Contents

# Contents

## Idea

The amplitude of a wave is a measure for its maximal change with space and time.

## Definition

For $n \in \mathbb{N}$ and $\mathbb{R}^n$ the corresponding Cartesian space, a plane wave is a function $\mathbb{R}^n \to \mathbb{C}$ of the form

$\vec x \mapsto A e^{-2 \pi i \vec k \cdot \vec x} \,.$

Here $a \in \mathbb{C}$ is the amplitude of the plane wave (while $\vec k$ s its wave vector).

Created on November 6, 2017 at 11:18:50. See the history of this page for a list of all contributions to it.