OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 28, Iss. 20 — Oct. 15, 2010
  • pp: 2969–2976

Fourier Series-Based Bidirectional Propagation Algorithm With Adaptive Spatial Resolution

Jiří Čtyroký, Pavel Kwiecien, and Ivan Richter

Journal of Lightwave Technology, Vol. 28, Issue 20, pp. 2969-2976 (2010)


View Full Text Article

Acrobat PDF (662 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

Recently we described the implementation of complex coordinate transformation as boundary conditions into a bidirectional eigenmode expansion propagation algorithm based on Fourier series expansion for modeling optical field distribution in waveguide devices. In this communication we report on the implementation of an additional coordinate transformation known as adaptive spatial resolution into this algorithm. It helps significantly reduce the number of expansion terms needed to reach required accuracy especially for photonics structures containing layers of very different thicknesses and/or optical properties, e.g., metal layers.

© 2010 IEEE

Citation
Jiří Čtyroký, Pavel Kwiecien, and Ivan Richter, "Fourier Series-Based Bidirectional Propagation Algorithm With Adaptive Spatial Resolution," J. Lightwave Technol. 28, 2969-2976 (2010)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-28-20-2969


Sort:  Year  |  Journal  |  Reset

References

  1. J. Chilwell, I. Hodgkinson, "Thin-films field-transfer matrix theory of planar multilayer waveguides and reflection prism-loaded waveguides," J. Opt. Soc. Amer. A-1, 742-753 (1984).
  2. G. Sztefka, H.-P. Nolting, "Bidirectional eigenmode propagation for large refractive index steps," IEEE Photon. Technol. Lett. 5, 554-557 (1993).
  3. P. Bienstman, Rigorous and Efficient Modelling of Wavelength Scale Photonic Components Ph.D. dissertation University of GentBelgium (2001).
  4. P. Bienstman, http://camfr.sourceforge.net/ (2003).
  5. H. Berends, DBR Grating Spectral Filters for Optical Waveguide Sensors Ph.D. dissertationTU TwenteEnschede (1997).
  6. P. Lalanne, E. Silberstein, "Fourier-modal methods applied to waveguide computational problems," Opt. Lett. 25, 1092-1094 (2000).
  7. "Use of grating theories in integrated optics," J. Opt. Soc. Amer. A 18, 2865-2875 (2001).
  8. P. Lalanne, G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Amer. A 13, 779-784 (1996).
  9. C. Sauvan, P. Lalanna, J. P. Hugonin, "Truncation rules for modelling with Galerkin method in electromagnetic theory," Opt. Quantum Electron. 36, 271-284 (2004).
  10. J. Čtyroký, "A simple bidirectional mode expansion propagation algorithm based on modes of a parallel-plate waveguide," Opt. Quantum Electron. 38, 45-62 (2006).
  11. J. Čtyroký, "Improved bidirectional-mode expansion propagation algorithm based on Fourier series," J. Lightw. Technol. 25, 2321-2330 (2007).
  12. J. P. Hugonin, P. Lalanne, "Perfectly matched layers as nonlinear coordinate transforms: A generalized formalization," J. Opt. Soc. Amer. A 22, 1844-1849 (2005).
  13. G. Granet, "Reformulation of the lamellar grating problem through the concept of adaptive spatial resolution," J. Opt. Soc. Amer. A 16, 2510-2516 (1999).
  14. T. Vallius, M. Honkanen, "Reformulation of the Fourier modal method with adaptive spatial resolution: Application to multilevel profiles," Opt. Exp. 10, 24-34 (2002).
  15. P. Debackere, P. Bienstman, R. Baets, "Adaptive spatial resolution: Application to surface plasmon waveguide modes," Opt. Quantum Electron. 38, 857-867 (2006).
  16. J. Čtyroký, "Efficient boundary conditions for bidirectional propagation algorithm based on Fourier series," J. Lightw. Technol. 27, 2575-2582 (2009).
  17. M. Sumetsky, "Whispering-gallery-bottle microcavities: The three-dimensional etalon," Opt. Lett. 29, 8-10 (2004).
  18. B. Guizal, H. Yala, D. Felbacq, "Reformulation of the eigenvalue problem in the Fourier modal method with spatial adaptive resolution," Opt. Lett. 34, 2790-2792 (2009).
  19. C. E. Rüter, K. G. Makris, R. E-Ganainy, D. N. Christouildes, M. Segev, D. Kip, "Observation of parity-time symmetry in optics," Nature Phys. 6, 192-195 (2010).

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited