Optical Costas loop: pull-in range estimation and hidden oscillations

TL;DR

This paper analyzes the optical Costas loop's mathematical model, estimating its pull-in range through analytical and numerical methods, and discusses the challenges posed by hidden oscillations in the phase space.

Contribution

It provides the first detailed estimation of the optical Costas loop's pull-in range and highlights the difficulties in numerical analysis caused by hidden oscillations.

Findings

Pull-in range estimated analytically and numerically

Hidden oscillations complicate numerical analysis

Discussion of phase space dynamics

Abstract

In this work we consider a mathematical model of the optical Costas loop. The pull-in range of the model is estimated by analytical and numerical methods. Difficulties of numerical analysis, related to the existence of so-called hidden oscillations in the phase space, are discussed.