# Dispersion relation for transverse waves in a linear chain of particles

## TL;DR

This paper analyzes wave propagation in an infinite linear chain, establishing that the dispersion relation for transverse waves differs from that of longitudinal waves, highlighting unique wave behaviors.

## Contribution

It provides a detailed derivation of the dispersion relation for transverse waves in a linear chain, revealing differences from longitudinal wave relations.

## Key findings

- Dispersion relation for transverse waves is derived.
- Transverse wave behavior differs from longitudinal waves.
- Highlights unique wave propagation characteristics.

## Abstract

The process of wave propagation in an infinite linear chain is analyzed. Established, that dispersion relation between the angular frequency and the wave number for transverse waves differs from similar dependencies for longitudinal.

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Source: https://tomesphere.com/paper/1704.03374