* <math>( \mathbf{ \hat{u}_{\|}, \hat{u}_{\perp}, \hat{k} } )</math> representing the incident parallel polarization vector, incident perpendicular polarization vector and incident propagation vector, respectively.
* <math>( \mathbf{ \hat{u}_{\|}^', \hat{u}_{\perp}^', \hat{k}^' } )</math> representing the reflected parallel polarization vector, reflected perpendicular polarization vector and reflected propagation vector, respectively.* <math>( \mathbf{ \hat{u}_{\|}^{''}, \hat{u}_{\perp}^{''}, \hat{k}^{''} } )</math> representing the transmitted parallel polarization vector, transmitted perpendicular polarization vector and transmitted propagation vector, respectively.
[[File:reflect.png]]
The reflected unit vectors are found as:
:<math> \mathbf{ \hat{k}' = \hat{k} - 2(\hat{k} \cdot \hat{n}) \hat{n} } </math>Â :<math> \mathbf{ \hat{u}_{\perp}' = \hat{u}_{\perp} } </math>Â :<math> \mathbf{ \hat{u}_{\|}' = \hat{u}_{\perp}' \times \hat{k}' } </math><!--[[File:frml2.png]]-->
The transmitted unit vectors are found as: