TransLine5B35D_11486524131. TEM wave along a Parallel-plate Transmission Line
conducting-plate y d x w z dielectric slab
At microwave frequencies, it can be fabricated inexpensively on a dielectric substrate using printedcircuit technology. Neglect the fringing fields at the edges of the plates. Consider a y-polarized TEM waves: E= yE y = yE o e γz E H= xH x = x o e γz EE3109 η Applied
Transmission Lines 1
Electromagnetics
For loss-less dielectric,
γ = jβ = jω ε η= ε
which satisfies the boundary condition At y = 0 and y = d,
Et = 0 Hn = 0
Ex = 0 Ez = 0 Hy = 0
EE3109 Applied Electromagnetics
Transmission Lines
2
To calculate the surface charges and surface currents, At y=0,
=y n
(lower plate)
= y At y=d, n
(upper plate)
y d
- +
D = y D = εE y = εEo e jβz ρ sl = n E ×H = y × H = ……