Stability Constraints on Practical Implementation of Parity-Time-Symmetric Electromagnetic Systems

Abstract

Recently, several applications leveraging unconventional manipulation of electromagnetic radiation based on parity-time symmetry have been proposed in the literature. Typical examples include systems with unidirectional invisibility and asymmetric refraction. Such applications assume an inherent system stability and no occurrence of unbounded signal growth or unwanted self-oscillations. Here, a general instability issue of parity-time-symmetric systems is investigated, with particular emphasis on a recently proposed system based on resistive metasurfaces. Explicit closed-form stability criterion is derived, crosschecked and verified by both time-domain transient simulations and the measurements on an experimental demonstrator operating in a lower radiofrequency range. Results of this study lead to the conclusion that any parity-time-symmetric system is necessarily marginally stable. Finally, it is shown that such a marginally stable system may easily become unstable if not designed carefully.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 18, 2021
Source ID
10.3390/photonics8020056

Entities

People

  • Igor Krois
  • Josip Lončar
  • Josip Vuković
  • Silvio Hrabar

Organizations

  • Croatian Science Foundation

Tags

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.