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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.

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|January 29, 2025
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Summary
This summary is machine-generated.

Researchers demonstrate time-domain bound states in the continuum using temporal modulation of refractive index. This opens new possibilities for light-matter interactions in dynamic optical media.

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Area of Science:

  • Optics and Photonics
  • Wave Phenomena
  • Metamaterials

Background:

  • Bound states in the continuum (BICs) are typically spatial phenomena where localized states exist within a radiating continuum.
  • Wave phenomena are traditionally studied in the spatial domain, limiting exploration in time-varying systems.

Purpose of the Study:

  • To introduce and theoretically demonstrate the concept of time-domain bound states in the continuum (TD-BICs).
  • To explore the extension of spatial wave phenomena into the temporal domain.
  • To investigate novel light-matter interactions in time-varying media.

Main Methods:

  • Developing a theoretical framework for TD-BICs based on temporal modulation of refractive index.
  • Deriving closed-form solutions to Maxwell's equations in time and one-dimensional space.
  • Analyzing the emergence of bound states embedded within a continuum of wave numbers.

Main Results:

  • A judiciously designed, rapid temporal modulation of refractive index in a homogeneous medium creates a bound state in time.
  • These TD-BICs are mathematically described as exact solutions to the governing wave equations.
  • The findings establish a direct analogy between spatial BICs and the proposed temporal counterparts.

Conclusions:

  • The concept of TD-BICs is theoretically validated, extending BIC phenomena to the temporal domain.
  • This work provides a new paradigm for manipulating wave propagation and light-matter interactions.
  • Future research can explore experimental realizations and applications in dynamic optical systems.