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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 23 — Dec. 1, 2013
  • pp: 5161–5164

Invariance of optimal composite waveguide geometries with respect to permittivity of the metal cladding

Joseph S. T. Smalley, Matthew W. Puckett, and Yeshaiahu Fainman  »View Author Affiliations


Optics Letters, Vol. 38, Issue 23, pp. 5161-5164 (2013)
http://dx.doi.org/10.1364/OL.38.005161


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Abstract

We optimize the threshold gain for cylindrical composite (semiconductor–dielectric–metal) waveguides (WGs) with various metal claddings. We show that the optimal dielectric width is invariant with respect to the imaginary part of the permittivity of the metal, εM, and weakly dependent on the real part, εM. To explain this behavior, we compare optimal geometries of WGs with different semiconductor permittivities, εG. Results from these comparisons indicate that the optimal effective index parallels the optimal threshold gain in its relation to εM. We use our results to heuristically propose an analytical expression for the optimal threshold gain that approximates the numerical solution to within a factor of two over the range of explored εG. Finally, we use data from our optimizations to obtain approximate analytical expressions for the optimal dielectric width and threshold gain as functions of the total WG radius.

© 2013 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.7370) Optical devices : Waveguides
(260.3910) Physical optics : Metal optics
(310.4165) Thin films : Multilayer design
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Thin Films

History
Original Manuscript: September 5, 2013
Revised Manuscript: September 30, 2013
Manuscript Accepted: November 2, 2013
Published: November 27, 2013

Citation
Joseph S. T. Smalley, Matthew W. Puckett, and Yeshaiahu Fainman, "Invariance of optimal composite waveguide geometries with respect to permittivity of the metal cladding," Opt. Lett. 38, 5161-5164 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-23-5161


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