Next Article in Journal
Solving Triangular Intuitionistic Fuzzy Matrix Game by Applying the Accuracy Function Method
Previous Article in Journal
Integral Inequalities of Chebyshev Type for Continuous Fields of Hermitian Operators Involving Tracy–Singh Products and Weighted Pythagorean Means
Previous Article in Special Issue
Aperiodic-Order-Induced Multimode Effects and Their Applications in Optoelectronic Devices
Open AccessReview

Localization Properties of Non-Periodic Electrical Transmission Lines

Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Arica, Box 6-D, Chile
Symmetry 2019, 11(10), 1257; https://doi.org/10.3390/sym11101257
Received: 7 September 2019 / Revised: 30 September 2019 / Accepted: 1 October 2019 / Published: 9 October 2019
(This article belongs to the Special Issue Symmetry and Asymmetry in Quasicrystals or Amorphous Materials)
The properties of localization of the I ω electric current function in non-periodic electrical transmission lines have been intensively studied in the last decade. The electric components have been distributed in several forms: (a) aperiodic, including self-similar sequences (Fibonacci and m-tuplingtupling Thue–Morse), (b) incommensurate sequences (Aubry–André and Soukoulis–Economou), and (c) long-range correlated sequences (binary discrete and continuous). The localization properties of the transmission lines were measured using typical diagnostic tools of quantum mechanics like normalized localization length, transmission coefficient, average overlap amplitude, etc. As a result, it has been shown that the localization properties of the classic electric transmission lines are similar to the one-dimensional tight-binding quantum model, but also features some differences. Hence, it is worthwhile to continue investigating disordered transmission lines. To explore new localization behaviors, we are now studying two different problems, namely the model of interacting hanging cells (consisting of a finite number of dual or direct cells hanging in random positions in the transmission line), and the parity-time symmetry problem ( PT -symmetry), where resistances R n are distributed according to gain-loss sequence ( R 2 n = + R , R 2 n 1 = R ). This review presents some of the most important results on the localization behavior of the I ω electric current function, in dual, direct, and mixed classic transmission lines, when the electrical components are distributed non-periodically. View Full-Text
Keywords: non-periodic systems; localization properties; electrical transmission lines non-periodic systems; localization properties; electrical transmission lines
Show Figures

Graphical abstract

MDPI and ACS Style

Lazo, E. Localization Properties of Non-Periodic Electrical Transmission Lines. Symmetry 2019, 11, 1257.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop