Abstract
The supercell- based orthonormal basis method is proposed to investigate the modal properties of the Bragg fibers. A square lattice is constructed by the whole Bragg fiber which is considered as a supercell, and the periodical dielectric structure of the square lattice is decomposed using periodic functions (cosine). The modal electric field is expanded as the sum of the orthonormal set of Hermite-Gaussian basis functions based on the opposite parity of the transverse electric field. The propagation characteristics of Bragg fibers can be obtained after recasting the wave equation into an eigenvalue system. This method is implemented with very high efficiency and accuracy.
Highlights
At the beginning of the optical fiber progress, the ring fiber had been investigated by the transfer matrix method [l]
The supercell- based orthonormal basis method is proposed to investigate the modal properties of the Bragg fibers
A square lattice is constructed by the whole Bragg fiber
Summary
At the beginning of the optical fiber progress, the ring fiber had been investigated by the transfer matrix method [l]. All-dielectric waveguides have been introduced that confine optical light by means of ID or 2D photonic band gap [6,7,8] These new designs have the potential advantage that light propagates mainly through the empty core of a hollow waveguide, minimizing effects associated with material nonlinearities, absorption losses and sharp bending. The coaxial omniguide Bragg fiber, which combines some of the best features of the metallic coaxial cable and the dielectric waveguides, is an all-dielectric coaxial waveguide and supports a truly single mode in a low-index air core, which is very similar to the TEM mode of the metallic coaxial cable [2,3,4,5] It has a radially symmetric electric field distribution so that the polarization is maintained throughout propagation [4,9,10,11].
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