The multilayer media theory and the transmission matrix method are introduced in detail in Principles of Optics, which is a classic textbook for graduate students majoring in optics and physics. Due to the duality of time and space, in this paper, the propagated characteristics of light in the temporal multilayer media whose material parameters change with time is mainly expounded and the form of transmission matrix in the temporal multilayer media is deduced. Finally, by comparing the transmitted and reflected coefficients of temporally periodic multilayer media and spatially periodic multilayer media, the connection and difference between them are deeply discussed.