Application of the Lagrange-Souriau form method to the case of source-free electromagnetic field

TL;DR

This paper demonstrates the application of the Lagrange-Souriau form method to source-free electromagnetic fields, providing detailed calculations to evaluate its effectiveness compared to traditional approaches.

Contribution

It applies the Lagrange-Souriau form method to electromagnetic fields, offering detailed computational procedures and data for comparison with conventional methods.

Findings

The method successfully describes source-free electromagnetic fields.

Detailed calculations validate the computational capabilities of the approach.

Provides data for comparison with traditional electromagnetic field descriptions.

Abstract

The recent method of the description of classical fields in terms of Lagrange-Souriau form is applied to the case of source-free electromagnetic field in order to check its computational capabilities. The relevant calculations are represented in all details and yield a useful data for comparisons of the method with more usual approaches in this simple and transparent case.