Question

A plane wave is propagating along the x axis with an electric field phasor given by: $vec{E_i} = 50 sin(omega t - 5x) hat{y}$ V/m The medium is lossless with a permeability of $4mu_0$ and relative permittivity of 1. At x=0, the medium becomes lossy with $mu = mu_0$, $epsilon = 4epsilon_0$, $sigma = 0.1S/m$. a) Find the reflection coefficient at the boundary between the two media, the transmission coefficient and the standing wave ratio in the incident medium. b) Provide an expression for the phasor of the transmitted H field vector $vec{H_t}$ c) Calculate the time averaged Poynting vector in both regions (before and after x=0) d) What is the time average power density of the transmitted wave at a distance of 1m away from the interface?

          A plane wave is propagating along the x axis with an electric field phasor given by:
$vec{E_i} = 50 sin(omega t - 5x) hat{y}$ V/m
The medium is lossless with a permeability of $4mu_0$ and relative permittivity of 1.
At x=0, the medium becomes lossy with $mu = mu_0$, $epsilon = 4epsilon_0$, $sigma = 0.1S/m$.
a) Find the reflection coefficient at the boundary between the two media, the transmission
coefficient and the standing wave ratio in the incident medium.
b) Provide an expression for the phasor of the transmitted H field vector $vec{H_t}$
c) Calculate the time averaged Poynting vector in both regions (before and after x=0)
d) What is the time average power density of the transmitted wave at a distance of 1m away
from the interface?

A plane wave is propagating along the x axis with an electric field phasor given by:
vecEi = 50 sin(omega t - 5x) haty V/m
The medium is lossless with a permeability of 4mu0 and relative permittivity of 1.
At x=0, the medium becomes lossy with mu = mu0, epsilon = 4epsilon0, sigma = 0.1S/m.
a) Find the reflection coefficient at the boundary between the two media, the transmission
coefficient and the standing wave ratio in the incident medium.
b) Provide an expression for the phasor of the transmitted H field vector vecHt
c) Calculate the time averaged Poynting vector in both regions (before and after x=0)
d) What is the time average power density of the transmitted wave at a distance of 1m away
from the interface?

Added by Vicente B.

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