Absorption spectrum of clusters of spheres from the general solution of Maxwell's equations. The long-wavelength limit

Calculation of total cross sections of multiple-sphere clusters

“…Cext Cext i=l (24) Alternatively, the extinction cross section of the cluster can be obtained from the single scattered-field expansion given in Eq. (18) (27) where 6 is the Kroneker delta function.…”

Computational Approaches in Optics of Fractal Clusters

“…The fact that higher multipolar modes must be taken into account when the interacting monomers are close to each other was noted by Gerardy and Ausloos, 65 Sansonetti and Furdyna 67 and Claro. 66,72,73 As was mentioned in Section 2.1.1, the point dipole approximation is inadequate for description of touching spheres.…”

“…Let the radius of the real monomers that can be seen experimentally be R exp , and the distance between two neighboring monomers be a exp ; for touching spheres, a exp /R exp = 2. However, it was shown both theoretically 65,66 and experimentally 67 that the CDE (4) with a exp /R exp = 2, α given by (15) and (16), a = a exp and R m = R exp yields incorrect results. The reason for this is that the dipole field generated by one monomer inside the other one is not homogeneous; it is much stronger near the point where the monomers touch than in the centers of the neighboring monomer.…”

“…65,66,[72][73][74][75][76][77][78][79] We will refer to this approach as to the coupled multipole method. The essence of this method is to expand the EM field inside each sphere, and the field scattered by each sphere, in vector spherical harmonics, and to match the boundary condition on all surfaces of discontinuity.…”

Coherently tunable third-order nonlinearity in a nanojunction

“…From general considerations, it is clear that C ilm obey a system of linear equations which, in the quasistatic limit, was obtained in [14] and simplified in [15]. In general, this set of equations has the form…”