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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 16 — Aug. 15, 2012
  • pp: 3453–3455

Adjoint variable method for two-dimensional plasmonic structures

O. S. Ahmed, M. H. Bakr, X. Li, and T. Nomura  »View Author Affiliations


Optics Letters, Vol. 37, Issue 16, pp. 3453-3455 (2012)
http://dx.doi.org/10.1364/OL.37.003453


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Abstract

We present, for the first time, an adjoint variable method (AVM) for wideband sensitivity analysis of dispersive materials. The time domain transmission line modeling technique is exploited to calculate the response and its sensitivities with respect to all the designable parameters using at most one extra simulation. A z-domain representation of dispersive materials is utilized in the derivation of this technique. Our approach is illustrated through sensitivity analysis of a two-dimensional teeth-shaped plasmonic resonator. The AVM sensitivities are compared with the accurate and expensive finite difference approach and good agreement is achieved. This theory can be extended to other dispersive materials and dispersive metamaterials as well.

© 2012 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(240.6680) Optics at surfaces : Surface plasmons
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(250.5403) Optoelectronics : Plasmonics

ToC Category:
Optoelectronics

History
Original Manuscript: April 27, 2012
Revised Manuscript: June 27, 2012
Manuscript Accepted: July 12, 2012
Published: August 13, 2012

Citation
O. S. Ahmed, M. H. Bakr, X. Li, and T. Nomura, "Adjoint variable method for two-dimensional plasmonic structures," Opt. Lett. 37, 3453-3455 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-16-3453


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