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

Zev Montz,Amiel A Ishaaya

doi:10.1038/s41598-020-76747-2

Abstract

We apply tiling and pattern theory in the design of hollow-core photonic crystal fibers for guiding light in multiple spectral bandgaps. By combining two different glass apexes in a single [36;32.4.3.4] 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.

Highlights

We apply tiling and pattern theory in the design of hollow-core photonic crystal fibers for guiding light in multiple spectral bandgaps
Pressurizing preform thin glass capillaries, which are centered on the vertexes of uniform tilings (Fig. 1, left column), creates high air-filling structures with apexes that are located at the center of the tilings and glass struts that are perpendicular to the tilings’ edges (Fig. 1, center column)
Bandgap formation in hollow-core photonic crystal fibers (HC-PCFs) is associated with three different resonators in the high air-filling structure: (a) apexes, (b) struts and (c) air h oles[22]

Summary

Introduction

We apply tiling and pattern theory in the design of hollow-core photonic crystal fibers for guiding light in multiple spectral bandgaps. It was theoretically demonstrated that HC-PBGFs can guide light in two well separated bandgaps suitable for TH guidance[10] Such cladding designs can guide the FM and TH Gaussian modes with low transmission losses; yet, it is unclear if phase-matching of these modes is feasible. Small core diameters are preferable for enhancing high harmonic generation, and it is necessary to investigate new approaches for designing HC-PCFs with small core diameters and low transmission losses at the FM and its higher h armonics[10] Such HC-PCFs could withstand high energy pulses that cannot be guided in solid core PCFs. Here we show for the first time, to the best of our knowledge, how to apply tiling and pattern theory[20] in the cladding design of high air-filling HC-PCFs and guide light in multiple spectral bandgaps. All of the modes, which are guided in separate bandgaps, have Gaussian distributions; their spatial overlap is exceptionally good

Methods

Results

Conclusion