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Eng. Mohamed Ossama Ashour E-mail: vert4231@gmail.com
ELC 205B:Electric and Magnetic Fields Department of Electronics and Electrical Communications Engineering Title page Introduced By: Eng. Mohamed Ossama Ashour Second term 17-18
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Agenda Uniform Plane waves characteristics
In Lossy Medium (General, Low-Loss Dielectrics & Good Conductors) Phase & Group Velocities Poynting Vector Instantaneous and Average Energy Densities Sheet 2 Problems Extra Problems Contents page ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Bonus Problem ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Uniform Plane waves characteristics
Solution of wave equations ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Uniform Plane waves characteristics
Quantity Type of medium Attenuation constant Phase constant Wavelength 2π / β Impedance ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Uniform Plane waves characteristics
Quantity Type of medium Low-Loss ( ) Good Conductors ( ) Attenuation constant Phase constant Skin depth Impedance ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Phase & Group Velocities
Phase velocity The phase velocity, of a single-frequency plane wave is the velocity of propagation of an equi-phase wavefront. Group velocity A group velocity is the velocity of propagation of the wave-packet envelope (of a group of frequencies). No dispersion OR dispersion ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Poynting Vector Instantaneous poynting vector Average poynting vector
ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Poynting Vector Average poynting vector
Assuming the wave propagation direction to be in z-direction. ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Instantaneous and Average Energy Densities
ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Sheet 2 4) 5) ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Sheet 2 6) 7) ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Extra Problems 1) 2) 3) © Mohamed O. Ashour 2018
ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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Extra Problems 4) ELC 205B Second term 17-18 © Mohamed O. Ashour 2018
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