Computational electrodynamics finite difference time domain

A. Taflove and S.C. Hagness, Computational electrodynamics the finite-difference time-domain method, 2 ed., (ArtechHouse, Norwood, 2000). 

K. L. Shlager, and J. B. Schneider, A survey of the finite-difference time domain literature, in A. Taflove (Ed,), Advances in computational electrodynamics the finite difference time domain method (Artech House, 1998), pp. 1- 62. 

A. Taflove and S. C. Hagness, Computational Electrodynamics The Finite-Difference Time-Domain Method, 3rd ed. Norwood, MA Artech House, 2005. 

S. D. Gedney, J. A. Roden, N. K. Madsen. A. H. Mohammadian, W. F. Hall, V. Sankar, and C. Rowell, Explicit time-domain solutions of Maxwell s equations via generalized grids, in Advances in Computational Electrodynamics The Finite-Difference Time-Domain Method, A. Taflove, Ed. Norwood, MA Artech House, 1998, ch. 4, pp. 163—262. 

The inter-particle distance dependence of the near-field coupling would therefore reflect the distance decay of the near-field itself. In other words, each particle senses the near-field due to the other particle. By varying the distance of the other particle and monitoring the LSPR response, the spatial profile of the near-field can be deduced. The plot of the LSPR red-shift as a function of inter-particle gap (surface-to-surface separation) shows a much more rapid decay of the near-field than predicted by the dipolar model. This is because the dipolar model does not take into account the multipolar interactions between the particles, which become increasingly important at smaller and smaller inter-particle gaps. Plasmon coupling is therefore a multipolar interaction and its true distance-dependence can be quantitatively reproduced only by a complete treatment that includes all modes of interaction (dipolar, quadrupolar, octupolar). Computational electrodynamics methods such as discrete dipole approximation (DDA) (see Chapter 2) and finite-difference-time-domain (FDTD), which include a full multipolar treatment in addition to finite-size retardation effects, fit experimental trends well. 

Taflove, A., Computational Electrodynamics the Finite Difference Time-domain Method, Artech House, Boston, 1995. 

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