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

Abstract

Longwave properties of the orientation averaged Mueller scattering matrix for particles of arbitrary shape. I. Dependence on wavelength and scattering angleThe coupled dipole approximation is applied to the calculation of the scattering matrix of an arbitrary particle. Both isotropic and anisotropic dipoles are used in the calculations. The forms of the matrices obtained for several types of scatterers are found to be in exact agreement with those predicted by symmetry. The method is tested quantitatively by comparison with Mie predictions for solid and coated spheres and good agreement is observed. This comparison is also used to establish appropriate magnitudes for anisotropic dipolar polarizabilities.

Theory of Localized Plasmons for Multiple Metal Nanostructures in the Random Phase Approximation

“…The BEM has been also widely used to calculate the electromagnetic fields from multiple metal nanostructures [30,42]. In the BEM, the induced scalar and vector potentials are used to calculate the electromagnetic fields from multiple metal nanostructures, which is similar to our method.…”

“…Several methods to numerically calculate the electromagnetic fields from multiple metal nanostructures have been developed such as the discrete dipole approximation (DDA) method [42,43], the boundary element method (BEM) [30,44], the finite-difference time-domain (FDTD) method [45,46].…”

Polarized light scattering from sickle hemoglobin polymers

“…24 Several authors have contributed to the development of this theory. 21,[25][26][27] The particle is treated as an ensemble of point polarizable groups. Each point polarizable group acts like a single dipole.…”

Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and a discrete dipole approximation

“…The dipoles interact by means of their electric fields, 19,20 and the DDA is also sometimes referred to as the coupled dipole approximation. 21 The theoretical base for the DDA, including Shape of a mature RBC and its orientation with respect to the incident radiation. xyz is a laboratory reference frame and x′y′z′ is a reference frame tied to the RBC (z′ is the axis of symmetry); inc and sca are propagation vectors for incident and scattering radiation respectively.…”