Diffraction of light by a nanowire

TL;DR

This paper presents a comprehensive analytical solution for light diffraction by an infinite nanowire, incorporating conductivity effects and providing detailed scattering intensity patterns across angles and frequencies.

Contribution

It introduces a novel formulation using Bessel functions series expansion for electromagnetic scattering by a nanowire, including conductivity effects via complex wavenumber.

Findings

Scattering intensity varies with angle and frequency.

Derived a general formula for the averaged Poynting vector.

Numerical results demonstrate dependence on rod radius.

Abstract

A general scattering problem of a plane electromagnetic wave on an infinite cylindrical rod is formulated and solved in a form of Bessel functions series expansion. The conductivity account via Ohm law directly in Maxwell equation leads to complex wavenumber and hence the complex arguments of Bessel functions inside the cylinder. The general formula for averaged by period Pointing vector is derived. For numerical calculations asymptotics of Bessel functions are used. Dependence of scattered wave intensity as function of angle and frequency is presented for different values of the rod radius.