Table of Contents
Advances in Optical Technologies
Volume 2011, Article ID 265702, 6 pages
http://dx.doi.org/10.1155/2011/265702
Research Article

Nonstandard FDTD Simulation-Based Design of CROW Wavelength Splitters

1Department of Computer Science, Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
2Department of Nanosystem Science, Graduate School of Nanobioscience, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama, Kanagawa 236-0027, Japan
3Optics and Electronics Laboratory, Fujikura Ltd., 1440 Mutsuzaki, Sakura, Chiba 285-8550, Japan
4Koga Soken Ltd., 344-6 Uchikoshi-machi, Hachioji, Tokyo 192-0082, Japan

Received 27 January 2011; Accepted 23 March 2011

Academic Editor: Augusto Belendez

Copyright © 2011 Naoki Okada et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. S. Yee, “Numerical solution of initial boundary value problems involving maxwell’s equations in isotropic media,” IEEE Transactions on Antennas and Propagation, vol. 14, no. 3, pp. 302–307, 1966. View at Google Scholar
  2. G. L. Hower, R. G. Olsen, J. D. Earls, and J. B. Schneider, “Inaccuracies in numerical calculation of scattering near natural frequencies of penetrable objects,” IEEE Transactions on Antennas and Propagation, vol. 41, no. 7, pp. 982–986, 1993. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Hoekstra, J. Rahola, and P. Sloot, “Accuracy of internal fields in volume integral equation simulations of light scattering,” Applied Optics, vol. 37, no. 36, pp. 8482–8497, 1998. View at Google Scholar · View at Scopus
  4. S. V. Boriskina, P. Sewell, and T. M. Benson, “Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric galerkin discretization,” Journal of the Optical Society of America A, vol. 21, no. 3, pp. 393–402, 2004. View at Google Scholar
  5. X. Ji, T. Lu, W. Cai, and P. Zhang, “Discontinuous galerkin time domain (DGTD) methods for the study of 2-D waveguide-coupled microring resonators,” Journal of Lightwave Technology, vol. 23, no. 11, pp. 3864–3874, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Niegemann, W. Pernice, and K. Busch, “Simulation of optical resonators using DGTD and FDTD,” Journal of Optics A, vol. 11, no. 11, Article ID 114015, 2009. View at Publisher · View at Google Scholar
  7. R. E. Mickens, Nonstandard Finite Difference Models of Differential Equation, World Scientific, 1994.
  8. J. B. Cole, “High-accuracy yee algorithm based on nonstandard finite differences: new developments and verifications,” IEEE Transactions on Antennas and Propagation, vol. 50, no. 9, pp. 1185–1191, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. N. Okada and J. B. Cole, “Simulation of whispering gallery modes in the mie regime using the nonstandard finite-difference time domain algorithm,” Journal of the Optical Society of America B, vol. 27, no. 4, pp. 631–639, 2010. View at Google Scholar
  10. N. Okada and J. B. Cole, “High-accuracy finite-difference time domain algorithm for the coupled wave equation,” Journal of the Optical Society of America B, vol. 27, no. 7, pp. 1409–1413, 2010. View at Google Scholar
  11. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Optics Letters, vol. 24, no. 11, pp. 711–713, 1999. View at Google Scholar · View at Scopus
  12. S. Deng, W. Cai, and V. N. Astratov, “Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides,” Optics Express, vol. 12, no. 26, pp. 6468–6480, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. S. J. Emelett and R. Soref, “Design and simulation of silicon microring optical routing switches,” Journal of Lightwave Technology, vol. 23, no. 4, pp. 1800–1807, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. S. V. Boriskina, “Spectral engineering of bends and branches in microdisk coupled-resonator optical waveguides,” Optics Express, vol. 15, no. 25, pp. 17371–17379, 2007. View at Google Scholar · View at Scopus
  15. P. Dumon, W. Bogaerts, D. Van Thourhout et al., “Compact wavelength router based on a Silicon-on-insulator arrayed waveguide grating pigtailed to a fiber array,” Optics Express, vol. 14, no. 2, pp. 664–669, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. G. Yuan, P. Wang, Y. Lu, and H. Ming, “Multimode interference splitter based on dielectric-loaded surface plasmon polariton waveguides,” Optics Express, vol. 17, no. 15, pp. 12594–12600, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. V. Van, T. A. Ibrahim, K. Ritter et al., “All-optical nonlinear switching in GaAs-AlGaAs microring resonators,” IEEE Photonics Technology Letters, vol. 14, no. 1, pp. 74–76, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. F. Vollmer and S. Arnold, “Whispering-gallery-mode biosensing: Label-free detection down to single molecules,” Nature Methods, vol. 5, no. 7, pp. 591–596, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  19. P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods, World Scientific, 1989.
  20. J. Heebner, R. Grover, and T. A. Ibrahim, Optical Microresonators: Theory, Fabrication and Applications, Springer, 2007.
  21. N. Okada and J. B. Cole, “Nonstandard finite difference time domain algorithm for berenger's perfectly matched layer,” The Applied Computational Electromagnetic Society Journal, 2011. View at Google Scholar
  22. B. J. Frey, D. B. Leviton, and T. J. Madison, “Temperature-dependent refractive index of silicon and germanium,” in Optomechanical Technologies for Astronomy, vol. 6273 of Proceedings of SPIE, Orlando, Fla, USA, May 2006. View at Publisher · View at Google Scholar