A rectangular hollow metal waveguide has dimensions $a=2.29 \mathrm{~cm}$ and $b=1.02 \mathrm{~cm}$. Microwave power at $10 \; \mathrm{GHz}$ is transmitted through the waveguide in the $T E_{10}$ mode.
- Calculate the cut-off wavelength and the guide wavelength for this mode.
- What are the other (TE or TM) modes that can propagate through the waveguide?
- If $a=b=2.29 \mathrm{~cm}$, What are the modes which can propagate through the waveguidet?