Reflection and Refraction of Electromagnetic Radiation at a Multiple-phase Boundary

Reflection and Refraction of Electromagnetic Radiation at a Multiple-phase Boundary 

For N phases with N-1 boundaries, one can define N-1 matrices Mj that fully characterize the electromagnetic radiation at each phase boundary. These matrices are called characteristic matrices and are given by Eqs. (18) and (19) for s- and for p-polarized electromagnetic radiation, respectively  

The reflection and transmission coefficients for the whole stack can be extracted from the characteristic matrix of the whole stratified medium using the following relationships  

Quantitative analysis of the orientation of organic molecules at the metal electrode requires precise knowledge of the mean square electric field strength (MSEFS) at the metal surface and in the bulk of the thin-layer cavity. The tangential (with respect to the propagation direction) fields l/k(z) and Vk(z) at an arbitrary point within the stratified medium are related to the fields Ut and Vi at the first interface (z=Zi=0) by the following matrix  

Uk(z) and Vi (z) denote the tangential fields at an arbitrary point within the stratified medium. Matrix Nj is a reciprocal to matrix Mj described by Eqs. (18) and (19). The other terms of Eq. (26) are described by the following expressions for s-polarized light  

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