Polarization properties and dispersion relations for spiral resonances of a dielectric rod

Journal of the Optical Society of America B: Optical Physics

Volumn 22, Issue 11, 2005, Pages 2295-2307

  Schwefel, Harald G L ^a   Stone, A Douglas ^a   Tureci, Hakan E ^a  

^a Yale University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIELECTRIC DEVICES; LASER RESONATORS; LIGHT EMISSION; LIGHT POLARIZATION; LIGHT REFLECTION; RESONANCE; WAVE EQUATIONS;

DIELECTRIC MICROCAVITIES; DIELECTRIC ROD; MICROLASERS; POLARIZATION CRITICAL ANGLE; SPIRAL RESONANCES;

CAVITY RESONATORS;

EID: 28044455469     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.22.002295     Document Type: Article

References (19)

1. C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, "High-power directional emission from microlasers with chaotic resonators," Science 280, 1556-1564 (1998).
2. J. U. Nöckel and A. D. Stone, "Ray and wave chaos in asymmetric resonant optical cavities," Nature 385, 45-47 (1997).
3. N. B. Rex, H. E. Tureci, H. G. L. Schwefel, R. K. Chang, and A. D. Stone, "Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators," Phys. Rev. Lett. 88, 094102 (2002).
4. G. D. Chern, H. E. Tureci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, "Unidirectional lasing from InGaN multiple-quantum-well spiral-shaped micropillars," Appl. Phys. Lett. 83, 1710-1712 (2003).
5. H. G. L. Schwefel, N. B. Rex, H. E. Tureci, R. K. Chang, A. D. Stone, T. Ben-Messaoud, and J. Zyss, "Dramatic shape sensitivity of directional emission patterns from similarly deformed cylindrical polymer lasers," J. Opt. Soc. Am. B 21, 923-934 (2004), physics/ 0308001.
6. A. W. Poon, R. K. Chang, and J. A. Lock, "Spiral morphology-dependent resonances in an optical fiber: effects of fiber tilt and focused Gaussian beam illumination," Opt. Lett. 23, 1105-1107 (1998).
7. J. A. Lock, "Morphology-dependent resonances of an infinitely long circular cylinder illuminated by a diagonally incident plane wave or a focused Gaussian beam," J. Opt. Soc. Am. A 14, 653-661 (1997).
8. G. Roll and G. Schweiger, "Resonance shift of obliquely illuminated dielectric cylinders: geometrical-optics estimates," Appl. Opt. 37, 5628-5630 (1998).
9. H. G. L. Schwefel and A. D. Stone, "Vector resonances in chaotic dielectric rods" (in preparation; available from the authors at the address on the title page).
10. H. E. Türeci, "Wave chaos in dielectric resonators: asymptotic and numerical approaches," Ph.D. thesis (Yale University, New Haven, Connecticut, 2003).
11. H. G. L. Schwefel, "Directionality and vector resonances of regular and chaotic dielectric microcavities," Ph.D. thesis (Yale University, New Haven, Connecticut, 2004).
12. T. Harayama, P. Davis, and K. S. Ikeda, "Stable oscillations of a spatially chaotic wave function in a microstadium laser," Phys. Rev. Lett. 90, 063901 (2003).
13. H. E. Tureci, H. G. L. Schwefel, P. Jacquod, and A. D. Stone, "Modes of wave-chaotic dielectric resonators," Prog. Opt. 47 (2005).
14. SLATEC, "SLATEC Common Mathematical Library (Version 4.1)," July 1993, http://www.netlib.org/slatec/.
15. J. B. Keller, "Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems," Ann. Phys. (N.Y.) 4, 180-188 (1958).
16. J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. (N.Y.) 9, 24-75 (1960).
17. A. Einstein, "Zum Quantensatz von Sommerfeld und Epstein," Verh. Dtsch. Phys. Ges. 19, 82-92 (1917).
18. J. D. Jackson, Classical Electrodynamics (Wiley, 1998).
19. R. C. Jones, "A new calculus for the treatment of optical systems. I. Description and discussion of the calculus," J. Opt. Soc. Am. 31, 488-493 (1941).