Topic #15. Plane wave in lossy media (p367-373) Sarfaraz Hakam

Plane Waves in Lossy Media: The source free wave equation in lossy media is

Wave number : (complex number)

Complex permittivity:

Equivalent Conductivity:

Propagation constant: (complex number)

where and are the real and imaginary part of the propagation constant.

The source free wave equation in lossy media is

For uniform plane wave propagating in Z direction:

(polarized in x direction)

Propagation Factor

Attenuation Factor

Attenuation constant

Phase factor

Phase Constant

Topic #15. Plane wave in lossy media (p367-373) Sarfaraz Hakam

Low Loss Dielectrics: is a good but imperfect insulator with non-zero equivalent conductivity such that or

Propagation Constant

Attenuation constant

Phase Constant

Intrinsic Impediance

The phase velocity

Good Conductor: is a medium for which .

Propagation Constant

Topic #15. Plane wave in lossy media (p367-373) Sarfaraz Hakam

Intrinsic impedance:

The phase velocity

The Wavelength of a plane wave in a good conductor is:

Skin Depth or Depth of penetration: (It is the distance through which the amplitude of a traveling plane wave decreases by a factor of e-1 )

In good Conductor: