OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 7 — Apr. 3, 2006
  • pp: 2744–2752

Ultrafast nonlinear dynamics of whispering-gallery mode micro-cavity lasers

A. Klaedtke and O. Hess  »View Author Affiliations

Optics Express, Vol. 14, Issue 7, pp. 2744-2752 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (1475 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We explore the ultrafast spatio-temporal dynamics of whispering-gallery micro-cavity lasers. To model the dynamics of the nonlinear whispering-gallery modes we develop a three-dimensional Finite-Difference Time-Domain modelling framework based on the spin and therefore optical polarisation resolved Maxwell-Bloch equations. The numerical algorithm brings together a real value form of the optical Bloch equations with the curl part of Maxwell’s equations. The Hamiltonian of the two-level system contains either linear or circular polarised transitions. In cylindrical micro-cavity lasers the coherent, nonlinear emission process leads to ultrafast fan-like rotational phase dynamics of the degenerate whispering-gallery modes. This rotation is shown to be arrested in gear-shaped micro-cavity lasers followed by an over-damped relaxation oscillation.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(030.4070) Coherence and statistical optics : Modes
(140.0140) Lasers and laser optics : Lasers and laser optics

ToC Category:
Lasers and Laser Optics

Original Manuscript: January 10, 2006
Revised Manuscript: March 27, 2006
Manuscript Accepted: March 27, 2006
Published: April 3, 2006

A. Klaedtke and O. Hess, "Ultrafast nonlinear dynamics of whispering-gallery mode micro-cavity lasers," Opt. Express 14, 2744-2752 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. J. Vahala, "Optical microcavities," Nature 424, 939 (2003). [CrossRef]
  2. A. F. Levi, S. L. McCall, S. J. Pearton and R. A. Logan, "Room temperature operation of submicrometer radius disk laser," Electron. Lett. 29,1666-1667 (1993). [CrossRef]
  3. M. Fujita and T. Baba, "Microgear Laser," Appl. Phys. Lett. 80,2051-2053 (2002). [CrossRef]
  4. M. S. Skolnick, T. A. Fisher and D. M. Whittaker "Strong coupling phenomena in quantum microcavity structures," Semicond. Sci. Technol. 13,645-669 (1998). [CrossRef]
  5. K. Srinivasan, M. Borselli, O. Painter, A. Stintz and S. Krishna, "Cavity Q, mode volume, and lasing threshold in small diameter AlGaAs microdisks with embedded quantum dots," Opt. Express 14,1094-1105 (2006). [CrossRef] [PubMed]
  6. W. Zakowicz, "Whispering-Gallery-Mode Resonances: A NewWay to Accelerate Charged Particles," Phys. Rev. Lett. 95, 114801 (2005). [CrossRef] [PubMed]
  7. A. Klaedtke, J. Hamm and O. Hess, "Simulation of Active and Nonlinear Photonic Nano-Materials in the Finite- Difference Time-Domain (FDTD) Framework," Lecture Notes in Physics 642, Computational Material Science - From Basic Principles to Material Properties, 75-101, Springer (2004).
  8. P. G. Eliseev, H. Li, A. Stintz, G. T. Liu, T. C. Newell, K. J. Malloy and L. F. Lester, "Transition dipole moment of InAs/InGaAs quantum dots from experiments on ultralow-threshold laser diodes," Appl. Phys. Lett. 77, 262-264 (2000). [CrossRef]
  9. P. Borri,W. Langbein, S. Schneider, U. Woggon, R. L. Sellin, D. Ouyang and D. Bimberg, "Ultralong Dephasing Time in InGaAs Quantum Dots," Phys. Rev. Lett. 87, 157401 (2001). [CrossRef] [PubMed]
  10. E. Gehrig, O. Hess, C. Ribbat, R. L. Sellin and D. Bimberg, "Dynamic filamentation and beam quality of quantum-dot lasers," Appl. Phys. Lett. 84, 1650 (2004). [CrossRef]
  11. A. Taflove and S. C. Hagness, "Computational Electrodynamics: the FDTD method" 2nd ed. (Artech House, Boston, London, 2000) 2006
  12. K. P. Huy, A. Morand, D. Amans and P. Benech, "Analytical study of the whispering-gallery mode in twodimensional microgear cavity using coupled-mode theory," J. Opt. Soc. Am. B 22,1793-1803 (2005). [CrossRef]
  13. R. E. Slusher, A. F. Levi, U. Mohideen, S. L. McCall, S. J. Pearton and R. A. Logan, "Threshold characteristics of semiconductor microdisk lasers," Appl. Phys. Lett. 63, 1310-1312 (1993). [CrossRef]
  14. M. Pelton and Y. Yamamoto, "Ultralow threshold laser using a single quantum dot and a microsphere cavity," Phys. Rev. A 59, 2418-2421 (1999). [CrossRef]
  15. K. Nozaki, A. Nakagawa, D. Sano and T. Baba, "Ultralow Threshold and Single-Mode Lasing in Microgear Lasers and Its Fusion With Quasi-Periodic Photoic Crystals," IEEE J. Select. Top. Quantum Electron. 91355- 1360 (2003). [CrossRef]
  16. A. Klaedtke research white paper, "Nanolasers," (University of Surrey, Advanced Technology Institute, Theory and Advanced Computation, 2006), http://www.ati.surrey.ac.uk/TAC/research/nanolasers.

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