1. 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

2. 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

3. Bonus Problem
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

4. Uniform Plane waves characteristics
Solution of wave equations
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

5. 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

6. 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

7. 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

8. Poynting Vector Instantaneous poynting vector Average poynting vector
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

9. 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

10. Instantaneous and Average Energy Densities
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

11. Sheet 2 4) 5)
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

12. Sheet 2 6) 7)
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

13. Extra Problems 1) 2) 3) © Mohamed O. Ashour 2018
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018

14. Extra Problems 4)
ELC 205B Second term 17-18
© Mohamed O. Ashour 2018