## Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures

JOSA A, Vol. 26, Issue 4, pp. 732-740 (2009)

http://dx.doi.org/10.1364/JOSAA.26.000732

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### Abstract

Among the most popular approaches used for simulating plasmonic systems, the discrete dipole approximation suffers from poorly scaling volume discretization and limited near-field accuracy. We demonstrate that transformation to a surface integral formulation improves scalability and convergence and provides a flexible geometric approximation allowing, e.g., to investigate the influence of fabrication accuracy. The occurring integrals can be solved quasi-analytically, permitting even rapidly changing fields to be determined arbitrarily close to a scatterer. This insight into the extreme near-field behavior is useful for modeling closely packed particle ensembles and to study “hot spots” in plasmonic nanostructures used for plasmon-enhanced Raman scattering.

© 2009 Optical Society of America

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(050.1755) Diffraction and gratings : Computational electromagnetic methods

(350.4238) Other areas of optics : Nanophotonics and photonic crystals

(250.5403) Optoelectronics : Plasmonics

(050.5745) Diffraction and gratings : Resonance domain

(050.6624) Diffraction and gratings : Subwavelength structures

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: December 11, 2008

Manuscript Accepted: January 14, 2009

Published: March 6, 2009

**Citation**

Andreas M. Kern and Olivier J. F. Martin, "Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures," J. Opt. Soc. Am. A **26**, 732-740 (2009)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-4-732

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