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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 7336–7343

Coupled whispering gallery mode resonators in the Terahertz frequency range

S. Preu, H. G. L. Schwefel, S. Malzer, G. H. Döhler, L. J. Wang, M. Hanson, J. D. Zimmerman, and A. C. Gossard  »View Author Affiliations


Optics Express, Vol. 16, Issue 10, pp. 7336-7343 (2008)
http://dx.doi.org/10.1364/OE.16.007336


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Abstract

We report on coupling of two whispering gallery mode resonators in the Terahertz frequency range. Due to the long wavelength in the millimeter to submillimeter range, the resonators can be macroscopic allowing for accurate size and shape control. This is necessary to couple specific modes of two or more resonators. Sets of polyethylene (PE) and quartz disk resonators are demonstrated, with medium (loaded) quality (Q)-factors of 40-800. Both exhibit coinciding resonance frequency spectra over more than ten times the free spectral range. Loading effects of single resonators are investigated which provide strong Q-factor degradation and red-shifts of the resonances in the 0.2% range. By coupling two resonators of the same size, we observe mode splitting, in very good agreement with our numerical calculations.

© 2008 Optical Society of America

OCIS Codes
(230.5750) Optical devices : Resonators
(140.3325) Lasers and laser optics : Laser coupling
(140.3945) Lasers and laser optics : Microcavities

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: February 29, 2008
Revised Manuscript: April 25, 2008
Manuscript Accepted: April 25, 2008
Published: May 6, 2008

Citation
S. Preu, H. G. L. Schwefel, S. Malzer, G. H. Döhler, L. J. Wang, M. Hanson, J. D. Zimmerman, and A. C. Gossard, "Coupled whispering gallery mode resonators in the Terahertz frequency range," Opt. Express 16, 7336-7343 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-10-7336


