RF circuits design Grzegorz Beziuk. Introduction. Basic definitions and parameters. References

Transcription

1 RF cicuit dign Gzgoz Bziuk ntoduction. Bic dinition nd pmt Rnc [] Titz., Schnk C., Ectonic cicuit : hndook o dign nd ppiction, Sping 8 [] Goio M., RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook, 8, CRC P To nd Fnci Goup [3] Goio M., RF nd micowv ppiction nd tm in: RF nd Micowv hndook, 8, CRC P To nd Fnci Goup [4] Mxim, Appiction Not 74, mpdnc Mtching nd th Smith Cht: Th Fundmnt, AN 74,, Mxim

2 ntoduction * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. [] ntoduction Componnt dimnion tiv to ign wvnght. < λ/ ph hit i ngctd, umpd mnt > λ/ ph hit cn not ngctd, ditiutd cicuit dciption * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. []

3 ntoduction Sv common guidd wv tuctu: coxi c, ctngu wvguid, tipin, micotip, copn wvguid * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. [] ntoduction Micowv nd RF qunc induti nd EEE nd digntion * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. []

4 ntoduction. S. Miit qunc nd digntion * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. [] ntoduction Wn RF SM Bnd (nduti, Scintiic nd Mdic nd). Opting chnn o dict qunc * Tkn om RF nd micowv ppiction nd tm in : RF nd Micowv hndook Goio M. [3]

5 ntoduction Attnution o ctomgntic ign in tmo * Tkn om RF nd micowv piv nd ctiv tchnoogi in: RF nd Micowv hndook Goio M. [] Tnmiion in Co ction nd id in o th coxi nd th mmtic c * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. []

6 Tnmiion in [ ] Ω o W H E ε ε µ π ε ε µ µ µ 377 Wv impdnc o tnmiion in: o p c c v ε µ ε µ Vocit o th wv popgtion in tnmiion in: Wh µ, ε mgntic nd ctic pmitiviti, pctiv, c i th ight vocit in th pc c 3* 8 [m/]. Tnmiion in Chctitic impdnc o tnmiion in: n n d d d d k i W g W π π Ω Ω ] [ n ] [ n 6 d d d d i ε ε

7 Tnmiion in Equivnt cicuit o n incmnt ngth o tnmiion in. A init ngth o tnmiion in cn modd i conctntion o ction o thi om. Tnmiion in W cn wit th oowing qution: Whn w pc: ( R' dz jωl' dz) ( G' dz jωc' dz) d d Thn w divid qution dz, nd uming tht ngth o th in ction tnd to : dz,,

8 Tnmiion in W gt th oowing qution: d ( R' jωl' ) dz d ( G' jωc' ) dz Whn w dintit it qution z nd thn put cond qution into otind dinti qution w wi gt tnmiion in qution: d ' dz ( R' jω L' )( G' jωc ) Th oution o thi qution i Tnmiion in z z ( z) Wh i popgtion contnt: ( R' jωl' )( G' jωc' ) Fo th ow o in th popgtion contnt i dcid th qution: R' C' G' L' jω L' C' L ' C ' β α

9 Tnmiion in α it i mnt ttnution contnt β it i mnt ph hit contnt n th c o o tnmiion in (R G ) ttnution i qu to zo. Whn w wit: u ( t, z) R ( z) u jωt jωtz jωt z { } R{ } αz ( ωt βz ϕ ) co( ωt βz ϕ ) αz co incidnt _ wv ( t, z) u ( t, z) ctd _ wv Tnmiion in ncidnt wv in tnmiion in in th tim T o nd ¼ o th piod t. Rctd wv in tnmiion in in th tim T o nd ¼ o th piod t. * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. []

10 Tnmiion in Fo incidnt wv: ' ' L C dt dz v z t p β ω ϕ β ω Wv ngth: v L C p ' ' β π λ π βλ Fo ctomgntic wv in th pc wv nght i givn qution: c λ Tnmiion in Chctitic impdnc o th in i givn xpion: ' ' ' ' C j G L j R ω ω Th incidnt nd ctd cunt wv in th in givn qution: z z z z Fo o in: ' ' C L

11 Tnmiion in Attnution o tpic coxi 5Ω c in th vu o qunc * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. [] Tnmiion in α jβ Fou-po pnttion o th tnmiion in z

12 Tnmiion in Votg on th in tmin: Cunt on th in tmin: Tnmiion in Now w gt th oowing xpion: Rctd wv dpnd on od itnc o th in. w connct to th nd o th in itnc R ctd wv i qu to zo.

