Silver-mean canonical quasicrystalline-generated phononic waveguides

2022 ◽  
pp. 116679
Author(s):  
A.K.M. Farhat ◽  
L. Morini ◽  
M. Gei
Keyword(s):  
Silver Mean

LATTICE DYNAMICS OF THE BINARY APERIODIC CHAINS OF ATOMS I: FRACTAL DIMENSION OF PHONON SPECTRA

1995 ◽  
Vol 09 (12) ◽  
pp. 1429-1451 ◽  
Author(s):  
WŁODZIMIERZ SALEJDA
Keyword(s):  
Fractal Dimension ◽  
Lattice Dynamics ◽  
Nearest Neighbor ◽  
Average Distance ◽  
Local Maximum ◽  
Fractal Dimensions ◽  
Dimension Formula ◽  
Phonon Spectra ◽  
Wide Range ◽  
Silver Mean

The microscopic harmonic model of lattice dynamics of the binary chains of atoms is formulated and studied numerically. The dependence of spring constants of the nearest-neighbor (NN) interactions on the average distance between atoms are taken into account. The covering fractal dimensions [Formula: see text] of the Cantor-set-like phonon spec-tra (PS) of generalized Fibonacci and non-Fibonaccian aperiodic chains containing of 16384≤N≤33461 atoms are determined numerically. The dependence of [Formula: see text] on the strength Q of NN interactions and on R=mH/mL, where mH and mL denotes the mass of heavy and light atoms, respectively, are calculated for a wide range of Q and R. In particular we found: (1) The fractal dimension [Formula: see text] of the PS for the so-called goldenmean, silver-mean, bronze-mean, dodecagonal and Severin chain shows a local maximum at increasing magnitude of Q and R>1; (2) At sufficiently large Q we observe power-like diminishing of [Formula: see text] i.e. [Formula: see text], where α=−0.14±0.02 and α=−0.10±0.02 for the above specified chains and so-called octagonal, copper-mean, nickel-mean, Thue-Morse, Rudin-Shapiro chain, respectively.

scholarly journals A NONRECIPROCAL MULTI-CHANNEL BANDSTOP FILTER USING THE GENERALIZED FIBONACCI MULTIFERROIC SUPERLATTICES WITH THE SILVER-MEAN SEQUENCE

2016 ◽  
Vol 45 ◽  
pp. 73-81 ◽  
Author(s):  
Zhenhua Tang ◽  
Xuhui Liu ◽  
Dajun Lei ◽  
Jian-Quan Huang ◽  
Feng Qiu ◽  
...  
Keyword(s):  
Silver Mean ◽  
Bandstop Filter

scholarly journals Spectral and diffusive properties of silver-mean quasicrystals in one, two, and three dimensions

2005 ◽  
Vol 72 (5) ◽  
Author(s):  
V. Z. Cerovski ◽  
M. Schreiber ◽  
U. Grimm
Keyword(s):  
Three Dimensions ◽  
Silver Mean

Transmission properties of multilayered Period Doubling and Silver-Mean graphene structures

2012 ◽  
Vol 1371 ◽  
Author(s):  
G. Rodríguez-Arellano ◽  
D. P. Juárez-López ◽  
J. Madrigal-Melchor ◽  
R. Pérez-Álvarez ◽  
J. C. Martínez-Orozco ◽  
...  
Keyword(s):  
Graphene Sheet ◽  
Transfer Matrix ◽  
Period Doubling ◽  
Substitution Rule ◽  
Transmission Properties ◽  
Silver Mean ◽  
Propagation Properties ◽  
Graphene Structures ◽  
Breaking Symmetry

ABSTRACTWe present the propagation properties of Dirac-electrons in multilayered Period-Doubling (MPDGS) and Silver-Mean (MSMGS) graphene structures. The multilayered graphene structures are built arranging breaking and non-breaking symmetry substrates such as SiC and SiO2 following a given quasirregular substitution rule locating on them a graphene sheet. We have implemented the Transfer Matrix technique to calculate the transmittance of these multilayered graphene structures. This technique allows us to analyze readily the main differences of the transmission properties between MPDGS and MSMGS.

Formation of Atomically Flat Silver Films on GaAs with a "Silver Mean" Quasi Periodicity

Science ◽  
1996 ◽  
Vol 273 (5272) ◽  
pp. 226-228 ◽  
Author(s):  
A. R. Smith ◽  
K.-J. Chao ◽  
Q. Niu ◽  
C.-K. Shih
Keyword(s):  
Silver Films ◽  
Silver Mean ◽  
Atomically Flat
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