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Erschienen in: Optical and Quantum Electronics 10/2019

01.10.2019

Imaginary resistor based Parity-Time symmetry electronics dimers

verfasst von: Stéphane Boris Tabeu, Fernande Fotsa-Ngaffo, Aurélien Kenfack-Jiotsa

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2019

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Abstract

An approach of fabricating Parity-Time symmetry electronic dimers circuits is demonstrated using an imaginary resistor Z whose impedance is frequency independent. Remarkably, the dynamic rate equations of the coupled oscillators so-called ZRC dimers, uniquely consist of first order partial differential equations which result in a 2 ×2 effective Hamiltonians commuting with the joint Parity-Time (PT) operator. The method helps in describing two groups of PT symmetry electronics. The first group has an eigenspectrum that displays a single spontaneous PT transition or a thresholdless (THL) PT transition. The second group is a PT transitionless normal mode spectrum with essentially negative values of capacitors. The dynamics indicate that the system exhibits high frequencies propagation when operation is done before the thresholdless point is reached. The transitionless regime indicates an equilibrium point in the coupling for which the system turns to be conservative regardless the gain/loss values, and beyond which the gain/loss remarkably decays/amplifies wave. In addition, we observe a value of gain/loss above which there is a limitation of signal amplification.

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Metadaten
Titel
Imaginary resistor based Parity-Time symmetry electronics dimers
verfasst von
Stéphane Boris Tabeu
Fernande Fotsa-Ngaffo
Aurélien Kenfack-Jiotsa
Publikationsdatum
01.10.2019
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 10/2019
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-019-2048-9

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