Scattering matrix approach to the resonant states and Q values of microdisk lasing cavities

Applied Optics

Volumn 43, Issue 8, 2004, Pages 1761-1772

  Rahachou, Aliaksandr I ^a   Zozoulenko, Igor V ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BESSEL FUNCTIONS; COMPUTER SIMULATION; DIELECTRIC MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; LIGHT REFLECTION; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; REFRACTIVE INDEX; RESONANCE; SURFACE ROUGHNESS; VECTORS;

HUSIMI DISTRIBUTIONS; MICRODISK LASING CAVITIES; Q VALUES; RESONANT STATES; SCATTERING MATRIX METHOD;

LASER MODES;

EID: 1842559851     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.43.001761     Document Type: Article

References (31)

1. Y. Yamamoto and R. E. Slusher, "Optical processes in microcavities," Phys. Today 46, 66-72 (1993).
2. J. U. Nöckel and R. K. Chang, "2-d microcavities: theory and experiments," in Cavity-Enhanced Spectroscopies, R. D. van Zee and J. P. Looney, eds., Vol. 40 of Experimental Methods in the Physical Sciences (Academic, San Diego, 2002), pp. 185-226.
3. S. C. Hill and R. E. Benner, "Morphology-dependent resonances," in Optical Effects Associated with Small Particles, P. W. Barber and R. K. Chang, eds., Vol. 1 of Advanced Series in Applied Physics (World Scientific, Singapore, 1989), pp. 3-61.
4. S. L. McCall, A. F. J. Levi, R. E. Slusher, S. J. Pearton, and R. A. Logan, "Whispering-gallery mode microdisk lasers," Appl. Phys. Lett. 60, 289-291 (1992).
5. R. E. Slusher, A. F. J. 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 (1992).
6. M. Fujita, K. Inoshita, and T. Bata, "Room temperature continuous wave lasing characteristics of GaInAsP/InP microdisk injection laser," Electron. Lett. 34, 278-279 (1998).
7. B. Gayral, J. M. Gérard, A. Lemaître, C. Dupuis, L. Manin, and J. L. Pelouard, "High-Q wet etched GaAS microdisks containing InAs quantum boxes," Appl. Phys. Lett. 75, 1908-1910 (1999).
8. C. Seassal, X. Letartre, J. Brault, M. Gendry, P. Pottier, P. Viktorovitch, O. Piquet, P. Blondy, D. Cros, and O. Marty, "InAs quantum wires in InP-based microdiscs: mode identification and continuous wave room temperature laser operation," J. Appl. Phys. 88, 6170-6174 (2000).
9. A. Dodabalapur, M. Berggren, R. E. Slusher, Z. Bao, A. Timko, P. Schiortino, E. Laskowski, H. E. Katz, and O. Nalamasu, "Resonators and materials for organic lasers based on energy transfer," IEEE J. Sel. Top. Quantum Electron. 4, 67-74 (1998).
10. M. Theander, T. Granlund, D. M. Johanson, A. Ruseckas, V. Sundström, M. R. Andersson and O. Inganäs, "Lasing in a microcavity with an oriented liquid-crystalline polyfluorene copolymer as active layer," Adv. Mater. 13, 323-327 (2001).
11. R. C. Polson, Z. Vardeny, and D. A. Chinn, "Multiple resonances in microdisk lasers of π-conjugated polymers," Appl. Phys. Lett. 81, 1561-1563 (2002).
12. K. S. Yee, "Numerical solution of initial boundary-value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. AP-14, 302-307 (1996).
13. B.-J. Li and P.-L. Liu, "Analysis of far-field patterns of microdisk resonators by the finite-difference time-domain method," IEEE J. Quantum Electron. 33, 1489-1491 (1997).
14. M. N. O. Sadiku, Numerical Techniques in Electromagnetics (CRC Press, Boca Raton, Fla., 2001).
15. P. C. Waterman, "Symmetry, unitarity and geometry in electromagnetic scattering," Phys. Rev. D 3, 825-839 (1971).
16. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, (Cambridge U. Press, Cambridge, 2002).
17. P. A. Knipp and T. L. Reinecke, "Boundary-element method for the calculation of the electronic states in semiconductor nanostructures," Phys. Rev. B 54, 1880-1891 (1996).
18. J. Wiersig, "Boundary element method for resonances in dielectric microcavities," J. Opt. A, Pure Appl. Opt. 5, 53-60 (2003).
19. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Highly efficient design of spectrally engineered whispering-gallery-mode microlaser resonators," Opt. Quantum Electron. 35, 545-559 (2003).
20. V. V. Nikolsky and T. I. Nikolskaya, Decomposition Approach to the Problems of Electrodynamics (Nauka, Moscow, 1983; in Russian).
21. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge U. Press, Cambridge, 1995).
22. M. Hentschel and K. Richter, "Quantum chaos in optical systems: the annular billiar," Phys. Rev. E 66, 0526207 1-13 (2002).
23. F. T. Smith, "Lifetime matrix in collision theory," Phys. Rev. 118, 349-356 (1960).
24. M. Bauer, P. A. Mello, and K. W. McVoy, "Time delay in nuclear reactions," Z. Phys. A 293, 151-163 (1979).
25. Z. S. Wu and Y. P. Y. Wang, "Electromagnetic scattering for multilayered spheres: recursive algorithms," Radio Sci. 26, 1393-1401 (1991).
26. B. R. Johnson, "Light scattering by a multilayer sphere," Appl. Opt. 35, 3286-3296 (1996).
27. A. V. Snyder and J. D. Love, "Reflection at a curved dielectric interface - electromagnetic tunneling," IEEE Trans. Microwave Theory Tech. MTT-23, 134-141 (1975).
28. M. Hentschel and H. Schomerus, "Fresnel laws at curved dielectric interfaces of microresonators," Phys. Rev. E 65, 045603 (2002).
29. A. D. Stone, "Wave-chaotic optical resonators and lasers," in Proceedings of the Nobel Symposium Quantum Chaos 2000, Phys. Scr. T90, 248-262 (2001).
30. B. Crespi, G. Perez, and S. J. Chang, "Quantum Poincaré sections for two-dimensional billiards," Phys. Rev. E 47, 986-991 (1993).
31. J. Wiersig, "Hexagonal dielectric resonators and microcrystal lasers," Phys. Rev. A 67, 023807 (2003).