Assume a y-polarized uniform plane wave ( Ei, Hi) is incident at an angle of incidence theta(i) from medium 1 (εr1, μr1) on medium 2 (εr2, μr2) at x=0. Plot the instantaneous expressions of total fields E1(= Ei+ Er), H1(= Hi+ Hr), E2(=Et ),H2 (=Ht ) of the wave in media 1 and 2, respectively. Consider both parallel and perpendicular polarizations separately. Determine the Brewster angle for different cases. The parameter values will be provided from user-end.
- Taken a y-polarized uniform plane wave (Ei, Hi) is incident at an angle of incidence θi from medium 1 (εr1, μr1) on medium 2 (εr2, μr2) at x=0.
- Considered both cases of Perpendicular Polarization and Parallel Polarization.
- Made an app for plotting the instantaneous expressions of total fields E1 (=Ei + Er), H1 (= H1 + Hr), E2 (=Et), H2 (= Ht) of the wave in media 1 and 2, respectively.
- In the app, we can provide parameters values Ei0, ω, θi, εr1, μr1, εr2, μr2 from user end. It contains buttons for plotting E1(Ei + Er), H1(Hi + Hr), E2(Er) and H2(Hr) for both the cases.
- It also has a feature to calculate Brewster Angle which is a angle at which incident EM wave has zero reflection coefficient for both Perpendicular and Parallel Polarization.
In case of perpendicular polarization, the electric field is perpendicular to the plane of incidence and the magnetic field is parallel to the plane of incidence.
- For the above case, since the incident electric field, Ei is
- And the reflected electric field, Er is
- Then the total electric field in medium 1, E1 will be Ei+Er
- Similarly. since the incident magnetic field, Hi is
- And the reflected magnetic field, Hr is
- Then the total magnetic field in medium 1, H1 will be Hi+Hr
Plotting E1 and H1 in GUI
- Now, in medium 2 the transmitted electric field, Et is
- Then the total electric field in medium 2, E2 will be (E2=Et)
- Similarly, the transmitted magnetic field, Ht is
- Then the total magnetic field in medium 2, H2 will be (H2=Ht)
Plotting E2 and H2 in GUI
