Analytic model for light guidance in single-wall hollow-core anti-resonant fibers

Abstract

We report an analytic model for quantitatively calculating the transmission attenuation of single-wall hollow-core anti-resonant fibers. Our calculations unveil the light leakage dependences on azimuthal angle, polarization, and geometrical shape and have been examined in a variety of fiber geometries. Based on our model, a simple and clear picture about light guidance in hollow-core lattice fibers is presented. Formation of equiphase surface at fiber's outermost boundary and light emission ruled by Helmholtz equation in transverse plane constitute the basis of this picture. Using this picture, we explain how the geometrical shape of a single-wall hollow-core fiber influences its transmission properties.

Semi-analytical model for hollow-core anti-resonant fibers

“…The purpose is to simplify mathematical treatments and to highlight physics underneath the light leakage process. Detailed derivation can be found in our recent paper [31]. Below, this approximate method will be compared with precise calculation and simulation in several ARF structures.…”

“…Searching complex effective index and approximately estimating electric field amplitude at the outermost boundary can be done by using the standard eigenvalue-finding algorithm in this new slab structure [31,32]. Section Leaky Mode in M-type Slab Waveguide has described this method.…”

“…In this paper, we give a detailed description of our recentlydeveloped semi-analytical method [31]. Its capability of quantitatively calculating light transmission properties of HC-ARFs is manifested in the search of better-performance ARF.…”

Guiding 2.94 μm using low-loss microstructured antiresonant triangular-core fibers

“…The thickness t 2 of the supporting webs is constrained by t 2 = 2t 1 due to fabrication requirements. It has been shown recently that a core with a polygon shape will have lower guiding losses as the number of the polygon sides decreases [14]. Hence, one can conjecture that our fiber would have lower losses in comparison to another one with a hexagonal core, for instance.…”

“…These fibers have wide transmission windows, but with higher losses in comparison to the PBG fibers. Also, adding more layers to the cladding has small influence on decreasing the fiber-losses [14]. In recent years, a great deal of effort has been dedicated to suppress dramatically the losses of AR-HCF far beyond that of PBG fibers, by using multi-non-concentric capillary tubes [15].…”