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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 3, Iss. 1 — Jul. 6, 1998
  • pp: 4–11

Channel drop filters in photonic crystals

Shanhui Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus  »View Author Affiliations


Optics Express, Vol. 3, Issue 1, pp. 4-11 (1998)
http://dx.doi.org/10.1364/OE.3.000004


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Abstract

We present a general analysis of channel drop filter structures composed of two waveguides and an optical resonator system. We show that 100% transfer between the two waveguides can occur by creating resonant states of different symmetry, and by forcing an accidental degeneracy between them. The degeneracy must exist in both the real and imaginary parts of the frequency. Based on the analysis we present novel photonic crystal channel drop filters. Numerical simulations demonstrate that these filters exhibit ideal transfer characteristics.

© Optical Society of America

OCIS Codes
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
(230.3990) Optical devices : Micro-optical devices

ToC Category:
Focus Issue: Photonic crystals

History
Original Manuscript: February 2, 1998
Revised Manuscript: April 28, 1998
Published: July 6, 1998

Citation
Shanhui Fan, Pierre Villeneuve, John Joannopoulos, and Hermann Haus, "Channel drop filters in photonic crystals," Opt. Express 3, 4-11 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-3-1-4


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References

  1. R. Adar, C. H. Henry, C. Dragone, R. C. Kistler, and M. A. Milbrodt, OBroad-band array multiplexers made with silica waveguides on silicon,O J. Lightwave Technol. 11, 212 (1993). [CrossRef]
  2. H. A. Haus and Y. Lai, ONarrow-band optical channel-dropping filter,O J. Lightwave Technol. 10, 57 (1992). [CrossRef]
  3. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J. -P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998 (1997). [CrossRef]
  4. B. E. Little, S. T. Chu, and H. A. Haus, "Estimated surface roughness loss and output coupling in microdisk resonators," Opt. Lett. 21, 1390 (1996). [CrossRef] [PubMed]
  5. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability and coupling efficiency," Phys. Rev. B 54, 7837 (1996). [CrossRef]
  6. S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical investigation of fabrication-related disorder on the properties of photonic crystals," J. Appl. Phys. 78, 1415 (1995). [CrossRef]
  7. S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960 (1998). [CrossRef]
  8. S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus (unpublished).
  9. For a review, see K. S. Kunz and R. J. Luebbers, The finite-difference time-domain methods (CRC Press, Boca Raton, 1993).
  10. J. C. Chen and K. Li, "Quartic perfectly matched layers for dielectric waveguides and gratings," Microw. Opt. Technol. Lett. 10, 319 (1995). [CrossRef]

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