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Time-Domain Bound States in the Continuum
Oded Schiller1,2, Yonatan Plotnik2, Ohad Segal1,2
1Technion, Department of Electrical and Computer Engineering, Haifa 32000, Israel.
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.
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