Читать книгу Introduction To Modern Planar Transmission Lines - Anand K. Verma - Страница 221
Case#2: θ1 = θc
ОглавлениеFigure (5.5b) shows the case for θ1 = θc. The angle of refraction θ2 is obtained on substituting sinθ1 = sin θc in equation (5.3.3c):
(5.3.4)
Figure (5.5b) shows that the refracted wave travels along the interface x = 0+ in the y‐direction and no component of the refracted (transmitted) wave propagates in the medium #2. Equation (5.2.28a) also shows that for the TM‐polarized incident wave, the reflection coefficient is at the angle of refraction θ2 = π/2. It demonstrates that under the total reflection condition, occurring at the critical angle θ1 = θc, the interface behaves as a PEC for the TM‐polarized incident wave. However, equation (5.2.28b) provides also a transmission coefficient . It shows that the transmitted wave in the medium #2, confined at the interface, travels along the y‐axis at the interface x = 0+. The transmitted field components at an angle θ2 = π/2 in the medium #2 are given in equation (5.2.18).
In the case of the TE polarization of the obliquely incident wave, equation (5.2.27a,b) shows the reflection coefficient and transmission coefficient . In this case, the interface acts like a PMC. Again, the transmitted wave in the medium #2 propagates in the y‐direction at the interface x = 0+. It is seen from the field equation (5.2.10) for θ2 = π/2.
