Parametric Mie resonances and directional amplification in time-modulated scatterers

Abstract

We provide a theoretical description of light scattering by a spherical particle whose permittivity is modulated in time at twice the frequency of the incident light. Such a particle acts as a finite-sized photonic time crystal and, despite its sub-wavelength spatial extent, can host optical parametric amplification. Conditions of parametric Mie resonances in the sphere are derived. We show that time-modulated materials provide a route to tailor directional light amplification, qualitatively different from that in scatterers made from a gain media. We design two characteristic time-modulated spheres that simultaneously exhibit light amplification and desired radiation patterns, including those with zero backward and/or vanishing forward scattering. The latter sphere provides an opportunity for creating shadow-free detectors of incident light.

8 pages, 4 figures

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Cited by in corpus (8)

• Photonic time crystals: Theory and applications
• Expanding momentum bandgaps in photonic time crystals through resonances
• New horizons in near-zero refractive index photonics and hyperbolic metamaterials
• Beyond the Rozanov Bound on Electromagnetic Absorption via Periodic Temporal Modulations
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Parametric metasurfaces for electromagnetic wave amplification
• Parametric metasurfaces for amplified up-conversion of electromagnetic waves
• Resonant states of structured photonic time crystals