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Zero-n gap soliton.

Ravi S Hegde1, Herbert G Winful

  • 1Department of Electrical Engineering and Computer Science, University of Michigan, 1301 Beal Avenue, Ann Arbor, Michigan 48109-2122, USA. rhegde@umich.edu

Optics Letters
|August 12, 2005
PubMed
Summary
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Periodic structures with a zero average refractive index exhibit a unique bandgap. This gap can transition to a transmitting state via Kerr nonlinearity, creating an omnidirectional nonlinear resonance or gap soliton.

Area of Science:

  • Photonics and Metamaterials
  • Nonlinear Optics

Background:

  • Periodic structures with alternating positive-index and negative-index materials exhibit unique optical properties.
  • A novel bandgap arises at the frequency where the average refractive index (n) of the structure is zero.

Purpose of the Study:

  • To investigate the influence of Kerr nonlinearity on the zero-n bandgap.
  • To demonstrate the formation of nonlinear optical phenomena within this unique bandgap.

Main Methods:

  • Theoretical analysis of periodic structures with Kerr nonlinearity.
  • Modeling the transmission properties across the zero-n bandgap.

Main Results:

  • The zero-n bandgap can switch from low transmission to perfect transmission under Kerr nonlinearity.

Related Experiment Videos

  • This transition forms a nonlinear resonance, specifically a gap soliton.
  • The observed zero-n gap soliton is omnidirectional.

    • Conclusions:

    • Kerr nonlinearity enables tunable transmission through the zero-n bandgap.
    • Omnidirectional gap solitons can be formed in zero-average-index periodic structures.
    • This offers a distinct mechanism compared to traditional Bragg gap solitons.