本文主要討論平面波在橫向等向性材料中傳播之行為，由平面波在異向性材料中傳播行為應滿足運動方程式的條件，首先推演波傳在橫向等向性材料中的波速和振幅向量，其次推演平面波在半平面橫向等向性材料及兩半平面材料不同但完美結合下傳播時的反射、折射係數之通式，而反射、折射角則由slowness surface求出。最後，討論平面波在特殊的橫向等向性材料中波傳之情形。

In this thesis, the propagation of plane waves in transversely isotropic materials is discussed. By satisfying the equations of motion of the propagation of plane waves in anisotropic material, the velocity and the amplitude vector of the wave propagation in transversely isotropic materials are first deduced. Second, the reflection and refraction coefficients of plane waves in either half-plane transversely isotropic materials or in the whole plane composed by two perfectly bonded half-planes with different transversely isotropic material are deduced. The reflection and refraction angles are obtained by the slowness surface. Finally, the propagation of plane wave in special transversely isotropic materials is discussed.

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