Abstract
The design of an N× N multi-mode interference coupler with weakly guiding condition is considered. Focus is put on the positioning of access waveguides. The best positions are obtained using eigenvectors overlapping requiring only a modal solver leading to a very short computation time as no propagation is required. Beyond its simplicity, it provides a clear physical understanding of the self-image theory when the multi-mode section is weakly guiding. This method computes in addition the tolerance on the access guide positioning. Results are in excellent agreement with those from literature.
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