WAVEGUIDES yx we have Ez Ey z Hx t zEyxEx z Ez x zExyEy x Ex y Hz t Ex y zE xHyH Hy z x Hz y jzHy Hz x y jzHx Hz x 5 2 Hx y 06 7 zx xExz22 Hz y 9 10 x yyz2 ID: 455118
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WAVEGUIDES yx , we have Ez Ey z Hx t zEyxEx z Ez x zExyEy x Ex y Hz t Ex y zE xHyH Hy z x Hz y + jzHy Hz x y -jzHx Hz x (5) - 2 - Hx y = 0(6) (7) zx xExz2-2 Hz y (9) (10) x yyz2-2 Hz x (12) Hz x (13) Hz y (14) = 0(15) - 3 - 2Hz y2 z2-2z b If the cross section of the waveguide is a rectangle, we have a rectangular waveguide and theHeAeBeCeDejzjxjxjyjyzxxyy EeAeBeCeDejzjxjxjyjyzxxyy eAeBeCeDejzjxjxjyjyzxxyy HHexycoscos(20) EHexysincos(21) Hexycossin(22) - 4 - yb xyz2222 (24) mode will not propagate unless f is greater than f. Obviously, different modes willThe transverse magnetic modes for a general waveguide are obtained by assuming H =0. By 2Ez y2 z2-2z - 5 -EeAeBeCeDejzjxjxjyjyzxxyy yb EEesinsin xHy z - 6 - gTEcff 122 cff22 PEH*z sin(35) Eab