Time-Domain Bound States in the Continuum
Oded Schiller, Yonatan Plotnik, Ohad Segal, Mark Lyubarov, Mordechai Segev
Abstract
We present the concept of time-domain bound states in continuum. We show that a rapid judiciously designed temporal modulation of the refractive index in a spatially homogenous medium gives rise to a bound state in time, embedded in a continuum of wave numbers. Mathematically, these bound states in the continuum are closed form solutions of the Maxwell equations in time and one-dimensional space. Our results show the potential to extend known wave phenomena in space to the temporal domain, providing new avenues for light-matter interactions in time-varying media.
Topics & Concepts
Bound statePhysicsDomain (mathematical analysis)Quantum mechanicsTheoretical physicsClassical mechanicsMathematicsMathematical analysisPhotorefractive and Nonlinear OpticsMechanical and Optical ResonatorsQuantum optics and atomic interactions