Exact solution to the steady-state dynamics of a periodically modulated resonator

Abstract

We provide an analytic solution to the coupled-mode equations describing the steady-state of a single periodically modulated optical resonator driven by a monochromatic input. The phenomenology of this system was qualitatively understood only in the adiabatic limit, i.e., for low modulation speed. However, both in and out of this regime, we find highly non-trivial effects for specific parameters of the modulation. For example, we show complete suppression of the transmission even with zero detuning between the input and the static resonator frequency. We also demonstrate the possibility for complete, lossless frequency conversion of the input into the sideband frequencies, as well as for optimizing the transmitted signal towards a given target temporal waveform. The analytic results are validated by first-principle simulations.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 09, 2017
Source ID
10.1063/1.4985381

Entities

People

  • Momchil Minkov
  • Shanhui Fan
  • Yu Shi

Organizations

  • Air Force Office of Scientific Research
  • Stanford University
  • Swiss National Science Foundation

Tags

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation
  • Microwave Engineering.