Question

A parallel plate waveguide is filled by a dielectric material of EF 4 & ul. 1. Define wave types mit C sin(max) e-72 (i) Hz jωμα aC1 cos(77%) e-ýz Hx = -j C sin(max) e-72 7 Hy = C4 cos(max.) (ii) {Ex cos(max) jωε EZ imac4 sin(max) e-72 -CA e-12 le-72 = Hy = C4e-2 < Parallel plate waveguide: wave (iii) propagating to +z direction > Ex T = jωε Cqe iz 2. Let a=1.5 cm. Find all the possible propagation modes at 17 GHz J(man) - w?ue for all the modes, m & the speed of light (c) is 3x108 m/s where y =

Answer 1

Given a palalle plate Waveguide With er-4, Mr=1 The separation between plates is la". a 471 direction G sin (min The wave is propagating in _ñiz 1) Ey= Csin/minta De chz Hz= -mil ci cos o( ) vwna --Tz Ha= - Juu Î Gisin (entum) e As the wave is propagating in 47! direction and also the Electric Field Component is wave propagating direction, not in that the wave type belongs to "TE" mode. "TE" acure type C Scanned with CamScanner

ůz » Hy = C4 cop mora) _tz En- + ñ e Ct car (mana) عيال _jiz. a Ez= jmt) (4 sin Wea As the wave is propagating in +z direction, and also the “Magnetic Field component" not in that direction, the wavetype is to 11 Thymodes belongs TM have type ŷz 3 ) Hy= C4 e _ớo z <E Ex= (4 e jwe As both Electric Field and Magnetic field direction in that not Components are "TEN" mode. the cavetype belongs to TEM have CS$canned with CamScanner type

2) Griven Q=1.5 cm f= F GHZ c= 3x108 mis mode in palallel Cutoff frequency for a plate Waveguide All the modes in Palallel plate Waveguide obelonge to TEM, To modes Cutoff flequency accurs at (for both TEM, TM modes ĝi MT) > W²ue j C Jure mm clue. } a m ma =) fc= 2a a (27 Jue) Jue. fca (C) m ㅋ (2a) Jurer Fol a TEM mode, cotoff flequency is zelo CSScanned with CamScanner

possible All the propagating modes are TEM, TE,,TMcoy T62, TM2, TE3, TM3 modes TM3 modes TEM, TE, , TM1, TE2, TM2, TE3, até 17GHZ are propagating CScanned with CamScanner