Rectangular Waveguides

Transcription

1 Rtgulr Wvguids

2 Wvguids tt://

3 Uss To rdu ttutio loss ig rquis ig owr C ort ol ov rti rquis Ats s ig-ss iltr Norll irulr or rtgulr W will ssu losslss rtgulr

4 tt:// Rtgulr WG Nd to id t ilds oots o t wv isid t wvguid W ll id tt wvguids do t suort TM wvs

5 Rtgulr Wvguids: Filds isid Usig sors & ssuig wvguid illd wit losslss diltri tril d wlls o rt odutor, t wv isid sould o wr 0 0

6 T lig o t -oot ro wr w oti : ) ( ) ( ) ( ),, ( : Vrils Srtio o tod o Solvig 0 Z Z Y Y X X Z Y X 0

7 Filds isid t wvguid wi rsults i t rssios : Z Z Y Y X X Z Z Y Y X X Z Y() X() ) ( si os si os

8 Sustitutig Z Y() X() ) ( si os si os ) ( ) ( ) ( ),, ( Z Y X B B B B A A A A si os si os ild, Siilrl or t gti si os si os - dirtio : looig t t wv trvlig i ol I si os si os

9 Otr oots Fro Frd d Ar Lws w id t riig our oots: wr *So o w ow d, w id ll t otr ilds.

10 Mods o rogtio Fro ts qutios w olud: TM ( = =0) t rogt. T ( =0) trsvrs ltri I T od, t ltri lis o lu r rdiulr to t is o t wvguid TM ( =0) trsvrs gti, ists I TM od, t gti lis o lu r rdiulr to t is o t wvguid. rid ods i wi ll oots ists

11 TM Mod si A os A si A3 os A4 Boudr, oditios: 0 t 0 0 t 0, Fro ts, w olud: X() is i t or o si, wr =/, =,,3, Y() is i t or o si, wr =/, =,,3, So t solutio or (,,) is A A 4 si si Figur ro:

12 TM Mod Sustitutig si si wr o

13 TM Otr oots r o o o o si os os si os si si os 0 si si o

14 TM ods T d rrst t od o rogtio d idits t ur o vritios o t ild i t d dirtios Not tt or t TM od, i or is ro, ll ilds r ro. S lt Pul Flstd tt://

15 TM Cuto T uto rqu ours w vst: Ms o rogtio, vrtig is ttutd Progtio: Tis is t s w r itrstd si is w t wv is llowd to trvl troug t guid. or 0 t W 0 d W 0 d W

16 Cuto T uto rqu is t rqu low wi ttutio ours d ov wi rogtio ts l. (ig Pss) T s ostt os u, ttutio Progtio o od

17 Ps vloit d id T s vloit is did s Ad t itrisi id o t od is u u TM

18 Sur o TM ods Wv i t diltri diu Isid t wvguid / / u TM / u u / / / u

19 T Mod si B os B si B3 os B4 Boudr 0 t 0, 0 oditios: 0 t 0, 0 Fro ts, w olud: X() is i t or o os, wr =/, =0,,,3, Y() is i t or o os, wr =/, =0,,,3, So t solutio or (,,) is B B 3 os os Figur ro:

20 T Mod Sustitutig Not tt d ot ot ro us t ilds will ll ro. wr gi os os o

21 T Otr oots r o o o o si os os si os si si os 0 os os o

22 Cuto ttutio Progtio o od, T uto rqu is t s rssio s or t TM od u But t lowst ttil rquis r lowst us r or ro.

23 Doit Mod T doit od is t od wit lowst uto rqu. It s lws T 0 T ordr o t t ods g ddig o t disios o t guid.

24 Sur o T ods Wv i t diltri diu Isid t wvguid / / u T / u u / / / u

25 Vritio o wv id Wv id vris wit rqu d od T TM 0,

26 l: Cosidr lgt o ir-illd or X-d wvguid, wit disios =.86, =.06 ortig t 0G. Fid t uto rquis o ll ossil rogtig ods. Solutio: Fro t orul or t ut-o rqu u

27 Powr trsissio T vrg Potig vtor or t wvguid ilds is * * * P R R v wr = T or TM ddig o t od ˆ [W/ ] P v P v ds 0 0 dd [W]

28 Attutio i Loss wvguid W diltri isid guid is loss, d wlls r ot rt odutors, owr is lost s it trvls log guid. P v P T loss owr is Wr + d r t ttutio du to oi (odutio) d diltri losss Usull >> d o P L dp d v P v