In this paper , a 3-D chiral photonic crystal with complete helical structure has been built and its energy band struc -ture has been calculated in multiple scattering method , which shows that such a structure can be used to realize the separation of shear wave around spin polarization .Then, a detailed research into various energy band pictures with incomplete helical structures has been conducted , among which incomplete helical structures with three cycles can be divided into spatial structures of A , B and C types .The structure of A type is still integrated with shear wave polarization while structures of A and B types can fully realize the separation of shear wave polarization , i.e.the separation of shear wave around spin polarization .Although the two -layered orthorhombic crystal structure obtained by translation is not A strictly -defined chiral helical structure , it can also be used to realize the separation of shear wave polarization .%构造了一种具有完整螺旋结构的三维手性声子晶体,并用层多重散射方法计算了其能带结构,发现这类结构可以实现横波左右旋偏振态的分离。然后详细考察了各种非完整螺旋结构的能带图。其中,具有三层周期的非完整螺旋结构可分为A、 B和C型空间结构,A型结构对应的横波偏振仍然简并,无法分裂,B和C型结构则可以实现完全相同的横波带分裂,即分离横波左右旋偏振态。通过平移实现的两层斜方晶体结构,尽管并不是严格意义上的手性螺旋结构,但同样可以实现横波的偏振分裂。
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