The scalar two-dimensional finite differwnce time domain(FDTD) method is applied to the simulation of light field distribution of waveguide grating couplers.The mode patterns of TE0,TEI,TE2 and TE3 are obtained by using planar optical source as a stimulin . A few important problems are studied carefully ,such as: the effect on field distribution with different grating parameters and waveguide structures ,the absorbing boundary conditions etc. The procedure for calculating is compiled in MATLAB. The calculating results are analyzed carefully.
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