OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 22 — Nov. 1, 2004
  • pp: 5518–5525

Highly efficient photonic crystal-based multichannel drop filters of three-port system with reflection feedback

Sangin Kim, Ikmo Park, Hanjo Lim, and Chul-Sik Kee  »View Author Affiliations

Optics Express, Vol. 12, Issue 22, pp. 5518-5525 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (158 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have derived the general condition to achieve 100% drop efficiency in the resonant tunneling-based channel drop filters of a three-port system with reflection feedback. According to our theoretical modeling based on the coupled mode theory in time, the condition is that the Q-factor due to coupling to a bus port should be twice as large as the Q-factor due to coupling to a drop port and the phase retardation occurring in the round trip between a resonator and a reflector should be a multiple of 2π. The theoretical modeling also shows that the reflection feedback in the three-port channel drop filters brings about relaxed sensitivity to the design parameters, such as the ratio between those two Q-factors and the phase retardation in the reflection path. Based on the theoretical modeling, a five-channel drop filter has been designed in a two-dimensional photonic crystal, in which only a single reflector is placed at the end of the bus waveguide. The performance of the designed filter has been numerically calculated using the finite-difference time domain method. In the designed filter, drop efficiencies larger than 96% in all channels have been achieved.

© 2004 Optical Society of America

OCIS Codes
(130.1750) Integrated optics : Components
(230.3120) Optical devices : Integrated optics devices

ToC Category:
Research Papers

Original Manuscript: August 27, 2004
Revised Manuscript: October 22, 2004
Published: November 1, 2004

Sangin Kim, Ikmo Park, Hanjo Lim, and Chul-Sik Kee, "Highly efficient photonic crystal-based multichannel drop filters of three-port system with reflection feedback," Opt. Express 12, 5518-5525 (2004)

Sort:  Journal  |  Reset  


  1. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, �??Channel drop filters in photonic crystals,�?? Opt. Express 3, 4-11, (1998). [CrossRef] [PubMed]
  2. B.-K. Min, J.-E. Kim, and H. Y. Park, �??Channel drop filters using resonant tunneling processes in twodimensional triangular lattice photonic crystal slabs,�?? Opt. Commun. 237, 59-63, (2004 [CrossRef]
  3. S.Noda, A.Chutinan, and M.Imada, �??Trapping and emission of photons by a single defect in a photonic bandgap structure,�?? Nature 407, 608-610, (2000). [CrossRef] [PubMed]
  4. C-S. Kee, D-H. Cho, J-H. Jung, I. Park, H. Lim, S.-G. Lee, and H. Han, �??Photonic crystal multi-channel add/drop filters,�?? in Abstract book of MRS 2003 Spring meeting, (San Francisco, Calif., 2003) , pp. 64.
  5. A. Shinya, M. Notomi, S. Mitsugi, E. Kuramochi, T. Kawabata, S. Kondo, T. Watanabe, and T. Tsuchizawa, �??Photonic crystal devices combining width tuned waveguides and cavities,�?? in Technical Digest of International Symposium on Photonic and Electronic Crystal Structures V, (Kyoto, Japan, 2004), pp. 201.
  6. B. S. Song, S. Noda, and T. Asano, �??Photonic devices based on in-plane hetero photonic crystals,�?? Science 300, 1537-1542, (2003). [CrossRef] [PubMed]
  7. S. Noda, B. S. Song, Y. Akahane, and T. Asano, �??In-plane hetero photonic crystals,�?? in Technical Digest of International Symposium on Photonic and Electronic Crystal Structures V, (Kyoto, Japan, 2004), pp. 86.
  8. C. Jin, S. Fan, S. Han, and D. Zhang, �??Reflectionless multichannel wavelength demultiplexer in a transmission resonator configuration,�?? J. Quantum Electron. 39, 160-165 (2003). [CrossRef]
  9. H. A. Haus, Waves and Field in Optoelectronics (Englewood Cliffs, NJ: Prentice-Hall, 1984), Chap 7.
  10. H. A. Haus and Y. Lai, �??Theory of cascaded quarter wave shifted distributed feedback resonators,�?? J. Quantum Electron. 28, 205-213 (1992 [CrossRef]
  11. J. D. Joannopoulos, R. D. Meade, and I. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
  12. M. Koshiba, Y. Tsuji, and S. Sasaki, �??High-performance absorbing boundary conditions for photonic crystal waveguide simulations,�?? IEEE Microwave and Wireless Components Lett. 11, 152-154, (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited