# An introduction to spatial dispersion: revisiting the basic concepts

**Authors:** Paul Kinsler

arXiv: 1904.11957 · 2021-02-15

## TL;DR

This paper clarifies the fundamental mechanisms behind spatial dispersion in wave propagation, emphasizing geometry, structure, and dynamics as key factors for understanding and naming spatially dispersive phenomena.

## Contribution

It revisits and clarifies the basic concepts of spatial dispersion, proposing a clear framework based on geometry, structure, and dynamics for understanding these phenomena.

## Key findings

- Identifies three mechanisms causing spatial dispersion: geometry, structure, and dynamics.
- Proposes a standardized way to understand and name spatially dispersive phenomena.
- Clarifies the role of spatial properties in wave propagation behavior.

## Abstract

I describe three ways that the spatial properties of a wave propagation medium can cause dispersion, and propose that they should form the basics for correctly understanding and naming phenomena described as "spatial dispersion". In particular, I emphasise the specific spatial properties which generate the resulting dispersive -- i.e. spatially dispersive -- behaviour. The mechanisms are geometry, structure, and dynamics.

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Source: https://tomesphere.com/paper/1904.11957