2011-05-18
Analytical Modeling of Quality Factor for Shell Type Microsphere Resonators
By
Progress In Electromagnetics Research B, Vol. 30, 293-311, 2011
Abstract
In this paper, we have proposed a shell type dielectric microsphere resonator in order to enhance its quality factor. In this work we have assumed that the radius of dielectric microsphere is 12 μm and that the interior metal layer radius is 11.5 μm. We have obtained analytic equations for Vector potentials, characteristic equation, quality factor, resonance frequency and resonance location of TE modes. We have plotted these characteristics by MATLAB software and compared them with the normal microsphere characteristics.
Citation
R. Talebi, Karim Abbasian, and Ali Rostami, "Analytical Modeling of Quality Factor for Shell Type Microsphere Resonators," Progress In Electromagnetics Research B, Vol. 30, 293-311, 2011.
doi:10.2528/PIERB11040303
References

1. Vernooy, D. W., V. S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, "High-Q measurements of fused-silica microspheres in the near infrared," Optics Letters, Vol. 23, No. 4, , 247-249, Feb. 1998.
doi:10.1364/OL.23.000247        Google Scholar

2. Fan, X., M. C. Lonergan, Y. Zhang, and H. Wang, "Enhanced spontaneous emission from semiconductor nanocrystals embedded in whispering gallery optical microcavities," Phys. Rev. B, Vol. 64, 115310, 2001.
doi:10.1103/PhysRevB.64.115310        Google Scholar

3. Fan, X., S. Lacey, P. Palingilins, H. Wang, and M. C. Lonergan, "Coupling semiconductor nanocrystals to fused silica microspheres: A quantum-dot microcavity with extremely high Q-factor," Optics Letters, Vol. 25, 1600, 2000.
doi:10.1364/OL.25.001600        Google Scholar

4. Cai, M., G. Hunziker, and K. J. Vahala, "Fiber-optic add-drop device based on a silica microsphere-whispering gallery mode system," IEEE Photonics Technology Letters, Vol. 11, 686, 1999.        Google Scholar

5. Rosenbeger, A. T. and J. P. Rezac, "Whispering-gallerymode evanescent-wave microsensor for trace-gasdetection," Proc. SPIE, Vol. 4265, 102-112, 2001.
doi:10.1117/12.427962        Google Scholar

6. Arnold, S., M. Khoshisma, I. Teraoka, S. Holler, and F. Vollmer, "Shift of whispering-gallery modes in microspheres by protein adsorption," Optics Letters, Vol. 28, 272, 2003.
doi:10.1364/OL.28.000272        Google Scholar

7. Braginsky, V. B., M. L. Gorodetsky, and V. S. Ilchenko, "Quality-factor and nonlinear properties of optical whispering-gallery modes," Phys. Lett. A, Vol. 137, 393-397, 1989.
doi:10.1016/0375-9601(89)90912-2        Google Scholar

8. Strutt, J. W., The Theory of Sound, Dover Press, 1945.

9. Strutt, J., Theory of Sound (Teoriya Zvuka), Vol. 2, 1955.

10. Mie, G., "Beitrage zur optik truber Medien, speziell kolloidaler Metallosungen," Ann. Phys., Vol. 25, 377-445, 1908.
doi:10.1002/andp.19083300302        Google Scholar

11. Kerker, M., "The Scattering of light and other electromagnetic radiation," Academic, 1969.        Google Scholar

12. Spillane, S. M., Fiber-coupled ultra-high-Q microresonators for nonlinear and quantum optics, Doctor of Philosophy Thesis, May 2004.

13. Vernooy, D. W., V. S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, "High-Q measurements of fused-silica microspheres in the infrared," Optics Letters, Vol. 23, 247-249, 1998.
doi:10.1364/OL.23.000247        Google Scholar

14. Gorodetsky, M. L. and V. S. Ilchenko, "High-Q optical whisperinggallery microresonators: Precession approach for spherical mode analysis and emission patterns with prism couplers," Opt. Comm., Vol. 113, 133-143, 1994.
doi:10.1016/0030-4018(94)90603-3        Google Scholar

15. Collot, L., V.Lefevre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, "Very high-Q whispering-gallery mode resonances observed on fused-silica microspheres," Europhys. Lett., Vol. 23, No. 5, 327-334, Aug. 1993.
doi:10.1209/0295-5075/23/5/005        Google Scholar

16. Jackson, J. D., Classical Electrodynamics, 3rd Ed., John Wiley & Sons, Inc., 1999.

17. Little, B. E., J. P. Laine, and H. A. Haus, "Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators," Journal of Lightwave Technology, Vol. 17, No. 4, Apr. 1999.
doi:10.1109/50.754802        Google Scholar

18. Berneschi, S., Microlaser in rare earths doped glasses, Degree of Doctor of Philosophy Thesis, Anno Accademico.
doi:2005--2006

19. Collot, L., V. Lefevre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, "Very high-Q whispering-gallery mode resonances observed on fused silica microspheres," Europhys. Lett., Vol. 23, 327-334, 1993.
doi:10.1209/0295-5075/23/5/005        Google Scholar

20. Abramovitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Vol. 55, National Bureau of Standards Applied Mathematics Series, 1972.

21. Mine, E., A. Yamada, Y. Kobayashi, M. Konno, and L. M. Liz-Marzan, "Direct coating of gold nanoparticles with silica by a seeded polymerization technique," Journal of Colloid and Interface Science, Vol. 264, No. 2, 385-390, 2003.
doi:10.1016/S0021-9797(03)00422-3        Google Scholar

22. Graf, C., D. L. J. Vossen, A. Imhof, and A. V. Blaaderen, "A general method to coat colloidal particles with silica," Langmuir, Vol. 19, No. 17, 2003.
doi:10.1021/la0347859        Google Scholar

23. Yu, Y., G. Giuliani, and S. Donati, "Measurement of the linewidth enhancement factor of semiconductor lasers based on the optical feedback self-mixing effect," IEEE Photonics Technology Letters, Vol. 16, No. 4, 2004.
doi:10.1109/LPT.2004.824631        Google Scholar

24. Liu, T., Y. H. Wang, R. Ddumke, A. Stejskal, Y. N. Zhao, J. Zhang, Z. H. Lu, L. J. Wang, T. Becker, and H. Walther, "Narrow linewidth light source for an ultraviolet optical frequency standard," Appl. Phys. B, Vol. 87, 227-232, 2007.
doi:10.1007/s00340-007-2599-5        Google Scholar

25. Lam, C. C., P. T. Leumg, and K. Young, "Explicit asymptotic formulas for the positions, width and strength of resonances in the mie scattering," J. Opt. Soc. Am. B, Vol. 1585, 1992.        Google Scholar

26., Datsyuk and V. V., "Some characteristic of resonant electromagnetic modes in a dielectric sphere," Appl. Phys. B, Vol. 54, 184-187, 1992.        Google Scholar