Chapter 11: Problem 6
A uniform plane wave has electric field \(\mathbf{E}_{s}=\left(E_{y 0} \mathbf{a}_{y}-E_{z 0} \mathbf{a}_{z}\right) e^{-\alpha x} e^{-j \beta x} \mathrm{~V} / \mathrm{m} .\) The intrinsic impedance of the medium is given as \(\eta=|\eta| e^{j \phi}\), where \(\phi\) is a constant phase. \((a)\) Describe the wave polarization and state the direction of propagation. \((b)\) Find \(\mathbf{H}_{s} \cdot(c)\) Find \(\mathcal{E}(x, t)\) and \(\mathcal{H}(x, t) .(d)\) Find \(<\mathbf{S}>\) in \(\mathrm{W} / \mathrm{m}^{2} \cdot(e)\) Find the time-average power in watts that is intercepted by an antenna of rectangular cross-section, having width \(w\) and height \(h\), suspended parallel to the \(y z\) plane, and at a distance \(d\) from the wave source.
Short Answer
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Key Concepts
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