Modal and coupling field analysis of optical fibers with circularly distributed multiple cores and a central core

Investigation of the supercell based orthonormal basis function method for different kinds of fibers

“…β 2 is now the eigenvalue of the matrix L, and the corresponding eigenvector of β 2 are the coefficients in Eq. (6). All the overlapping integrals about the localized HermiteGaussian functions can be analytically evaluated, and the decomposition coefficients of the dielectric constant can be analytically expressed with its Fourier transform, so the supercell based orthonormal basis function method is efficient as we expected.…”

“…The mode coupling properties of multi-core fibers with symmetric dielectric constant structure [2,[5][6][7] have been studied since the mid of 1980's. A multi-core profile is shown on the top panel of Fig.…”

“…Multi-core fibers had been investigated with some efficient methods in the mid of 1980's, such as point-matching model [5][6][7] based on the group theory, and some approximate methods [2] especially for twin-core fibers. With the approximation of weaklyguiding and weakly-coupling, the mode coupling can be explained clearly in the twin-core fibers, but the split of the degeneracy [2] will still be incomprehensive with these approximations.…”

<title>Analysis of the influence of core parameters on light propagation in ring-core optical fiber</title>

“…E=jE+E (1) where: Er jS a radial component of electric field intensity and E8 is an azimuth component of field intensity. We can calculate values ofthose components from formulas:…”

“…This report indeed is not the complete treatment of the theory determining light propagation in ring-core fibers. We have in plans of investigation over propagation of electromagnetic wave in multi-core laid symmetrically on circle optical fibres [1].…”