Consider a square waveguide, with transverse dimensions a = b = 10.668 mm. The waveguide is filled with a lossless, non-magnetic dielectric having dielectric constant e, = 2. We wish to use this waveguide to propagate a wave at frequency f = 20 GHz. Which propagation modes can be sustained by this waveguide at 20 GHz? Explain (i) in detail how you arrive at the answer. (ii) ] Calculate the phase velocity vpmn for all the allowed modes at f= 20 GHz. (iii) Udentify which mode hos the bighest groun velocity 1 ond colculote the volue

Consider a square waveguide, with transverse dimensions a = b = 10.668 mm. The waveguide is filled with a lossless, non-magnetic dielectric having dielectric constant e, = 2. We wish to use this waveguide to propagate a wave at frequency f = 20 GHz. Which propagation modes can be sustained by this waveguide at 20 GHz? Explain (i) in detail how you arrive at the answer. (ii) ] Calculate the phase velocity vpmn for all the allowed modes at f= 20 GHz. (iii) Udentify which mode hos the bighest groun velocity 1 ond colculote the volue