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Slow-Light Effect in Dual-Periodic Photonic Lattice
Journal of the Optical Society of America B: Optical Physics
  • Alexey Yamilov, Missouri University of Science and Technology
  • Mark R. Herrera
  • Massimo F. Bertino, Missouri University of Science and Technology
We present analytical and numerical studies of a photonic lattice with short- and long-range harmonic modulations of the refractive index. Such structures can be prepared experimentally with holographic photolithography. In the spectral region of the photonic bandgap of the underlying single-periodic crystal, we observe a series of bands with anomalously small dispersion. The related slow-light effect is attributed to the long-range modulation of the photonic lattice that leads to formation of an array of evanescently coupled high-Q cavities. The band structure of the lattice is studied with several techniques: (i) transfer matrix approach; (ii) an analysis of resonant coupling in the process of band folding; (iii) effective-medium approach based on coupled-mode theory; and (iv) the Bogolyubov-Mitropolsky approach. The latter method, commonly used in the studies of nonlinear oscillators, was employed to investigate the behavior of eigenfunction envelopes and the band structure of the dual-periodic photonic lattice. We show that reliable results can be obtained even in the case of large refractive index modulation.
University of Missouri--Rolla. Opportunities for Undergraduate Research Experience
Keywords and Phrases
  • Effective Medium Approach,
  • Light Refraction,
  • Periodic Structures,
  • Photonic Band Gaps,
  • Photonic Lattices,
  • Photonics
Document Type
Article - Journal
Document Version
File Type
© 2008 Optical Society of America, All rights reserved.
Publication Date
Citation Information
Alexey Yamilov, Mark R. Herrera and Massimo F. Bertino. "Slow-Light Effect in Dual-Periodic Photonic Lattice" Journal of the Optical Society of America B: Optical Physics (2008)
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