Chapter 3, Problem 3.19P

EXERCISE 1: Consider the waveguide of Example Calculate the phase constant, phase velocity and wave impedance for TE10 and TM11 modes at the operating frequency of 15 GHz. = 192.4 . For Answer: For TE10, B = 615.6 rad/m, u = 1.531 × 108 m/s, TE 529.4 rad/m, u = 1.78 x 10 m/s, TM = 158.8 Q. TM11, B Example 1: A rectangular waveguide with dimensions a = 2.5 cm, b = 1 cm is to operate below 15.1 GHz. How many TE and TM modes can the waveguide transmit? if the guide is filled with a medium characterized by σ = 0, &=4&o Hr = 1° Calculate the cutoff frequencies of the modes.

lossles 016 X= x+jB α= 0 B=w/ME Up= E = Free s space Mo M, E.Er K = Em² Cos(ut-132) az 2 = √μ =377 √ 6 <20 lossy auto WE ليا + B = w√ Me [√ 1+ (e) + 1] 0 Sp = = Mr B2= 사용 -42 we 333 ov+ jut E=Eme Cos/wt-Bz) az Good Conductor X = B = √TPMN 11 42 6√70 7 20 WE E=Eml Gos(wt-Bz) az

micro wave.