An electromagnetic uniform plane wave propagates in some lossy medium at 100MHz. The medium has the following properties: conductivity ? = 0.304 S/m, relative permittivity ?$_r$ = 10, and permeability ? = ?$_0$. The wave travels in the positive z direction, and is linear polarized in x direction. The magnetic field of the wave has an amplitude of 60 (mA/m) at t = 0 and z = 0.
From the information above the magnetic field H in time domain can be expressed in a general form as
$\bf{H} = \hat{y}H_{yo}e^{-?z}cos(?t - ?z)$
(a) Does the fields attenuate as they travel down the z axis? What is the property of the media that makes the attenuation?
(b) Determine the attenuation factor ?.
(c) If the wave were in a lossless medium, the propagation velocity $v_p$ can be solely determined by ?$_r$, can the velocity of this wave be so determined? This question prompts you to examine how the propagation velocity and phase constant depend on the properties of the medium.