13 Tnmiion in Thn w otin xpion: ( ) ( ) ( ) ( ) o ( ) ) coh( ( ) ) inh( Tnmiion in Fo th tnmiion in odd it impdnc it input impdnc i givn xpion: ( ) ( ) tgh tgh W otin ou po qution o tnmiion in: ( ) ( ) ( ) ( ) coh coh inh coh z α jβ N

14 Tnmiion in * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. [] Tnmiion in n th c o in ctic hot (<λ) N. Fo th in o nght λ/4: nput impdnc o th in opnd t th nd (o < λ/8): j ω C' j ω C n th c o th in hot t th nd (o < λ/8): jω L' jωl

15 Rction coicint Rtionhip twn votg, cunt nd chctitic impdnc o th tnmiion in: Both, incidnt nd ctd wv coud dcid on pmt. Tho wv pmt o th in givn xpion: ncidnt wv Rctd wv Rction coicint nd dci pow o incidnt nd ctd wv: Fo tnmittd pow: P R [ ] [ ] VA W P R * { } * { } Whn w tk into conidtion votg nd cunt:

16 Rction coicint Thn: ( ) ( ) And in: Rction coicint Dinition o th ction coicint: ( ) wv incidnt wv ctd coicint ction Γ Γ O: Γ Γ

17 Rction coicint jm{} jm{γ} j Γ R{} - R{Γ} Γ -j Rction coicint Mtching,, Γ Shotd nd o th in Opn nd o th in, -, Γ -, P P,, Γ, P P Ritiv od R, < R <, - < Γ < nductiv od R() nd m() >, Γ nd < g(γ) < π. Cpcitiv od R() nd m() <, Γ nd -π < g(γ) <.

18 Rction coicint jm{γ} inductiv jωl Γ j j, L jω j itiv-inductiv (hot) L L R R - Γ C C R{Γ} opn Γ cpcitiv jωc itiv R Γ j j, C ω -j mtching Γ itiv-cpcitiv Rction coicint Fo piv cicuit th pow mmiion o od itnc w i poitiv o qu to zo: ( P P P Γ ) W cn din th Pow Tnmiion Fcto: k P Γ Γ

19 Rction coicint Mgnitud o th ction coicint nd pow tnmiion cto o dint od itnc * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. [] Rction coicint Γ α jβ Γ Γ Γ z Γ α jβ Tnmiion in inunc on ction coicint it cu it ttnution nd ph hit ik tnom.

20 Votg tnding wv tio * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. [] Votg tnding wv tio Votg tnding wv tio: VSWR mx min Γ Γ R pow tnmiion: Pmx P VSWR Fo th u mtching VSWR i qu to nd P P mx

21 Wv ouc mtching g g Γ g g g α jβ z g g Γ g g g Γ Lin input votg: Wv ouc mtching g g g g g g g g ( Γg ) ( Γ ) n th c o u mtching th gnto nd th in: g g g

22 mpdnc mtching Smith Cht S-pmt... - cting pmt

23 S-pmt S th input ction coicint Γ [ S] Γ L R L Γ Γ Γ L RL S w cn u to dtmin th input impdnc o cicuit: Γ R L Γ R L RL S-pmt S tun tnmiion coicint R g Γ g [ S] Γ

24 S-pmt S owd tnmiion coicint R g g g g [ S] R L A u Rg RL g S-pmt S output ction coicint R g Γ g [ S] Γ Γ Γ Γ g Rg S w cn u to dtmin th output impdnc o cicuit: OT Γ R g Γ R g Rg

25 Y nd S-pmt ( ) ( ) ( ) ( ) ( ) ( ) S-pmt o ipo tnito Bipo tnito hd π mod, without c Bipo tnito hd π mod, with tking into conidtion c pmt * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. []

26 S-pmt o ipo tnito * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. [] S-pmt o ipo tnito * Tkn om Ectonic cicuit : hndook o dign nd ppiction Titz., Schnk C. []

27 Noi Figu Noi cto: S R F S R in out Noi igu (o tmptu T 9K): S R F og, S R out in ( F ) og S Rin, db S Rout db