Dielectric losses in waveguides. A rectangular waveguide is filled with a lossy dielectric with relative permittivity εr = 2 and conductivity σd= 10-4 S/m. Assuming perfectly conducting walls, find:
(a) The attenuation constant in the waveguide at a frequency 1.5 times larger than the lowest cutoff frequency.
(b) The percentage of power loss per meter of the waveguide at f'fc = 2. Assume the power entering a section of the waveguide is Po and calculate the power loss as a percentage of this power.