Transmission formula and analysis of TM wave in 1-D photonic crystal

In order to obtain transmission formula of TM wave in 1-D photonic crystal,the characteristic matrix and the reflection and transmission coefficients of TM wave in dielectric layer were deduced based on the transfer matrix method and the boundary conditions of electromagnetic wave. The results show that the reflection and transmission coefficients of TM wave converted from the reflection and transmission coefficients of TE wave were not correct. And then, the deduced reflection and transmission coefficients of TM wave were analyzed. The transmittance and reflectance of TM wave intensity satisfies the law of energy conservation. Reflection coefficient formula of TM wave can not only reflect the relationship between the number of reflection wave and incident wave, but also reflect the phase relationship between the reflection wave and incident wave TM wave reflection coefficient formula can reflect the reflection wave and incident wave number and the phase relation. These results are helpful for study of transmission properties of TM wave in 1-D photonic crystal.