Self-Consistent Method Using a Propagator

Abstract

In Chap. 4, we derived the change in the polarizability of the sphere P, which was induced by the electric field from an electric dipole in the sphere S. In this derivation, the effect of multiple scattering was neglected, i.e., we neglected the changes in the polarizability of the sphere S induced by the above-mentioned change in the polarizability of the sphere P. The present chapter discusses the effect of multiple scattering for the more precise investigation of an optical near field. A propagator, i.e., the transfer function, is derived in Sect. 6. 1, in order to evaluate the electric field at an arbitrary position generated by a light source at another position. The result of this derivation is applied to collection-mode near-field optical microscopy in Sect. 6.2. It should be noted that these results can be applied, not only to the two spheres S and P, but also to arbitrarily shaped material objects. However, a long computation time is required to derive quantitative results in such numerical analysis.