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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 7 — Mar. 31, 2008
  • pp: 4972–4980

Ultra high-Q photonic crystal nanocavity design: The effect of a low-ε slab material

Igal Bayn and Joseph Salzman  »View Author Affiliations


Optics Express, Vol. 16, Issue 7, pp. 4972-4980 (2008)
http://dx.doi.org/10.1364/OE.16.004972


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Abstract

We analyze the influence of the dielectric constant of the slab on the quality factor (Q) in slab photonic crystal cavities with a minimized vertical losses model. The higher value of Q in high-ε cavity is attributed to the lower mode frequency. The Q ratio in a high-ε (silicon) vs. low-ε (diamond) slab is examined as a function of mode volume (Vm ). The mode volume compensation technique is discussed. Finally, diamond cavity design is addressed. The analytical results are compared to 3D FDTD calculations. In a double heterostructure design, a Q2.6×105 is obtained. The highest Q≈1.3×106 with Vm =1.77×(λ/n)3 in a local width modulation design is derived.

© 2008 Optical Society of America

OCIS Codes
(230.5750) Optical devices : Resonators
(230.5298) Optical devices : Photonic crystals
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Photonic Crystals

History
Original Manuscript: February 5, 2008
Revised Manuscript: March 16, 2008
Manuscript Accepted: March 16, 2008
Published: March 27, 2008

Citation
Igal Bayn and Joseph Salzman, "Ultra high-Q photonic crystal nanocavity design: The effect of a low-ε slab material," Opt. Express 16, 4972-4980 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-7-4972


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References

  1. S. Tomljenovic-Hanic, M. J. Steel, C. M. de Sterke, and J. Salzman, "Diamond Based Photonic Crystal Microcavities," 11th Micro-optics Conference (MOC’05), Tokyo, Oct 30- Nov 2, 2005.
  2. A. D. Greentre, J. Salzman, S. Prawer, and L. C. Hollenberg, "Quantum gate for Q-switching photonic band-gap cavities containing two level atoms" Phys. Rev. A 73, 013818 (2006). [CrossRef]
  3. S. Tomljenovic-Hanic, M. J. Steel, C. M. de Sterke, and J. Salzman, "Diamond based photonic crystal microcavities," Opt. Express 14, 3556 (2006). [CrossRef] [PubMed]
  4. I. Bayn and J. Salzman, "High-Q photonic crystal nanocavities on diamond for Quantum Electrodynamics," Eur. Phys. J. Appl. Phys. 37, 19-24 (2007). [CrossRef]
  5. C. F. Wang, R. Hanson, D. D. Awschalom, E. L. Hu, T. Feygelson, J. Yang, and J. E. Butler, "Fabrication and characterization of two-dimensional photonic crystal microcavities in nanocrystalline diamond," Appl. Phys. Lett. 91, 201112 (2007). [CrossRef]
  6. C. Kreuzer, J. Riedrich-Möller, E. Neu, and C. Becher, "Design of Photonic Crystal Microcavities in Diamond Films," Opt. Express 16, 1632-1644 (2008). [CrossRef] [PubMed]
  7. B. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double heterostructure nanocavity," Nat. Mater. 4, 207 (2005). [CrossRef]
  8. D. Englund, I. Fushman, and J. Vuckovic, "General recipe for designing photonic crystal cavities," Opt. Express 12, 5961 (2005). [CrossRef]
  9. E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe, and T. Watanabe, "Ultrahigh-Q photonic crystal nanocavities realized by the local width modulation of a line defect," Appl. Phys. Lett. 88, 041112 (2006). [CrossRef]
  10. J. Salzman, "Photonic Crystals in Diamond for Quantum Information Technology," PIERS Proceedings, 1331-1334, March 26-30, Beijing, China, 2007.
  11. I. Bayn, B. Meyler, A. Lahav, J. Salzman, P. Olivero, B. Fairchild, and S. Prawer, "First photonic crystal devices on single crystal diamond," Ib-2, IMEC-13, 9-10 on December, Haifa Israel.
  12. In the waveguide based cavities, the number of PC periods required for a similar Ql in slabs of different ε’s is different in the x and z directions (different confinement mechanism). Qualitatively, a diamond-based PC will reach a Ql similar to that of Si with 1.5-2 times more PC periods than that of a Si-based PC, In the x - z direction, respectively.
  13. These calculations are based on the characteristic mode frequencies and widths of DH cavities with refractive index n.
  14. M. Qiu, "Micro-cavities in silicon-on-insulator photonic crystal slabs: determing resonant frequencies and quality factor accurately," Microwave Opt. Technol. Lett. 45, 381-385 (2005). [CrossRef]
  15. D. Englund and J Vuckovic, "A direct analysis of photonic nanostructures," Opt. Express 14, 3472 (2006). [CrossRef] [PubMed]
  16. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016, 608 (2002).

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