提出了基于二维光子晶体的具有偏振选择功能的横电(TE)和横磁(TM)波三等分功率分配器,功分器结构构建于正方晶格的十字形光子晶体波导中。利用有限元法计算结构的性质,利用Nelder-Mead算法进行了参数优化。结果表明,在输入通道引入不同的偏振选择缺陷,可使功分器具有偏振选择功能。对于TE功分器,TE波能够进入并在其中传输,TM波则不能进入;对于TM功分器,情况则刚好相反。在波导的十字交叉区域引入功率控制缺陷,可使各输出端功率相等。合理选择参数,TE和TM功分器的总传输效率分别可达99.48%和95.53%。波长扫描发现两种功分器都可工作在相对较大的波长范围内。 A transverse power (TE) and transverse (TM) wave power divider with polarization selection based on two-dimensional photonic crystals is proposed. The power divider structure is built in the cross-shaped photonic crystal waveguide. The finite element method is used to calculate the properties of the structure, and the parameters are optimized by Nelder-Mead algorithm. The results show that introducing different polarization selection defects in the input channel can make the power splitter have polarization selection function. For the TE splitter, the TE wave can enter and transmit in it, and the TM wave can not enter; for the TM splitter, the situation is just the opposite. The introduction of power control defects in the cross-waveguide area, the output power can be equal. Reasonable choice of parameters, TE and TM power splitter total transmission efficiency of up to 99.48% and 95.53%. Wavelength scanning found that both power splitters can work in a relatively large wavelength range.