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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 12 — Jun. 9, 2008
  • pp: 8342–8349

Mode competitions and dynamical frequency pulling in Mie nanolasers: 3D ab-initio Maxwell-Bloch computations

A. Fratalocchi, C. Conti, and G. Ruocco  »View Author Affiliations

Optics Express, Vol. 16, Issue 12, pp. 8342-8349 (2008)

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We investigate the process of light matter interaction in a spherical Mie nanolaser. We derive a rigorous theory based on a three dimensional vector set of Maxwell-Bloch equations and solve the resulting equations through a parallel Finite-Difference Time-Domain Maxwell-Bloch (FDTD-MB) code. Our results predicts a rich physical scenario, ranging from nontrivial vectorial energy matter interplay in the pre-lasing regime to mode competitions and dynamical frequency pulling phenomena. Application of these effects could favor the realization of largely-tunable, nonlinearly controlled nanolaser devices.

© 2008 Optical Society of America

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(020.2649) Atomic and molecular physics : Strong field laser physics

ToC Category:
Lasers and Laser Optics

Original Manuscript: February 1, 2008
Manuscript Accepted: March 31, 2008
Published: May 23, 2008

A. Fratalocchi, C. Conti, and G. Ruocco, "Mode competitions and dynamical frequency pulling in Mie nanolasers: 3D ab-initio Maxwell-Bloch computations," Opt. Express 16, 8342-8349 (2008)

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  1. G. Mie, "Beitrge zur Optik trber Medien, speziell kolloidaler Metallsungen," Ann. Phys. 330, 377-445 (1908). [CrossRef]
  2. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  3. M. Xu and R. R. Alfano, "Random Walk of Polarized Light in Turbid Media," Phys. Rev. Lett. 95, 213901-(4) (2005). [CrossRef] [PubMed]
  4. Y. Yamamoto, F. Tassone, and H. Cao, Semiconductor Cavity Quantum Electrodynamics (Springer, Berlin, 2000).
  5. H. Yukawa, S. Arnold, and K. Miyano, "Microcavity effect of dyes adsorbed on a levitated droplet," Phys. Rev. A 60, 2491-2496 (1999). [CrossRef]
  6. P. W. Barber and K. Chang, Optical Effects Associated with Small Particles (World Scientific, Singapore, 1988).
  7. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  8. P. J. Wyatt, "Scattering of Electromagnetic Plane Waves from Inhomogeneous Spherically Symmetric Objects," Phys. Rev. 127, 1837-1843 (1962). [CrossRef]
  9. A. Ashkin and J. M. Dziedzic, "Observation of Resonances in the Radiation Pressure on Dielectric Spheres," Phys. Rev. Lett. 38, 1351-1354 (1977). [CrossRef]
  10. L. Yang and K. J. Vahala, "Gain functionalization of silica microresonators," Opt. Lett. 28, 592-(3) (2003). [CrossRef] [PubMed]
  11. Y. Yamamoto and R. E. Slusher, "Optical processes in microcavities," Phys. Today 46, 66-73 (1993). [CrossRef]
  12. U. Vietze, O. Krau, F. Laeri, G. Ihlein, F. Schth, B. Limburg, and M. Abraham, "Zeolite-Dye Microlasers," Phys. Rev. Lett. 81, 4628-(4) (1998). [CrossRef]
  13. S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, "Ultralow-threshold Raman laser using a spherical dielectric microcavity," Nature 415, 621-(3) (2002). [CrossRef] [PubMed]
  14. V. Sandoghdar, F. Treussart, J. Hare, V. Lefvre-Seguin, and J. -M. Raimond, "Very low threshold whisperinggallery- mode microsphere laser," Phys. Rev. A 54, R1777-(4) (1996). [CrossRef] [PubMed]
  15. E. T. Jaynes and F. W. Cummings, "Comparison of Quantum and Semiclassical Radiation Theory with Application to the Beam Maser," Proc. IEEE. 51, 89-109 (1963). [CrossRef]
  16. G. W. Gardiner and P. Zoller, Quantum noise (Springer, Berlin, 2000).
  17. W. E. Lamb, "Theory of an Optical Maser," Phys. Rev. 134, A1429-A1450 (1964). [CrossRef]
  18. A. E. Siegman, Lasers (University Science Books, Sausalito, 1986).
  19. G. Slavcheva, J. Arnold, and R. Ziolkowski, "FDTD simulation of the nonlinear gain dynamics in active optical waveguides and semiconductor microcavities," IEEE J. Sel. Top. Quantum Electron. 10, 1052-1062 (2004). [CrossRef]
  20. G. Slavcheva, J. M. Arnold, I. Wallace, and R. W. Ziolkowski, "Coupled Maxwell-pseudospin equations for investigation of self-induced transparency effects in a degenerate three-level quantum system in two dimensions: Finite-difference time-domain study," Phys. Rev. A 66, 063418-(21) (2002). [CrossRef]
  21. B. Bid???egaray-Fesquet, F. Castella, and P. Degond, "From Bloch model to the rate equations," Disc. Cont. Dyn. Sys. 11, 1-26 (2004). [CrossRef]
  22. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Press, New York, 1995).
  23. S. L. McCall and E. L. Hahn, "Self-Induced Transparency," Phys. Rev. 183, 457-485 (1969). [CrossRef]
  24. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1997).
  25. K. Li, M. I. Stockman, and D. J. Bergman, "Self-Similar Chain of Metal Nanospheres as an Efficient Nanolens," Phys. Rev. Lett. 91, 227402-(4) (2003). [CrossRef] [PubMed]
  26. C. Conti, L. Angelani, and G. Ruocco, "Light diffusion and localization in three-dimensional nonlinear disordered media," Phys. Rev. A 75, 033812-(5) (2007). [CrossRef]
  27. L. Rojas-Ochas, J. Mendez-Alcaraz, P. S. J.J. Saenz, and F. Scheffold, "Photonic Properties of Strongly Correlated Colloidal Liquids," Phys.Rev.Lett. 93, 073903-(4) (2004). [CrossRef]
  28. F. T. Hioe and J. H. Eberly, "N-Level Coherence Vector and Higher Conservation Laws in Quantum Optics and Quantum Mechanics," Phys. Rev. Lett. 47, 838-(4) (1981). [CrossRef]
  29. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston, 2005).
  30. Y. Y. Lee and C. T. Chen-Tsay, "The fifteenfold way of the SU(4) symmetry scheme of strongly interacting particles," Chinese Journal of Physics 3, 45-68 (1965).

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