Continuous distribution of frequencies and deformed dispersion relations

TL;DR

This paper explores how a continuous frequency distribution in light sources affects interference patterns, revealing a new term due to finite coherence length that could help bound deformed dispersion relations.

Contribution

It demonstrates that finite coherence length introduces a novel interference term, offering a new method to investigate deformed dispersion relations.

Findings

Finite coherence length leads to a new interference term.

The new term provides a potential way to set bounds on deformed dispersion relations.

Continuous frequency distributions influence interference patterns in measurable ways.

Abstract

The possibilities that, in the realm of the detection of the so--called deformed dispersion relation, a light source with a continuous distribution of frequencies offers is discussed. It will be proved that the presence of finite coherence length entails the emergence of a new term in the interference pattern. This is a novel trait, which renders a new possibility in the quest for bounds associated with these deformed dispersion relations.