# Fresnel's equations in statics and quasistatics

## TL;DR

This paper explores how Fresnel's equations, traditionally used for wave reflection and transmission, can be applied in static and quasistatic contexts to simplify calculations like magnetic forces, extending classical methods.

## Contribution

It introduces a novel application of Fresnel's equations in statics and quasistatics, generalizing the classical image method for magnetic force calculations.

## Key findings

- Fresnel's equations are applicable in static and quasistatic regimes.
- A generalized image method for magnetic forces is proposed.
- Simplified calculations of magnetic interactions are demonstrated.

## Abstract

Fresnel's equations describe reflection and transmission of electromagnetic waves at an interface between two media. It turns out that these equations can be used in quasistatics and even statics, for example to straightforwardly calculate magnetic forces between a permanent magnet and a bulk medium. This leads to a generalization of the classical image method.