Optical modes in 2-D imperfect square and triangular microcavities

IEEE Journal of Quantum Electronics

Volumn 41, Issue 6, 2005, Pages 857-862

  Boriskina, Svetlana V ^a,b   Benson, Trevor M ^a   Sewell, Phillip ^a   Nosich, Alexander I ^a,c  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b V N KARAZIN KHARKIV NATIONAL UNIVERSITY   (Ukraine)

^c A USIKOV INSTITUTE OF RADIO PHYSICS AND ELECTRONICS   (Ukraine)

Author keywords

Mode degeneracy; Muller boundary integral equations (MBIEs); Optical microcavities; Square resonators; Surface roughness; Triangular resonators; Whispering gallery (WG) modes

Indexed keywords

INTEGRAL EQUATIONS; LIGHT PROPAGATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OPTICAL RESONATORS; REFRACTIVE INDEX; SURFACE ROUGHNESS;

MODE DEGENERACY; MULLER BOUNDARY INTEGRAL EQUATIONS (MBIES); OPTICAL MICROCAVITIES; OPTICAL MODES; SQUARE RESONATORS; TRANSVERSE ELECTRIC MODE; TRIANGULAR RESONATORS; WHISPERING GALLERY (WG) MODES;

LIGHT POLARIZATION;

EID: 20544463011     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2005.846696     Document Type: Article

References (22)

1. A. W. Poon, F. Courvoisier, and R. K. Chang, "Multimode resonances in square-shaped optical microcavities" Opt. Lett., vol. 26, no. 9 pp. 632-634, Sep. 2001.
2. C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, "Coupling of modes analysis of resonant channel add-drop filters" IEEE J. Quantum Electron., vol. 35, pp. 1322-1331, 1999.
3. M. Lohmeyer, "Mode expansion modeling of rectangular integrated optical resonators," Opt. Quantum Electron., vol. 34, no. 5/6, pp. 541-557, May/June 2002.
4. W.-H. Guo, Y.-Z. Huang, Q.-Y. Lu, and L.-J. Yu, "Whispering-gallery-like modes in square resonators," IEEE J. Quantum Electron., vol. 39, no. 9, pp. 1563-1566, Sep. 2003.
5. W.-H. Guo, Y.-Z. Huang, Q.-Y. Lu, and L.-J. Yu, "Mode quality factor based on far-field emission for square resonators," IEEE Photon. Technol. Lett., vol. 16, no. 2, pp. 479-481, Feb. 2004.
6. T. Ling, L. Liu, Q. Song, L. Xu, and W. Wang, "Intense directional lasing from a deformed square-shaped organic-inorganic hybrid glass microring cavity," Opt. Lett., vol. 28, no. 19, pp. 1784-1786, Oct. 2003.
7. Y.-Z. Huang, W.-H. Guo, and Q.-M. Wang, "Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator," IEEE J. Quantum Electron., vol. 37, no. 1, pp. 100-107, Jan. 2001.
8. Q. Y. Lu, X. H. Chen, W. H. Guo, L. J. Yu, Y. Z. Huang, J. Wang, and Y. Luo, "Mode characteristics of semiconductor equilateral triangle semiconductor microcavities with side length of 5-20 μm" IEEE Photon. Technol. Lett., vol. 16, no. 2, pp. 359-361, Feb. 2004.
9. S. V. Boriskina, P. Sewell, T M. Benson, and A. I. Nosich, "Accurate simulation of 2-D optical microcavities with uniquely solvable boundary integral equations and trigonometric-galerkin discretization," J. Opt. Soc. Amer. A, vol. 21, no. 3, pp. 393-402, Mar. 2004.
10. M. Fujita, A. Sakai, and T. Baba, "Ultrasmall and ultralow threshold GaInAsP-InP microdisk injection lasers: Design, fabrication, lasing characteristics, and spontaneous emission factor," IEEE J. Sel. Topics Quant. Electron., vol. 15, no. 3, pp. 673-681, May/Jun. 1999.
11. 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., vol. 60, no. 3, pp. 289-291, Jan. 1992.
12. E. I. Smotrova and A. I. Nosich, "Mathematical analysis of the lasing eigenvalue problem for the WG modes in a 2-D circular dielectric microcavity," Opt. Quantum Electron., vol. 36, no. 1-3, pp. 213-221, 2004.
13. M. Tinkham, Group Theory and Quantum Mechanics, ser. Int. Series in Pure and Applied Physics. New York: McGraw-Hill, 1964.
14. S.-H. Kim and Y.-H. Lee, "Symmetry relations of two-dimensional photonic crystal cavity modes," IEEE J. Quantum Electron., vol. 39, no. 9, pp. 1081-1085, Sep. 2003.
15. O. Frank and B. Eckhardt, "Eigenvalue density oscillations in separable microwave resonators," Phys. Rev. E, vol. 53, no. 4, pp. 4166-4175, Apr. 1996.
16. C. Y. Fong and A. W. Poon, "Mode field patterns and preferential mode coupling in planar waveguide-coupled square microcavities," Opt. Exp., vol. 11, no. 22, pp. 2897-2904, Nov. 2003.
17. Y.-L. Pan and R. K. Chang, "Highly efficient prism coupling to whispering gallery modes of a square μ cavity," Appl. Phys. Lett., vol. 82, no. 4, pp. 487-489, Jan. 2003.
18. L. Bach, A. Wolf, J. P. Reithmaier, and A. Forchel, "Square- and race-track-lasers as active components for monolithically integrated optoelectronic devices" in Proc. IPRM, 2002, pp. 111-114.
19. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Highly efficient design of spectrally engineered whispering-gallery-mode laser resonators," Opt. Quantum Electron., vol. 35, pp. 545-559, Mar./ Apr. 2003.
20. J. U. Nöckel, A. D. Stone, and R. K. Chang, "Q spoiling and directionality in deformed ring cavities," Opt. Lett., vol. 19, pp. 1693-1695, 1994.
21. B. E. Little, J. P. Laine, and S. T. Chu, "Surface-roughness-induced contradirectional coupling in ring and disk resonators," Opt. Lett., vol. 22, pp. 4-6, 1997.
22. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Spectral shift and Q-change of circular and square-shaped optical microcavity modes due to periodical sidewall surface roughness," J. Opt. Soc. Amer. B, vol. 21, no. 10, pp. 1792-1796, Oct. 2004.