An analytical approximation to measure the extinction cross-section using: Localized Waves

TL;DR

This paper derives a general expression for the optical theorem using Localized Waves, enabling analysis of extinction cross-sections for various propagation-invariant beams with practical measurement examples.

Contribution

It introduces a novel analytical approximation for the extinction cross-section based on Localized Waves, expanding the theoretical framework for optical measurements.

Findings

Derived a general expression for the optical theorem with Localized Waves

Validated the approach with examples using different input beams

Provided practical methods for measuring extinction cross-section

Abstract

We present a general expression for the optical theorem in terms of Localized Waves. This representation is well-known and commonly used to generate Frozen waves, Xwaves, and other propagation invariant beams. We analyze several examples using different input beam sources on a circular detector to measure the extinction cross-section.