Abstract

Coupling from tapered fibers and polished half-block couplers into the high-Q whispering gallery modes of microsphere resonators is investigated analytically. Numerous formulas are derived to predict the external coupling Q values, and intrinsic whispering gallery loss, for arbitrary structures, and for any sphere mode. Phase-mismatch due to the differences in propagation constants between input and sphere modes is taken into account. These formulas are strictly mechanical once a simple characteristic equation is solved which relates the spherical mode orders to the resonant wave vector. Results are in very good agreement with values that are calculated by different numerical methods.

[IEEE ]

PDF Article

References

  • View by:
  • |

  1. M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, "Ultimate Q of optical microsphere resonators," Opt. Lett., vol. 21, pp. 453-455, 1996.
  2. D. W. Vernooy, V.S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, "High-Q measurements of fused-silica microspheres in the infrared," Opt. Lett., vol. 23, pp. 247-249, 1998.
  3. J. C. Knight, N. Dubreuil, V. Sandoghdar, J. Hare, V. Lefevre-Seguin, J. M. Raimond, and S. Haroche, "Mapping whispering-gallery modes in microspheres with a near-field probe," Opt. Lett., vol. 20, pp. 1515-1517, 1995.
  4. N. Dubreuil, J. C. Knight, D. K. Leventhal, V. Sandoghdar, J. Hare, and V. Lefevre, "Eroded monomode optical fiber for whispering-gallery mode excitation in fused-silica microspheres," Opt. Lett., vol. 20, pp. 813-815, 1995.
  5. A. Serpenguzel, S. Arnold, and G. Griffel, "Excitation of resonances of microspheres on an optical fiber," Opt. Lett., vol. 20, pp. 654-656, 1995.
  6. J. C. Knight, G. Cheung, F. Jacques, and T. A. Birks, "Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper," Opt. Lett., vol. 22, pp. 1129-1131, 1997.
  7. G. Griffel, S. Arnold, D. Taskent, A. Serpenguzel, J. Connolly, and N. Morris, "Morphology-dependent resonances of a microsphere-optical fiber system," Opt. Lett., vol. 21, pp. 695-697, 1996.
  8. F. Treussart, J. Hare, L. Collot, V. Lefevre, D. S. Weiss, V. Sandoghdar, J. M. Raimond, and S. Haroche "Quantized atom-field force at the surface of a microsphere," Opt. Lett., vol. 19, pp. 1651-1653, 1994.
  9. S. Arnold, C. T. Liu, W. B. Whitten, and J. M. Ramsey, "Room-temperature microparticle-based persistent spectral hole burning memory," Opt. Lett., vol. 16, pp. 420-422, 1991.
  10. B. E. Little, S. T. Chu, and H. A. Haus, "Track-changing using the phase response of microspheres and resonators," Opt. Lett., vol. 23, pp. 894-896, 1998.
  11. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Micro-ring resonator channel dropping filters," J. Lightwave Technol., vol. 15, pp. 998-1005, 1997.
  12. B. E. Little and S. T. Chu, "Estimating surface roughness loss and output coupling in microdisk resonators," Opt. Lett., vol. 12, pp. 1390-1392, 1996.

J. Lightwave Technol. (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Micro-ring resonator channel dropping filters," J. Lightwave Technol., vol. 15, pp. 998-1005, 1997.

Opt. Lett. (11)

B. E. Little and S. T. Chu, "Estimating surface roughness loss and output coupling in microdisk resonators," Opt. Lett., vol. 12, pp. 1390-1392, 1996.

M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, "Ultimate Q of optical microsphere resonators," Opt. Lett., vol. 21, pp. 453-455, 1996.

D. W. Vernooy, V.S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, "High-Q measurements of fused-silica microspheres in the infrared," Opt. Lett., vol. 23, pp. 247-249, 1998.

J. C. Knight, N. Dubreuil, V. Sandoghdar, J. Hare, V. Lefevre-Seguin, J. M. Raimond, and S. Haroche, "Mapping whispering-gallery modes in microspheres with a near-field probe," Opt. Lett., vol. 20, pp. 1515-1517, 1995.

N. Dubreuil, J. C. Knight, D. K. Leventhal, V. Sandoghdar, J. Hare, and V. Lefevre, "Eroded monomode optical fiber for whispering-gallery mode excitation in fused-silica microspheres," Opt. Lett., vol. 20, pp. 813-815, 1995.

A. Serpenguzel, S. Arnold, and G. Griffel, "Excitation of resonances of microspheres on an optical fiber," Opt. Lett., vol. 20, pp. 654-656, 1995.

J. C. Knight, G. Cheung, F. Jacques, and T. A. Birks, "Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper," Opt. Lett., vol. 22, pp. 1129-1131, 1997.

G. Griffel, S. Arnold, D. Taskent, A. Serpenguzel, J. Connolly, and N. Morris, "Morphology-dependent resonances of a microsphere-optical fiber system," Opt. Lett., vol. 21, pp. 695-697, 1996.

F. Treussart, J. Hare, L. Collot, V. Lefevre, D. S. Weiss, V. Sandoghdar, J. M. Raimond, and S. Haroche "Quantized atom-field force at the surface of a microsphere," Opt. Lett., vol. 19, pp. 1651-1653, 1994.

S. Arnold, C. T. Liu, W. B. Whitten, and J. M. Ramsey, "Room-temperature microparticle-based persistent spectral hole burning memory," Opt. Lett., vol. 16, pp. 420-422, 1991.

B. E. Little, S. T. Chu, and H. A. Haus, "Track-changing using the phase response of microspheres and resonators," Opt. Lett., vol. 23, pp. 894-896, 1998.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.