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A numerical approach based on the finite element -artificial transmitting boundary method is newly formulated for suppressing the sidelobe of integrated acousto-optic tunable filters with weighted coupling on a piezoelectric substrate.We use cosine and Gaussian weighting functions and obtained relevant response curves of TE-TM mode conversion efficiency. The result shows that the sidelobe can be efficiently suppressed by transforming the weighting function.Conversion of Gaussian weighting function is better than the one of cosine weighting function. The result is agreed with other references.

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