nLab
amplitude

Contents

Idea

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

Definition

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

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

Here aa \in \mathbb{C} is the amplitude of the plane wave (while k\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.