An integral method to compute guided modes of an optical coupler in the vectorial case

A local boundary condition coupled to a finite element method to compute guided modes of optical fibres under the weak guidance assumptions

“…Examples of refractive graded-index pro"le, given by equation (62) propagation constants of the mode of each "bre increases when d/a decreases. These results are in perfect agreement with those obtained in [3] from computating Maxwell equations by an integral method.…”

“…The robustness and e$ciency of this class of methods for computing guided modes have been proved. Indeed, it has been used for various optical structures, such as single optical "bres [14,12] and optical couplers [3,8,9,13]. However, the obtained equations are non-linear with respect to the propagation constants, in contrast with the linearity of the original eigenvalue problem.…”

Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems

“…(9) applied on a circle located at one wavelength from either one of the two cores (see Fig. 7) are in perfect agreement with those obtained by an integral method [5] (with a relative error less than 1%).…”