- Choose your own value of m and n where m>2 and n>2 and plot:
(a) the phase constant (beta) as a function of the signal frequency and the cutoff frequency corresponding to your choice of m and n. (So, create an array of signal frequencies that are equal to or greater than the cutoff frequency, and plot the phase constant against these frequencies. How does beta behave as the frequency increases?)
(b) the intrinsic wave impedance (eta_TE) as a function of the signal frequency and your choice of m and n.
(c) the phase velocity and the group velocity of the wave as a function of frequency (again, for your chosen value of m,n). What do you notice regarding the values of the phase and group velocities with respect to the velocity of the signal in the corresponding non-guided dielectric?
Steps 1-3 are to be completed for the same value of m and n. You choose m and n based on the condition stated above, m>2 and n>2.
- Assume lossy dielectric (sigma). Repeat steps (1)-(3) for the case of a lossy dielectric (add to the current Matlab file in such a way as setting sigma=0 gives you the lossless case)
- Create a new file (you can use the original file as a template) and repeat parts (1) through (5) for the TM fields for various choices of m,n.