# Light scattering by dielectric bodies in the Born approximation

## TL;DR

This paper develops a Born series approach for light scattering by dielectric bodies with step boundaries, deriving formulas for specific geometries and validating results with numerical methods.

## Contribution

It introduces a Born approximation framework for dielectric scattering with explicit formulas and Green functions for 2D cylinders, enhancing analytical tools in near-field optics.

## Key findings

- Green function for 2D dielectric cylinder derived
- Formulas for scattering by two parallel cylinders obtained
- Polar diagram matches numerical calculations

## Abstract

Light scattering is one of the most important elementary processes in near-field optics. We build up the Born series for scattering by dielectric bodies with step boundaries. The Green function for a 2-dimensional homogeneous dielectric cylinder is obtained. As an example, the formulas are derived for scattered field of two parallel cylinders. The polar diagram is shown to agree with numerical calculation by the known methods of discrete dipoles and boundary elements.