Dielectric Waveguide 1

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1 Dilctic Wavgui

2 Total Ital Rflctio i c si c t si si t i i i c i

3 Total Ital Rflctio i c i cos si Wh i t i si c si cos t j o cos t t o si i si bcoms pul imagia pul imagia i, al

4 Total Ital Rflctio 3 i c i I ictio j j j potiall ca, al

5 Total Ital Rflctio 4 lctic Fil of tasmitt wav j j j t A A A qual phas pla popagatig alog th sufac sufac wav sii si qual phas pla qual amplitu pla No-uifom pla wav t qual amplitu pla i

6 Total Ital Rflctio 5 Dilctic wavgui o If ai, v p c slow wav

7 Assum j, fo fo o Gou Dilctic Slab Wavgui TM Mos II I fo Liwis

8 Gou Dilctic Slab Wavgui TM Mos Gal Solutio Asi B cos C fo D fo II I Fom B Asi fo C D fo

9 Gou Dilctic Slab Wavgui TM Mos 3 Fom j c j h A cos fo h j D fo

10 Gou Dilctic Slab Wavgui TM Mos 4 At h h II I II I cos si D A D A II I

11 Gou Dilctic Slab Wavgui TM Mos 5 cos si t cos si ta Chaactistic quatio of TM mos gt

12 Gou Dilctic Slab Wavgui TM Mos 6 ta o Fom to fi

13 fo si fo cos fo si fo cos fo si fo si A j A j h A j A j A A Gou Dilctic Slab Wavgui TM Mos 7

14 Assum fo h fo h o Gou Dilctic Slab Wavgui T Mos II I

15 Gou Dilctic Slab Wavgui T Mos Gal Solutio h h Asi B cos C fo D fo II I Fom h A h B cos fo h C h D fo

16 Gou Dilctic Slab Wavgui T Mos 3 Fom j c j B si fo j D fo

17 Gou Dilctic Slab Wavgui T Mos 4 At h h II I II I si cos D B D B II I

18 Gou Dilctic Slab Wavgui T Mos 5 cos t si cos si cot Chaactistic quatio of T mos gt

19 Gou Dilctic Slab Wavgui T Mos 6 cot o Fom to fi

20 fo cos fo si fo cos fo si fo cos fo cos B j B j B j B j h B B h Gou Dilctic Slab Wavgui T Mos 7

21 Gou Dilctic Slab Wavgui Cutoff Fquc Th cocpt of cut-off of sufac wavs is ifft fom that of mtallic wavguis Fo sufac wav mos, th coitio fo th istc of total ital flctio givs th coitio fo cut-off.

22 Gou Dilctic Slab Wavgui Cutoff Fquc Fo total ital flctio i II I Givs th cut-off fquc

23 Gou Dilctic Slab Wavgui Cutoff Fquc 3 TM mos: o o o o ta f o o = c f c c, fo TM mo o cutoff, wh,,,... o ta TM o mo has No cut off fquc!

24 Gou Dilctic Slab Wavgui Cutoff Fquc 4 T mos:,,... wh, 4 : / 3, 4,,..., cot off - at cut, cot 8 o s m c c f off cut o c o

25 Gou Dilctic Slab Wavgui Dispsio Diagam o off cut o off cut o,.55, T: TM: ff o

26 Magtic Wall Gou Dilctic Slab Wavgui T mos : ta M.W. TM mos: cot T o is th omiat mo without cut off fquc.

27 Smmtic Dilctic Slab Wavgui v O T M.W is v ta cot.w TM.W M.W is v ta cot

28 quivalt Tasmissio Li Aalsis fo Slab Wavgui Fo + popagatig mo: j

29 quivalt Tasmissio Li Aalsis fo Slab Wavgui j j j j a a a a a a j j a a a a a a,,... N μ j μ j j ε j j ε j ε j j μ j j

30 quivalt Tasmissio Li Aalsis fo Slab Wavgui 3 T Mos : j j j TM Mos : j j j Lt j j V I j j j j j j Lt V j j I j j

31 quivalt Tasmissio Li Aalsis fo Slab Wavgui 4 quivalt Tasmissio Li quatios i Coss Sctio: V j I I j Y V wh fo T mos Y fo TM mos,

32 quivalt Tasmissio Li Aalsis fo Slab Wavgui 5,

33 LC Rsoat Cicuit I I V V I I L V C jl jc Y Y I I I I

34 LC Rsoat Cicuit jl jc LC -I I I I YV Y V Y Y V L V C V Y Y Y Y Y Y jl, jc jc jl LC

35 Tasvs Rsoac Tchiqu ampl T Mos: up up j ta II I j ta o Y up Y up j

36 Tasvs Rsoac Tchiqu ampl up j cot j ta Sam as th pvious fil matchig aalsis.

37 Tasvs Rsoac Tchiqu ampl 3 TM Mos up j ta j j ta ta Co is i w.m. Sam as th pvious fil matchig aalsis. up up j

38 Tasvs Rsoac Tchiqu ampl 3 3 o up 3 T Mos: 3, 3 j up j 3 j j ta ta

39 up ta ta 3 j j j j j 3 3 ta ta Fo T Mos Liwis, fo TM Mos Tasvs Rsoac Tchiqu ampl Co is i w.m.

40 Tasvs Rsoac Tchiqu T m Mos ampl 3 t a j ta L R j ta t j ta a t L R j ta t a t ta t ta[ a t] L Co is i w3.m. R t a-t

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