Fundamental Waveguide Theory

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1 undnl Wvguid Tor

2 Tps of Wvguids. TM nd qusi-tm wvguids. Mlli wvguids T nd TM ods 3. Dilri wvguids T, TM, TM or brid ods

3 TM nd Qusi-TM Wvguids TM: Qusi TM: Coil Srip Lin Rngulr Coil r r r Mirosrip Lin Slo Lin Coplnr Lin

4 Mlli Wvguids Rngulr wvguid Cirulr wvguid

5 Dilri Wvguids r r r r r Plnr dilri wvguid ibr Ridg wvguid

6 Mods in Wvguids Mods: rin fild prns n propg indpndnl TM od: Trnsvrs lrogni od. ll filds r in ross sion or r r no oponns nd

7 Mods in Wvguids T ods: rnsvrs lri ods lri filds r in ross sion or no oponn. Onl oponn in longiudinl dirion. lso lld ods TM ods: rnsvrs gni ods Mgni filds r in ross sion or no oponn. Onl oponn in longiudinl dirion. lso lld ods

8 Condiions for isn of TM Mods ls wo prf lri onduors Dilri disribuion in ross sion is oognous Ys Ys No No No: TM lin n v igr ordr T nd TM ods

9 Qusi-TM Lin So plnr wvguid sruur wi inoognous dilri disribuion., Bu, r r r Mirosrip Lin Slo Lin Coplnr Lin

10 Bsi Wvguid Tor quivln Gnrlid ourir Trnsfor, V, I wi

11 Bsi Wvguid Tor dv d ZI di d Y V Z Y is rrisi ipdn of od is propgion onsn of od

12 Bsi Wvguid Tor 3 V B orwrd Wv Bwrd Wv ffiv Rliv Dilri Consn of od ff T od wi lrgs ff is lld doinn od. ff

13 TM Mod Mwll s quions TM od L

14 TM Mod

15 TM Mod 3 ro T filds in ross-sion r siilr o -D lrosi & -D gnosi filds for TM od vn if ul opring frqun n b vr ig.

16 TM Mod 4 L Lpl quion V dl or volg I dl or urrn

17 TM Mod 5 wr wr Liwis

18 TM Mod 6,, or + dirion propgion od, w v Sin or TM od ro Or: wr

19 TM Mod 7 or + dirion propging TM od: V,, V ro: wv ipdn of di insid TM wvguid

20 T, TM nd brid Mods ro or oponn: sin, or

21 T, TM nd brid Mods ro or od propging in + dirion:

22 T, TM nd brid Mods 3 Or

23 uilir Ponil ppro ull:,, In Blnis s boo: Blnis s is.

24 T Mods

25 T Mods T Z,, or od propging in + dirion: T Z rrisi ipdn of T ods + Boundr Condiions

26 TM Mods

27 TM Mods,, or od propging in + dirion: TM Z TM Z rrisi ipdn of TM ods + Boundr Condiions

28 brid Mods,, or od propging in + dirion: + Boundr Condiions

29 Ps Vloi nd Group Vloi or singl frqun: os Ps vloi: vloi of onsn ps pln - =ons v p

30 Ps Vloi nd Group Vloi Wvguid f f R os s f S d d S d S s ] R[ ] R[ R

31 Ps Vloi nd Group Vloi 3 d s ] R[ pnd d d d d L ' d d '

32 Ps Vloi nd Group Vloi 4 os R ] R[ ] R[ ' ' ' ' f f dp p d s p Inforion wi group vloi Crrir wi ps vloi ' d d v g p v p

33 Ps Vloi nd Group Vloi 5 f ' os

34 or Wn, ind uoff frqun Cuoff rqun in Mlli Wvguid od is n vnsn od. is uoff wvnubr. ro uoff frqun f f,

35 Dgnr Mods If wo or or ods v s ignvlu propgion onsn bu diffrn ignvors fild prns, r lld dgnr ods.

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