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Excitation of absorbing exceptional points in the time domain

Asaf Farhi1, Ahmed Mekawy2,3, Andrea Alù2,3,4, and Douglas Stone1,5

  • 1Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
  • 2Photonics Initiative, Advanced Science Research Center, City University of New York, New York, New York 10031, USA
  • 3Department of Electrical Engineering, City College of the City University of New York, New York, New York 10031, USA
  • 4Physics Program, Graduate Center, City University of New York, New York, New York 10016, USA
  • 5Yale Quantum Institute, Yale University, New Haven, Connecticut 06520, USA

Phys. Rev. A 106, L031503 – Published 15 September, 2022

DOI: https://doi.org/10.1103/PhysRevA.106.L031503

Abstract

We analyze the time-domain dynamics of resonators supporting exceptional points (EPs), at which both the eigenfrequencies and the eigenmodes associated with perfect capture of an input wave coalesce. We find that a time-domain signature of the EP is an expansion of the class of waveforms which can be perfectly captured. We show that such resonators have improved performance for storage or transduction of energy. They also can be used to convert between waveforms within this class. We analytically derive these features and demonstrate them for several examples of coupled optical resonator systems.

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