Highly-complex optical signal generation using electro-optical systems with non-linear, non-invertible transmission functions

TL;DR

This paper introduces a method to generate highly complex optical chaos using electro-optic systems with non-linear transmission functions, enabling transformation of simple signals into broadband, high-dimensional chaos without delay or feedback.

Contribution

The study demonstrates a novel approach to produce complex optical chaos through static non-invertible non-linear functions, enhancing the complexity of signals in optoelectronic systems.

Findings

Increased complexity indices in optical signals

Transformation from low-dimensional to high-dimensional chaos

No delay or feedback needed for complex chaos generation

Abstract

We present a scheme whereby a static non-linear, non-invertible transmission function performed by the electro-optic Mach-Zehnder modulator produces highly complex optical chaos. The scheme allows the deterministic transformation of low-dimensional band-limited chaotic signals into much higher-dimensional structures with broadband spectra and without using any delay elements or feedback. Standard benchmark tests show that all the considered complexity indices are highly increased due to this transformation in a controlled fashion. This mechanism allows the design of simple optoelectronic delayed oscillators with extremely complex chaotic output.