To see whether there is half-wave loss between the two main reflected beams from a light which is incident into a piece of plane-parallel transparent material, the Fresnel formula and vector decomposition and re-summation are utilized. Meanwhile, by judging whether their component of light field vector along p and s directions is respectively reverse and whether the amplitude ratios along each direction are equal, it is found that half-wave loss occurs only in two cases. The first case of half-wave loss is when the plane-parallel transparent plate is in homogeneous medium and light is oblique incident on the plate at Brewster angle. If the refraction indices of media in both sides of the plate is different, no half-wave loss occurs even under Brewster oblique incident. The second case of half-wave loss is that the light is normally incident into the plane-parallel transparent plate and the refraction index of the plate is maximum or minimum between the refraction indices of media in both sides of the plate. No half-wave loss is found in other cases.%为研究光经过透明平行平板后出现的两束主要反射光之间是否存在半波损失,利用菲涅耳公式和矢量分解再求和的方法,以它们在p、s方向的分振动是否分别反向,且各自方向上的振幅比相等作为判据进行分析,结果发现只在两种情况下有半波损失:第一种是透明平行平板处于均匀的透明媒质中,光以Brewster角斜入射透明平行平板时有半波损失；而透明平行平板处于两种折射率不同的环境媒质之间时不会有半波损失.第二种情况是光束正入射透明平行平板,且当透明平行平板的折射率与周围环境透明媒质的折射率相比处于最大或最小时,将有半波损失.其它情况则没有半波损失.
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