Abstract
A finite element method with artificial transmitting boundary incorporated is firstly applied for acousto-optic tunable filters (AOTF) with weighted coupling. Here, two kinds of weighting function are considered, one is Cosine function, the other is Gaussian function. And the numerical results are shown for AOTF with a tapered acoustical directional coupler with different weighing function on a LiNbO<sub>3</sub> substrate. Through comparison, the optical filter responses of the TE-TM mode conversions of AOTF with Gaussian weighting function are better than AOTF with Cosine weighting function. The results are in good agree with others, which illustrates this method is useful in calculation on AOTF.
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