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| DOI | 10.3390/SYM11101257 | ||||
| Año | 2019 | ||||
| Tipo | revisión |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
The properties of localization of the I (w) 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-Andre 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 Rn are distributed according to gain-loss sequence ( R2n = + R, R2n 1 = R). This review presents some of the most important results on the localization behavior of the I(w) electric current function, in dual, direct, and mixed classic transmission lines, when the electrical components are distributed non-periodically.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | LAZO-NUNEZ, EDMUNDO | Hombre |
Universidad de Tarapacá - Chile
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| Fuente |
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| Direccion de Investigacion, Postgrado y Transferencia Tecnologica de la Universidad de Tarapaca, Arica, Chile |
| Direcci?n de Investigaci?n |
| Universidad de Tarapac? |
| Direccion de Investigacion, Postgrado y Transferencia Tecnologica de la Universidad de Tarapaca |
| Agradecimiento |
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| This research was funded by Direccion de Investigacion, Postgrado y Transferencia Tecnologica de la Universidad de Tarapaca, Arica, Chile, grant number 4737-19. |
| The author is grateful for the collaboration of my colleagues and my students who, during the last decade, helped me in the study of the localization properties of disordered electrical transmission lines. This research was funded by Dirección de Investigación, Postgrado y Transferencia Tecnológica de la Universidad de Tarapacá, Arica, Chile, grant number 4737-19. |