Ex=0 Ey Ez rik B x=- ikga Besin (TX) are o Biz =ikoa Bosinta 11 B = Bcos ( TX ) T Consider the TE10 mode in a rectangular waveguide (two sides: a and b). (a) Starting from the E and B fields provided in the notes (page 3-14), calculate the time averaged Poynting vector (S) and energy density (u) and integrate them over the cross section of the waveguide. Calculate the ratio So (S) do / So (u) do, which is the velocity of the energy propagation in the waveguide. (b) Calculate the group velocity dw/dkg, and confirm that it is the same as the velocity of the energy propagation. Ex=0 Ey Ez rik B x=- ikga Besin (TX) are o Biz =ikoa Bosinta 11 B = Bcos ( TX ) T Consider the TE10 mode in a rectangular waveguide (two sides: a and b). (a) Starting from the E and B fields provided in the notes (page 3-14), calculate the time averaged Poynting vector (S) and energy density (u) and integrate them over the cross section of the waveguide. Calculate the ratio So (S) do / So (u) do, which is the velocity of the energy propagation in the waveguide. (b) Calculate the group velocity dw/dkg, and confirm that it is the same as the velocity of the energy propagation