Beam-propagation analysis of optical fibres by alternating direction implicit method

Abstract
The alternating direction implicit (ADI) method is applied to the analysis of three-dimensional optical fibre waveguides. It is numerically demonstrated that the ADI method offers higher computational efficiency and a larger propagation step length, as compared with the conventional beam propagation method which uses fast Fourier transformation. The guided-mode transmission of coupled offset fibres is calculated using a transparent boundary condition.

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