scholarly journals The Influence of Heat Treatment on the Phononic Multilayer Sensor

10.37358/3671 ◽  
2019 ◽  
Vol 70 (10) ◽  
pp. 3671-3673
Keyword(s):  
Heat Treatment ◽  
Amorphous Alloy ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Transmission Peak ◽  
Flowing Liquid ◽  
One Dimensional

In the work, the transmission of aperiodic quasi one-dimensional sensor built of Zr55Cu30Ni5Al10 amorphous alloy was tested using the Transfer Matrix Method algorithm. Transmission peak shifts were analyzed depending on the temperature of the flowing liquid. The influence of annealing in the temperatures 693K and 773K of the amorphous alloy on the structure of the sensor transmission bands was analyzed. The existence of bands in the examined structures has been shown. The best phononic properties were found in the structure heated to 773 K. Keywords: phononic, transfer marix, aperiodic, multilayers, acoustic

The Influence of Heat Treatment on the Phononic Multilayer Sensor

2019 ◽  
Vol 70 (10) ◽  
pp. 3671-3673
Author(s):  
Sebastian Garus
Keyword(s):  
Heat Treatment ◽  
Amorphous Alloy ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Transmission Peak ◽  
Flowing Liquid ◽  
One Dimensional

In the work, the transmission of aperiodic quasi one-dimensional sensor built of Zr55Cu30Ni5Al10 amorphous alloy was tested using the Transfer Matrix Method algorithm. Transmission peak shifts were analyzed depending on the temperature of the flowing liquid. The influence of annealing in the temperatures 693K and 773K of the amorphous alloy on the structure of the sensor transmission bands was analyzed. The existence of bands in the examined structures has been shown. The best phononic properties were found in the structure heated to 773 K.

Single Defect in Finite one Dimensional Photonic Crystals

2012 ◽  
Vol 614-615 ◽  
pp. 1629-1632
Author(s):  
Gang Xu ◽  
Yun Sun
Keyword(s):  
Photonic Crystals ◽  
Transmission Coefficient ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Defect Mode ◽  
Transmission Peak ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Single Defect ◽  
Reflection And Transmission Coefficient

Applying transfer matrix method, we get reflection and transmission coefficient of finite one dimensional photonic crystals. At the same time, we consider the position influence of single defect. We find the frequency of defect mode is same, but the height of transmission peak is not same when single defect is in different position of crystal. The transmission peak is maximum when the defect is in center of finite one dimensional photonic crystals.

scholarly journals Selective spin transport through a quantum heterostructure: Transfer matrix method

2016 ◽  
Vol 30 (25) ◽  
pp. 1650184 ◽  
Author(s):  
Moumita Dey ◽  
Santanu K. Maiti
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Spin Transport ◽  
Tight Binding ◽  
Transmission Probability ◽  
Applied Bias Voltage ◽  
One Dimensional ◽  
Wide Range ◽  
Nanoscale Level

In the present work, we propose that a one-dimensional quantum heterostructure composed of magnetic and non-magnetic (NM) atomic sites can be utilized as a spin filter for a wide range of applied bias voltage. A simple tight-binding framework is given to describe the conducting junction where the heterostructure is coupled to two semi-infinite one-dimensional NM electrodes. Based on transfer matrix method, all the calculations are performed numerically which describe two-terminal spin-dependent transmission probability along with junction current through the wire. Our detailed analysis may provide fundamental aspects of selective spin transport phenomena in one-dimensional heterostructures at nanoscale level.

The Saxon–Hutner Theorem, its Converse Theorem and their Applications to Localization and Delocalization Problems in Binary Quasiperiodic Lattices

1997 ◽  
Vol 11 (18) ◽  
pp. 2157-2182 ◽  
Author(s):  
Kazumoto Iguchi
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Cantor Set ◽  
Localized States ◽  
Edge States ◽  
Converse Theorem ◽  
One Dimensional ◽  
The One ◽  
Fibonacci Lattice

In this paper we discuss the application of the Saxon–Hutner theorem and its converse theorem in one-dimensional binary disordered lattices to the one-dimensional binary quasiperiodic lattices. We first summarize some basic theorems in one-dimensional periodic lattices. We discuss how the bulk and edge states are treated in the transfer matrix method. Second, we review the Saxon–Hutner theorem and prove the converse theorem, using the so-called Fricke identities. Third, we present an alternative approach for a rigorous proof of the existence of a Cantor-set spectrum in the Fibonacci lattice and in the related binary quasiperiodic lattices by means of the theorems together with their trace map with the invariant I. We obtain that if I > 0, then the spectrum is always a Cantor set, which was first proved for the Fibonacci lattice by Sütö and generalized for other quasiperiodic lattices by Bellissard, Iochum, Scopolla, and Testard. Fourth, we rigorously prove the existence of extended states in the spectrum of a class of binary quasiperiodic lattices first studied by Kolář and Ali. Fifth, we discuss the so-called gap labeling theorem emphasized by Bellissard and the classic argument of Kohn and Thouless for localized states in a one-dimensional disordered lattice in terms of the language of the transfer matrix method.

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