Applying tiling and pattern theory in the design of hollow-core photonic crystal fibers for multi-wavelength beam guidance

TL;DR

This paper introduces a novel design method for hollow-core photonic crystal fibers using tiling and pattern theory, enabling multi-wavelength guidance suitable for high-power laser applications.

Contribution

It applies tiling and pattern theory to create fiber claddings supporting multiple wavelength bandgaps, a new approach in fiber design.

Findings

Supports multiple harmonic wavelengths in a single fiber design

Potential for high power laser beam delivery

Innovative use of 2-uniform tiling in fiber cladding

Abstract

We show how to apply tiling and pattern theory in the design of hollow-core photonic crystal fibers and guide light in multiple bandgaps. By combining two different glass apexes in a single [$3^6$;$3^2$.$4.3.4$] 2-uniform tiling, transmission regions with fundamental, second and third harmonic wavelengths are supported. This cladding design may also be an excellent candidate for high power beam delivery of Er/Yb, Nd:YAG and Ti:Sapphire laser sources.