OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 8 — Apr. 16, 2007
  • pp: 4452–4473

Generalized formulation for performance degradations due to bending and edge scattering loss in microdisk resonators

J. E. Heebner, T. C. Bond, and J. S. Kallman  »View Author Affiliations

Optics Express, Vol. 15, Issue 8, pp. 4452-4473 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (326 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a generalized formulation for the treatment of both bending (whispering gallery) loss and scattering loss due to edge roughness in microdisk resonators. The results are applicable to microrings and related geometries. For thin disks with radii greater than the bend-loss limit, we find that the finesse limited by the scattering losses induced by edge roughness is independent of radii. While a strong lateral refractive index contrast is necessary to prevent bending losses, unless the radii are of the order of a few microns, lateral air-cladding is detrimental and only enhances scattering losses. The generalized formulation provides a framework for selecting the refractive index contrast that optimizes the finesse at a given radius.

© 2007 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.5750) Optical devices : Resonators
(230.7370) Optical devices : Waveguides

ToC Category:
Integrated Optics

Original Manuscript: January 29, 2007
Revised Manuscript: March 8, 2007
Manuscript Accepted: March 9, 2007
Published: April 3, 2007

John E. Heebner, Tiziana C. Bond, and Jeff S. Kallman, "Generalized formulation for performance degradations due to bending and edge scattering loss in microdisk resonators," Opt. Express 15, 4452-4473 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. K. Tien, "Light waves in thin films and integrated optics," Appl. Opt. 10, 23952419, (1971). [CrossRef]
  2. R. J. Deri and E. Kapon, "Low-Loss III-V Semiconductor Optical Waveguides." IEEE J. Quantum Electron.,  27, 626-640, (1991). [CrossRef]
  3. V. Van, P. P. Absil, J. V. Hryniewicz, P. T. Ho, "Propagation loss in single-mode GaAs-AlGaAs microring resonators: measurement and model," J. Lightwave Technol. 19, 1734-1739, (2001). [CrossRef]
  4. M. Kuznetsov and H. A. Haus, "Radiation loss in dielectric waveguide structures by the volume current method," IEEE. J. Quantum Electron. QE-19, 1505-1514, (1983). [CrossRef]
  5. B. E. Little and S. T. Chu, "Estimating surface-roughness loss and output coupling in microdisk resonators," Opt. Lett. 21, 1390-1392, (1996). [CrossRef] [PubMed]
  6. B. E. Little, J. P. Laine, and S. T. Chu, "Surface-roughness-induced contradirectional coupling in ring and disk resonators," Opt. Lett. 22, 4-6, (1997). [CrossRef] [PubMed]
  7. M. Borselli, K. Srinivasan, P. E. Barclay, and O. Painter, "Rayleigh scattering, mode coupling, and optical loss in silicon microdisks," Appl Phys Lett. 85, 3693-3695, (2004). [CrossRef]
  8. M. Borselli, T. J. Johnson, and O. Painter, "Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment," Opt. Express 13, 1515-1530, (2005). [CrossRef] [PubMed]
  9. P. Rabiei, "Calculation of Losses in Micro-Ring Resonators With Arbitrary Refractive Index or Shape Profile and Its Applications," J. Lightwave Technol. 23, 1295-1301, (2005). [CrossRef]
  10. H. Kogelnik and V. Ramaswamy, "Scaling rules for thin-film optical waveguides," Appl. Opt. 13, pp. 1857-1862, (1974). [CrossRef] [PubMed]
  11. J. E. Heebner, R. W. Boyd, and Q. Park, "SCISSOR Solitons & other propagation effects in microresonator modified waveguides," J. Opt. Soc. Am. B. 19, 722-731, (2002). [CrossRef]
  12. S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, "Pertubation theory for Maxwell’s equations with shifting material boundaries," Phys Rev E. 65, 066611, (2002). [CrossRef]
  13. S. G. Johnson, M. L. Povinelli, M. Soljacic, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl Phys B. 81, 283-293, (2005). [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