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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 21 — Oct. 13, 2008
  • pp: 16371–16381

Efficient 3D sensitivity analysis of surface plasmon waveguide structures

Mohamed A. Swillam, Mohamed H. Bakr, and Xun Li  »View Author Affiliations


Optics Express, Vol. 16, Issue 21, pp. 16371-16381 (2008)
http://dx.doi.org/10.1364/OE.16.016371


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Abstract

We present a novel analytical approach for efficient sensitivity analysis of surface plasmon polaritons (SPPs) waveguide-based structures using the beam propagation method (BPM). Our approach exploits the adjoint variable technique to extract the response sensitivities with respect to all the design parameters regardless of their number. No extra BPM simulations are required. The accuracy of the results are comparable to those obtained using the expensive central finite difference approximations applied at the response level. Our approach is successfully applied to different SPPs structures for different applications.

© 2008 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.1360) Optical devices : Beam splitters
(240.6680) Optics at surfaces : Surface plasmons
(250.5403) Optoelectronics : Plasmonics

ToC Category:
Optics at Surfaces

History
Original Manuscript: July 30, 2008
Revised Manuscript: September 16, 2008
Manuscript Accepted: September 17, 2008
Published: September 29, 2008

Citation
Mohamed A. Swillam, Mohamed H. Bakr, and Xun Li, "Efficient 3D sensitivity analysis of surface plasmon waveguide structures," Opt. Express 16, 16371-16381 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-21-16371


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References

  1. S. A. Maier, Plasmonics: Fundamentals and Applications, (Springe, 2007).
  2. P. Berini, "Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of symmetric structures," Phys. Rev. B, Condens. Matter. 61, 10484-10503 (2000). [CrossRef]
  3. G. Veronis and S. Fan, "Modes of Subwavelength Plasmonic Slot Waveguides,"J. Lightwave Technol. 25, 2511-2521 (2007). [CrossRef]
  4. W. L. Barnes, A. Dereux, and T. W. Ebbesen "Surface plasmon subwavelength optics," Nature. 424, 824-830 (2003). [CrossRef] [PubMed]
  5. I. Breukelaar, R. Charbonneau, and P. Berini, " Long-range surface plasmon-polariton mode cutoff and radiation in embedded strip waveguides," J. Appl. Phys. 100, 043104-1-043104-9 (2006). [CrossRef]
  6. N. N. Feng, M. L. Brongersma, and L. D Negro, "Metal-Dielectric slot-waveguide structures for the propagation of surface plasmon polaritons at 1.55 μm," IEEE J.Quantum Electron. 43, 479 - 485 (2007). [CrossRef]
  7. J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999). [CrossRef]
  8. R. D. Harris and J. S. Wilkinson, "Waveguide surface plasmon resonance sensors," Sens. Actuators B 29, 261-267 (1995). [CrossRef]
  9. J. Homola, "Present and future of surface plasmon resonance biosensors," Anal. Bioanal. Chem. 377, 528-539 (2003). [CrossRef] [PubMed]
  10. J. Shibayama, S. Takagi, T. Yamazaki, J. Yamauchi, and H. Nakano, "Numerical analysis of waveguide-based surface Plasmon resonance sensor with adsorbed layer using two- and three-dimensional beam-propagation methods," IEICE Trans. Electron.  E90-C, 95-100 (2007). [CrossRef]
  11. J. Shibayama, S. Takagi, T. Yamazaki, J. Yamauchi, and H. Nakano, "Eigenmode analysis of a light-guiding metal line loaded on a dielectric substrate using the imaginary-distance beam-propagation method," J. Lightwave Technol. 23, 1533- 1539 (2005). [CrossRef]
  12. G. Veronis, R. W. Dutton, and S. Fan, "Method for sensitivity analysis of photonic crystal devices," Opt. Lett. 29, 2288-2290 (2004). [CrossRef] [PubMed]
  13. M. A. Swillam, M. H. Bakr, and X. Li, "Accurate sensitivity analysis of photonic devices exploiting the finite-difference time-domain central adjoint variable method," Appl. Opt. 46, 1492-1499.(2007). [CrossRef] [PubMed]
  14. M. A. Swillam, M. H. Bakr, and X. Li, "Efficient adjoint sensitivity analysis exploiting the FD-BPM," J. Lightwave Technol. 25, 1861 - 1869 (2007). [CrossRef]
  15. M. A. Swillam, M. H. Bakr, and X. Li, "Full vectorial 3D sensitivity analysis and design optimization using BPM," J. Lightwave Technol. 26, 528-536 (2008). [CrossRef]
  16. Y. Hsueh, M. Yang, and H. Chang," Three-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method," J. Lightwave Technol. 19, 2389-2397 (1999). [CrossRef]
  17. P. A. W. Basl, M. H. Bakr, and N. K. Nikolova, "Efficient estimation of sensitivities in TLM with dielectric discontinuities," IEEE Microwave Wirel. Compon. Lett. 15, 89-91 (2005). [CrossRef]
  18. J. W. Brown and R. V. Churchil, Complex Variables and Applications (McGraw-Hill, 2003).
  19. FEMLAB, 2.3 ed. COMSOL AB, Sweden, 2002. http://www.comsol.com
  20. L. B. Soldano and E. C. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995). [CrossRef]

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