Discontinuous Galerkin Time Domain (DGTD) methods for the study of 2-D waveguide-coupled microring resonators

Journal of Lightwave Technology

Volumn 23, Issue 11, 2005, Pages 3864-3874

  Ji, Xia ^a   Lu, Tiao ^a   Cai, Wei ^b   Zhang, Pingwen ^a  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

Discontinuous Galerkin time domain (DGTD); Maxwells' equations; Microring resonators; Uniaxial perfectly matched layer (UPML)

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; LIGHT PROPAGATION; MAXWELL EQUATIONS; MICROOPTICS; OPTICAL WAVEGUIDES; POLYNOMIALS; TIME DOMAIN ANALYSIS;

DISCONTINUOUS GALERKIN TIME DOMAIN (DGTD) METHOD; MICRORING RESONATORS; RUNGE-KUTTA METHODS; UNIAXIAL PERFECTLY MATCHED LAYER (UPML);

OPTICAL RESONATORS;

EID: 30344445666     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2005.855858     Document Type: Article

References (21)

1. M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, "Ultimate Q of optical microsphere resonators," Opt. Lett., vol. 21, no. 7, pp. 453-455, 1996.
2. K. Oda, S. Suzuki, H. Takahashi, and H. Toba, "An optical FDM distribution experiment using a high finesse waveguide-type double ring resonator," IEEE Photon. Technol. Lett., vol. 6, no. 8, pp. 1031-1034, Aug. 1994.
3. R. Orta, P. Savi, R. Tascone, and D. Trinchero, "Synthesis of multiplering-resonator filters for optical systems," IEEE Photon. Technol. Lett., vol. 7, no. 12, pp. 1447-1449, Dec. 1995.
4. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J. P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol., vol. 15, no. 6, pp. 998-1005, Jun. 1997.
5. A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett., vol. 36, no. 4, pp. 321-322, 2000.
6. M. K. Chin and S. T. Ho, "Design and modeling of waveguide coupled single mode microring resonator," J. Lightw. Technol., vol. 16, no. 8, pp. 1433-1446, Aug. 1998.
7. H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, "Coupled-mode theory of optical waveguides," J. Lightw. Technol., vol. LT-5, no. 1, pp. 16-23, Jun. 1987.
8. S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, "FDTD microcavity simulations: Design and experimental realization of waveguide-coupled single-mode ring and whispering-gallery-mode disk resonator," J. Lightw. Technol., vol. 15, no. 11, pp. 2154-2165, Nov. 1997.
9. B.-J. Li and P.-L. Liu, "Numerical analysis of the whispering gallery modes by finite difference time domain methods," IEEE J. Quantum Electron., vol. 32, no. 9, pp. 1583-1587, Sep. 1996.
10. J. Krupka, D. Cros, M. Aubourg, and P. Guillon, "Study of whispering gallery modes in anisotropic single-crystal dielectric resonators," IEEE Trans. Microw. Theory Tech., vol. 42, no. 1, pp. 56-61, Jan. 1994.
11. T. Lu, P. Zhang, and W. Cai, "Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations," J. Comput. Phys., vol. 200, no. 2, pp. 549-580, 2004.
12. S. Z. Deng and W. Cai, "Discontinuous spectral element method modeling of optical coupling by whispering gallery modes between microcylinders," J. Opt. Soc. Amer. A, vol. 22, no. 5, pp. 952-960, 2005.
13. X. Ji, W. Cai, and P. Zhang, "High order (DGTD) simulation of plasmon resonant coupling of metal nanowires," Opt. Express, 2005. submitted for publication.
14. B. Cockburn, S. Hou, and C.-W. Shu, "Tvb Runge - Kutta local projection discontinuous Galerkin finite element method for conservation laws iv: The multidimensional case," Math. Comput., vol. 54, no. 190, pp. 545-581, 1990.
15. A. Taflove and S. C. Hagness, Computational Electromagnetics: The Finite-Difference Time-Domain Method, 2nd ed. Boston, MA: Artech House, 2000.
16. B. Szabo and I. Babuska, Finite Element Analysis. New York: Wiley, 1991.
17. A. H. Mohammadian, V. Shankar, and W. F. Hall, "Computation of electromagnetic scattering and radiation using a time-domain finite-volume discretization procedure," Comput. Phys. Commun., vol. 68, no. 1-3, pp. 175-196, 1991.
18. R. E. Collin, Field Theory of Guided Waves, 2nd ed. New York: Wiley-IEEE Press, 1990.
19. T. Warburton, L. Pavarino, and J. S. Hestheven, "A pseudospectral scheme for incompressible Navier Stokes using unstructured nodal element," J. Comput. Phys., vol. 164, no. 1, pp. 1-21, 2000.
20. [Online]. Available: http://www-dinma.univ.trieste.it/nirftc/research/ easymesh
21. [Online]. Available: http://Issc/Manual/lssc2man.txt