Extinction by the long dielectric needles

TL;DR

This paper compares electromagnetic wave extinction by long finite dielectric needles to infinite cylinders, proposing a renormalized Hankel function approach for accurate extinction calculations.

Contribution

It introduces a method using renormalized Hankel functions to accurately model extinction by finite dielectric needles based on infinite cylinder theory.

Findings

Renormalized Hankel functions improve extinction calculations.

Finite and infinite dielectric needles show comparable extinction behavior.

Method enhances modeling accuracy for finite dielectric structures.

Abstract

Electromagnetic wave extinction by the very long but finite dielectric needle is compared with that by the infinite dielectric cylinder for an oblique incidence of the electromagnetic wave. It is shown that the renormalized Hankel functions without the logarithmic terms should be used for the calculation of the extinction per unit length of the infinite dielectric cylinder to apply it for extinction calculations by the finite dielectric cylinder.