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References

  1. R. K. Chang and A. K. Campillo, eds., Optical Processes in Microcavities (World Scientific, Singapore, 1996). [CrossRef]
  2. A. Matsko and V. Ilchenko, "Optical resonators with whispering-gallery modes-part I: basics," IEEE J. Sel. Top. Quantum Electron. 12, 3-14 (2006). [CrossRef]
  3. V. Ilchenko and A. Matsko, "Optical resonators with whispering-gallery modes-part II: applications," IEEE J. Sel. Top. Quantum Electron. 12, 15-32 (2006). [CrossRef]
  4. K. J. Vahala, "Optical microcavities," Nature 424, 839-846 (2003). [CrossRef] [PubMed]
  5. L. Rayleigh, The problem of the whispering gallery (Cambridge University, Cambridge, UK, 1912), pp. 617-620.
  6. J. R. Wait, "Electromagnetic whispering gallery modes in a dielectric rod," Radio Sci. 2, 1005 (1967).
  7. X. H. Jiao, P. Guillon, L. A. Bermudez, and P. Auxemery, "Whispering-gallery modes of dielectric structures: Applications to millimeter-wave bandstop filters," IEEE Trans. Microwave Theory Tech. 35, 1169-1175 (1987). [CrossRef]
  8. I. Chremmos and N. Uzunoglu, "Reflective properties of double-ring resonator system coupled to a waveguide," IEEE Photon. Technol. Lett. 17, 2110-2112 (2005). [CrossRef]
  9. D. Cross and P. Guillon, "Whispering gallery dielectric resonator modes for W-band-devices," IEEE Trans. Microwave Theory Tech. 38, 1667-1673 (1990). [CrossRef]
  10. G. Annino, M. Cassettari, I. Longo, and M. Martinelli, "Whispering gallery modes in a dielectric resonator: Characterization at millimeter wavelength," IEEE Trans. Microwave Theory Tech. 45, 2025 (1997). [CrossRef]
  11. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999). [CrossRef]
  12. K. Pance, L. Viola, and S. Sridhar, "Tunneling proximity resonances: interplay between symmetry and dissipation," Phys. Lett. A 268, 399-405 (2000). [CrossRef]
  13. D. D. Smith, H. Chang, and K. A. Fuller, "Whispering-gallery mode splitting in coupled microresonators," J. Opt. Soc. Am. B 20, 1967-1974 (2003). [CrossRef]
  14. S. V. Boriskina, "Theoretical prediction of a dramatic Q-factor enhancement and degeneracy removal of whispering gallery modes in symmetrical photonic molecules," Opt. Lett. 31, 338-340 (2006). [CrossRef] [PubMed]
  15. K. A. Fuller, "Optical resonances and two-sphere systems," Appl. Opt. 30, 4716 (1991). [CrossRef] [PubMed]
  16. L. I. Deych, C. Schmidt, T. Pertsch, and A. Tunnermann, "Coupling of the fundamental whispering gallery mode in bi-spheres," IEEE ICTON 2007 (79-82).
  17. M. Bayer, T. Gutbrod, J. O. Reithmaier, A. Forchel, T. L. Reinecke, P. A. Knipp, A. A. Dremin, and V. D. Kulakovskii, "Optical modes in photonic molecules," Phys. Rev. Lett. 81, 2582 (1998). [CrossRef]
  18. M. L. Povinelli, S. G. Johnson, M. Lonear, M. Ibanescu, E. J. Smythe, F. Capasso, J. D. Joannopoulos, "High-Q enhancement of attractive and repulsive optical forces between coupled whispering gallery mode resonators," Opt. Express 13, 8286-8295 (2005) [CrossRef] [PubMed]
  19. S. P. Ashili, V. N. Astratov, and E. C. H. Sykes, "The effects of inter-cavity separation on optical coupling in dielectric bispheres," Opt. Express 14, 9460-9466 (2006). [CrossRef] [PubMed]
  20. A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71, 043804 (2005). [CrossRef]
  21. M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008). [CrossRef]
  22. T. Mukaiyama, K. Takeda, H. Miyazaki, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623 (1999). [CrossRef]
  23. H. E. Tureci, H. G. L. Schwefel, P. Jacquod, and A. D. Stone, "Modes of wave-chaotic dielectric resonators," Prog. Opt. 47, 75-137 (2005). [CrossRef]
  24. K. Lo, R. McPhedran, I. Bassett, and G. Milton, "An electromagnetic theory of dielectric waveguides with multiple embedded cylinders," J. Lightwave Technol. 12, 396-410 (1994). [CrossRef]
  25. T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002). [CrossRef]
  26. A. B. Movchan, N. Movchan, and C. G. Poulton, Asymptotics of dilute and densely packed composites (Imperial College Press, London, 2002). [CrossRef]
  27. H. E. Tureci and H. G. L. Schwefel, "An efficient Fredholm method for the calculation of highly excited states of billiards," J. Phys. A 40, 13869-13882 (2007). [CrossRef]
  28. H. G. L. Schwefel, C. G. Poulton, and L. J. Wang, "Numerically efficient multipole method for photonic molecules," in preparation (2008).
  29. G. H. Dohler, F. Renner, O. Klar, M. Eckardt, A. Schwanhau�?er, S. Malzer, D. Driscoll, M. Hanson, A. Gossard, G. Loata, T. Loffler, and H. Roskos, "THz-photomixer based on quasi-ballisitc transport," Semicond. Sci. Technol. 20, 178 (2005). [CrossRef]
  30. S. Preu, F. H. Renner, S. Malzer, G. H. D¨ohler, L. J. Wang, M. Hanson, A. C. Gossard, T. L. J. Wilkinson, and E. R. Brown, "Efficient Terahertz emission from ballistic transport enhanced n-i-p-n-i-p superlattice photomixers," Appl. Phys. Lett. 90, 212115 (2007). [CrossRef]
  31. T. Carmon, S. Y. T. Wang, E. P. Ostby, and K. J. Vahala, "Wavelength-independent coupler from fiber to an on-chip cavity, demonstrated over an 850nm span," Opt. Express 15, 7677-7681 (2007). [CrossRef] [PubMed]
  32. M. L. Gorodetsky and V. S. Ilchenko, "Optical microsphere resonators: optimal coupling to high-Q whisperinggallery modes," J. Opt. Soc. Am. B 16, 147-154 (1999). [CrossRef]
  33. A. Morand, K. Phan-Huy, Y. Desieres, and P. Benech, "Analytical study of the microdisk�??s resonant modes coupling with a waveguide based on perturbation theory," J. Lightwave Technol. 22, 827-832 (2004). [CrossRef]
  34. MicroTech, Terahertz resources. http://www.mtinstruments.com/thzresources/.

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