A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability 100 and relative permittivity 4 (Figure). The wave has an electric field of 1 V/meter (rms). Find the average Poynting vector inside the material.
Question 2.5.7: A uniform plane wave is normally incident from air on an inf...
\begin{aligned}&\eta_{1}=\sqrt{\frac{\mu_{r_{1}}}{E_{r_{1}}}}(120 \pi)=120 \pi \\&\eta_{2}=\sqrt{\frac{\mu_{r_{2}}}{E_{r_{2}}}}(120 \pi)=600 \pi\end{aligned}
Reflection coefficient.
\begin{aligned}\Gamma &=\frac{\eta_{2}-\eta_{1}}{\eta_{2}+\eta_{1}}=\frac{600 \pi-120 \pi}{600 \pi+120 \pi}=\frac{2}{3} \\P_{\text {argi }} &=\frac{E_{i}^{2}}{\eta_{1}}=\frac{1}{120 \pi} \\\frac{\left(P_{{a\nu g }}\right) i}{\left(P_{ {a\nu g }}\right) i} &=1-(\Gamma)^{2}=1-\left(\frac{2}{3}\right)^{2}=\frac{3}{9} \\\left(P_{{a\nu g }}\right) t &=\frac{5}{9} \times \frac{1}{120 \pi} \vec{a}_{2}=1.47 \vec{a}_{2} m_{x y} / m^{2}\end{aligned}Related Answered Questions
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