensional band structure problem, and this is solved by wave matching methods. For a symmetric potential, the symmetry properties of the Bloch waves are discussed, and it is shown how accidental degeneracies of these waves can occur when the reflexion coefficient for waves incident on one unit cell of the one dimensional periodic potential vanishes. The form of the band structure and the Bloch waves in the neighbourhood of a degeneracy are derived by expanding the Kramers function in a Taylor series. It is then shown analytically how the degeneracy affects the diffracted waves emerging from the crystalline specimen (in particular, the Kikuchi pattern). To understand these effects fully, W. K. B. approximations for the Bloch waves are used to derive the Bloch wave excitations and the absorption coefficients. However, to predict the degeneracies themselves, it is shown that a different formula for the reflexion coefficient, due to Landauer, must be used. This formula shows how the critical voltage at which the Bloch waves degenerate depends on the form of the potential, and allows quick, accurate, computations of the critical voltages to be made. Also, a new higher order degeneracy is predicted for some of the systematic potentials of cadmium, lead and gold. Finally, to infer the potential in real space from measurements of critical voltages and several other quantities, we suggest an inversion scheme based on the Landauer formula for the reflexion coefficient. To a close approximation this potential is proportional to V 2 of the crystal charge density.

scholarly journals Band structure, phase transitions, and semiconductor analogs in one-dimensional solid light systems

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
James Quach ◽  
Melissa I. Makin ◽  
Chun-Hsu Su ◽  
Andrew D. Greentree ◽  
Lloyd C. L. Hollenberg
Keyword(s):  
Phase Transitions ◽  
Band Structure ◽  
One Dimensional ◽  
Structure Phase

Robust One-Dimensional Metallic Band Structure of Silicide Nanowires

2005 ◽  
Vol 95 (20) ◽  
Author(s):  
H. W. Yeom ◽  
Y. K. Kim ◽  
E. Y. Lee ◽  
K.-D. Ryang ◽  
P. G. Kang
Keyword(s):  
Band Structure ◽  
One Dimensional

Peculiarities of band structure of one-dimensional photonic crystals

Optik ◽  
2019 ◽  
Vol 180 ◽  
pp. 745-753 ◽  
Author(s):  
A.H. Gevorgyan ◽  
H. Gharagulyan ◽  
S.A. Mkhitaryan
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
One Dimensional

Evanescent Bloch waves and the complex band structure of phononic crystals

2009 ◽  
Vol 80 (9) ◽  
Author(s):  
Vincent Laude ◽  
Younes Achaoui ◽  
Sarah Benchabane ◽  
Abdelkrim Khelif
Keyword(s):  
Band Structure ◽  
Phononic Crystals ◽  
Bloch Waves

One-dimensional photonic crystals of inhomogeneous thin films: band structure of rugate filters

2005 ◽  
Vol 244 (1-6) ◽  
pp. 259-267 ◽  
Author(s):  
F. Aguayo-Ríos ◽  
F. Villa-Villa ◽  
J.A. Gaspar-Armenta
Keyword(s):  
Thin Films ◽  
Photonic Crystals ◽  
Band Structure ◽  
One Dimensional

The band structure of the quasi-one-dimensional layered semiconductor TiS3(001)

2018 ◽  
Vol 112 (5) ◽  
pp. 052102 ◽  
Author(s):  
Hemian Yi ◽  
Takashi Komesu ◽  
Simeon Gilbert ◽  
Guanhua Hao ◽  
Andrew J. Yost ◽  
...  
Keyword(s):  
Band Structure ◽  
Layered Semiconductor ◽  
One Dimensional

Band structure of a one-dimensional bilayer magnonic crystal

2019 ◽  
Vol 100 (14) ◽  
Author(s):  
P. Alvarado-Seguel ◽  
R. A. Gallardo
Keyword(s):  
Band Structure ◽  
One Dimensional ◽  
Magnonic Crystal
Sign in / Sign up

Export Citation Format

Share Document