Abstract
We present a theoretical method for analyzing radiation loss from surface roughness scattering in hollow-core photonic bandgap fibers (HC-PBGFs). We treat the scattering process as induced dipole radiation and combine statistical information about surface roughness, mode field distribution and fibre geometry to accurately describe the far-field scattering distribution and loss in fibers with an arbitrary cross-sectional distribution of air holes of any shape. The predicted angular scattering distribution, total scattering loss and the loss wavelength dependence are all shown to agree well with reported experimental data. Our method yields a simpler result than that obtained by more complex approaches and is to the best of our knowledge the first successful attempt to accurately describe roughness scattering in HC-PBGFs.
Highlights
Hollow-core photonic bandgap fibers (HCPBGFs) confine and guide light in an air core by means of an out-of-plane photonic bandgap
The many air-glass interfaces present within HC-PBGFs are intrinsically rough due to frozen-in surface capillary waves (SCWs), which are of thermodynamic origin
We have derived a theoretical method based on dipole radiation to describe light scattering from surface roughness in HC-PBGFs
Summary
Hollow-core photonic bandgap fibers (HCPBGFs) confine and guide light in an air core by means of an out-of-plane photonic bandgap. In all HC-PBGFs the microstructure is surrounded by a silica outer cladding, and in ARS experiments, an where is Boltzmann’s constant, 1 the glass transition temperature and 1 the surface tension This expression implies a logarithmic roughness autocorrelation which requires a low spatial frequency cut-off to make physical sense. For simplicity we will assume that the roughness frequencies below a given cut-off frequency 1 have all the same PSD value
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