Photonic band gap (PBG) dielectric fibers with hollow cores are being studied both theoretically Sticker and experimentally for use as laser driven accelerator structures.The hollow core functions as both a longitudinal waveguide for the transverse-magnetic (TM) accelerating fields and a channel for the charged particles.The dielectric surrounding the core is permeated by a periodic array of smaller holes to confine the mode, forming a photonic crystal fiber in which modes exist in frequency passbands, separated by band gaps.The hollow core acts as a defect which breaks the crystal symmetry, and so-called defect, or trapped modes having frequencies in the band gap will only propagate near the defect.
We describe the design of 2D hollow-core PBG fibers to support TM defect modes with high Set of 4 Mugs longitudinal fields and high characteristic impedance.Using as-built dimensions of industrially made fibers, we perform a simulation analysis of prototype PBG fibers with dimensions appropriate for speed-of-light TM modes.