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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 24112–24129

Solving dielectric and plasmonic waveguide dispersion relations on a pocket calculator

Rohan D. Kekatpure, Aaron C. Hryciw, Edward S. Barnard, and Mark L. Brongersma  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 24112-24129 (2009)

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We present a robust iterative technique for solving complex transcendental dispersion equations routinely encountered in integrated optics. Our method especially befits the multilayer dielectric and plasmonic waveguides forming the basis structures for a host of contemporary nanophotonic devices. The solution algorithm ports seamlessly from the real to the complex domain—i.e., no extra complexity results when dealing with leaky structures or those with material/metal loss. Unlike several existing numerical approaches, our algorithm exhibits markedly-reduced sensitivity to the initial guess and allows for straightforward implementation on a pocket calculator.

© 2009 Optical Society of America

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

ToC Category:
Physical Optics

Original Manuscript: October 13, 2009
Revised Manuscript: December 11, 2009
Manuscript Accepted: December 14, 2009
Published: December 17, 2009

Rohan D. Kekatpure, Aaron C. Hryciw, Edward S. Barnard, and Mark L. Brongersma, "Solving dielectric and plasmonic waveguide dispersion relations on a pocket calculator," Opt. Express 17, 24112-24129 (2009)

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