Conversion of any finite bandwidth optical field into a shape invariant beam

TL;DR

This paper presents a method to convert any finite bandwidth optical field into a shape-invariant beam with scalable transverse profiles by phase modulation, extending the applicability of non-diffracting fields.

Contribution

The authors introduce a quadratic phase modulation technique to transform finite bandwidth optical fields into shape-invariant beams with adjustable transverse scaling.

Findings

Enables transformation of finite bandwidth fields into shape-invariant beams

Extends the existence region of non-diffracting fields to unbounded domains

Provides a practical method for beam shaping in optical systems

Abstract

We discuss a method to transform any optical field, with finite frequency bandwidth, into a shape invariant beam with transverse scaling, dependent on the propagation distance. The method consists in modulating the field with a quadratic phase of appropriate curvature radius. As a particular application, we employ the method to extend the existence region of a finite non-diffracting field to an unbounded domain.