TABLE OF CONTENTS The Helmholtz Equation and Its Plane Wave Solutions/Propagation Constant, Wavelength, Phase Velocity, Intrinsic Impedance/Time-Average Poynting Vector/The Loss Tangent/Approximations for the Propagation Constant and Intrinsic Impedance/Wave Polarization/Group Velocity and Dispersion/Reflection and Transmission at an Interface/Crank Diagram/Standing Waves/Perpendicular and Parallel Polarizations/Laws of Reflection and Refraction/Fresnel Equations/The Brewster Angle
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| 5.1 Obtain a relationship between the space and time variations of an H-field in an unmagnetized medium characterized by ( ?, ?, ?). |
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| 5.2 Repeat Problem 5.1 for the E-field, assuming the absence of free charge. |
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| 5.3 Write ( 1) of Problem 5.2 for the special case when the F-field varies sinusoidally in time at an angular frequency ?. |
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| 5.4 In ( 1) of Problem 5.3, the complex number ? is known as the propagation constant. Evaluate ? for a lossless medium. |
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| 5.5 Power flows in the z-direction in a region characterized by ( ?, ?, ?). The corresponding E- and H-fields may be represented by vectors which always lie in an xy plane and are constant over each such plane. The paired fields constitute a plane wave. Given E = E x( z) e j?t a x, find the corresponding H-field. Show that E and H are mutually orthogonal and that power flows in the z-direction. |
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| 5.6 A plane wave... |
