Discrete Parametric Oscillation and Nondiffracting Beams in a Glauber-Fock Oscillator

TL;DR

This paper demonstrates how to control diffraction in a Glauber-Fock oscillator, designing waveguide arrays that support nondiffracting light beams and predicting discrete parametric oscillation phenomena.

Contribution

It introduces an exact analytical family of nondiffracting solutions and predicts discrete parametric oscillation in the Glauber-Fock oscillator.

Findings

Design of waveguide arrays with zero diffraction

Existence of exact nondiffracting localized solutions

Prediction of discrete parametric oscillation phenomena

Abstract

We consider a Glauber-Fock oscillator and show that diffraction can be managed. We show how to design arrays of waveguides where light beams experience zero diffraction. We find an exact analytical family of nondiffracting localized solution. We predict discrete parametric oscillation in the Glauber-Fock oscillator.