A proof of non-existence of self-imaging phenomenon in non-coherent case

TL;DR

This paper proves that the self-imaging phenomenon cannot occur in non-coherent wave fields using Fourier transformation analysis.

Contribution

It provides a mathematical proof demonstrating the non-existence of self-imaging in non-coherent imaging systems.

Findings

Self-imaging does not occur in non-coherent wave fields.

Fourier transformation analysis is used to establish the proof.

The result clarifies limitations of non-coherent imaging techniques.

Abstract

The existing description of non-coherent wave field propagation in terms of Fourier transformation has made possible to prove non-existence of the self-imaging phenomenon for non-coherent images.