Evaluation of the scattering matrix of an arbitrary particle using the coupled dipole approximation

1986 ◽  
Vol 84 (5) ◽  
pp. 2658-2667 ◽  
Author(s):  
Shermila B. Singham ◽  
Gary C. Salzman
Keyword(s):  
Scattering Matrix ◽  
Dipole Approximation ◽  
Coupled Dipole Approximation

scholarly journals Coupled dipole approximation across the Γ-point in a finite-sized nanoparticle array

2017 ◽  
Vol 375 (2090) ◽  
pp. 20160316 ◽  
Author(s):  
J.-P. Martikainen ◽  
A. J. Moilanen ◽  
P. Törmä
Keyword(s):  
Real Space ◽  
Dipole Approximation ◽  
Incident Field ◽  
Nanoparticle Array ◽  
Radiation Patterns ◽  
New Horizons ◽  
Coupled Dipole Approximation

We study the response of a finite-sized nanoparticle array to an incident field in the vicinity of the Γ-point of the lattice. Using the coupled dipole approximation, we find that the dipole distributions can be strongly inhomogeneous and that strong modulations appear as the energy is above the Γ-point. We highlight how this is reflected in real-space extinction efficiencies as well as in radiation patterns from the finite-sized array. This article is part of the themed issue ‘New horizons for nanophotonics’.

On the theory of optical activity

1970 ◽  
Vol 314 (1517) ◽  
pp. 251-267 ◽  
Keyword(s):  
Optical Activity ◽  
Unique Feature ◽  
Rotation Angle ◽  
Scattering Matrix ◽  
Dipole Approximation ◽  
Translation Invariance ◽  
Group Model ◽  
Independent Group ◽  
Coupled Oscillator ◽  
Previous Series

The scattering matrix techniques developed in a previous series of papers (Atkins & Barron 1968 a , b ) are applied to the problem of formulating a theory of optical activity on the basis of Kirkwood’s independent group model. We restrict ourselves to the case of non-degenerate subsystems interacting in the dipole approximation, though those restrictions are convenient simplifications, not essential features. Retardation effects are explicitly evaluated and shown to be negligible over relevant intramolecular distances. The translation invariance of the theory is demonstrated. The unique feature of the theory is that unlike previous theories it is developed without reference to the Rosenfeld equation for the rotation angle. Furthermore, it provides a physically appealing interpretation of the ‘coupled oscillator’ terms in the expression.

Coupled-dipole approximation: predicting scattering by nonspherical marine organisms

1991 ◽  
Author(s):  
Patricia G. Hull ◽  
Arlon J. Hunt ◽  
Mary S. Quinby-Hunt ◽  
Daniel B. Shapiro
Keyword(s):  
Dipole Approximation ◽  
Marine Organisms ◽  
Coupled Dipole Approximation

An atomistic-electrodynamics theory for the optical response of periodic lattices of metallic nanoparticles in the quantum size regime

2017 ◽  
Vol 31 (24) ◽  
pp. 1740001 ◽  
Author(s):  
Vassilios Yannopapas
Keyword(s):  
Metallic Nanoparticles ◽  
Three Dimensional ◽  
Theoretical Method ◽  
Scattering Matrix ◽  
Dipole Approximation ◽  
Metal Nanoparticle ◽  
Point Matching ◽  
Periodic Arrays ◽  
Quantum Size ◽  
Macroscopic Electrodynamic

We present a new theoretical method for calculating the optical properties of periodic arrays of metallic nanoparticles whose dimensions are in the quantum-size limit and cannot, therefore, be described by macroscopic electrodynamic theory based on Maxwell’s equations. In the first stage, the method calculates the scattering matrix for a single metal nanoparticle described as a polyhedral cluster of atoms, via a discrete-dipole approximation/point-matching technique. The resulting scattering matrix is incorporated into a layer-multiple-scattering technique which allows the modeling of two- and three-dimensional nanostructures containing very small metal nanoparticles. The method is demonstrated for square arrays of silver nanoparticles with radii below 2 nm and the corresponding results are compared against classical local and nonlocal electrodynamic approaches.

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