- #1
EmilyRuck
- 134
- 6
Hello!
Let a plane wave propagate towards the -y direction. It is normally incident upon the plane (x,z) (whose normal unit vector is the y-direction unit vector, \mathbf{\hat{u}}_y): the plane represents the interface between the free space (in y > 0) and a general lossy medium (in y < 0).
We can say that, in general, for y < 0
E_z = - \eta H_x
E_x = \eta H_z
where \eta \neq \eta_0 (\eta_0 is the free-space wave impedance); \eta is a complex quantity which considers the losses of the medium.
This is obtained from Maxwell and Helmholtz equations. But what could happen if the plane wave is not normally incident upon the plane (x,z)?
Which field components will remain and propagate in the y < 0 region? And can we say that the interface has the boundary condition
\mathbf{\hat{u}}_y \times \mathbf{E} = \eta \mathbf{\hat{u}}_y \times (\mathbf{\hat{u}}_y \times \mathbf{H})
?
Why only the tangential components of the field are involved in these conditions?
Thank you for having read!
Emily
Let a plane wave propagate towards the -y direction. It is normally incident upon the plane (x,z) (whose normal unit vector is the y-direction unit vector, \mathbf{\hat{u}}_y): the plane represents the interface between the free space (in y > 0) and a general lossy medium (in y < 0).
We can say that, in general, for y < 0
E_z = - \eta H_x
E_x = \eta H_z
where \eta \neq \eta_0 (\eta_0 is the free-space wave impedance); \eta is a complex quantity which considers the losses of the medium.
This is obtained from Maxwell and Helmholtz equations. But what could happen if the plane wave is not normally incident upon the plane (x,z)?
Which field components will remain and propagate in the y < 0 region? And can we say that the interface has the boundary condition
\mathbf{\hat{u}}_y \times \mathbf{E} = \eta \mathbf{\hat{u}}_y \times (\mathbf{\hat{u}}_y \times \mathbf{H})
?
Why only the tangential components of the field are involved in these conditions?
Thank you for having read!
Emily