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1 Agilent Application Note

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6 Zc Z T 1+ G 1 e - γ 1+ G 2 G i G 1 G G2 G 1 G T 1+ G 2 e - γ 1+ G 1 a b [ T XI ] [ T L ] [ T XO ] [ G L ] Zc Zr ZT Zr Γ1 = Γ2 = Γ1ΓT = (1.1) Zc+ Zr ZT + Zr γ = α+ jβl = Zc ^ Zr ^ α ^ β ^ 6

7 Γ [ ] ] ][ γ l 1 1 Γ1 e [ L = 1 + Γ1 Γ1 1 ] [ ] [ 0 e 1 1 Γ1 ΓT ΓL = ( 1 Γ )[ [ ] Γ 1 ] [ 1 ] b b = =[TXI [ TL T ][ Γ ] a a i XO L [ T ] = T XI [ TXO] = Γ i 1 2γl 2γl Γ1 ( 1 e Γ1ΓT)+ e Γ = 2γl 2γl 1 Γ e Γ + Γ 1 e 1 T 1 [ 1 T ] 0 γ l ] (1.2) (1.3) (1.4) g l ε = r c l = (1.5) ε r = = c = 7

8 (db): = GHz ( Z 0 ) -ln( 10 ) db GHz 10 ( Z 0 ) = *ln( S ) (1.6) = ln( S11 1GHz ) (db): = -ln( ) Z ( 0 ) db Z 1 GHz ( 0 ) (1.7) ln = µ 0 ε 0 c [ ] 2 1 c h c w (1.8) Z µ 0 r 1 µ D µ 0c µ r D = ln = ln 2π ε d 2π εr d = (1.9) D = d = 8

9 [ ] αl = 2( Zo) βl = 2π+ αl Zc =( Zo)+ ( 1 j) 4π (1.10) βl = 2π 1 α c = c l 2 ε0 ( ) ( µ ) c 0 [ h c w ( ) ] 2 1 c ( ) (1.11) 9

10 L = L + L+ L + L Z = j πl Γ S S 2 S S Z = Z S S Z + Z r r (1.12) C = C + C+ C + C Z = 0 0 j2πc Γ 0 Z = Z Z + Z 0 r 0 r 0 (1.13) G L =0 Z ZA = R+ jiγa = Z A A Z + Z r r (1.14) 10

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15 C0= sxx. xxx10 F C2= sxx. xxx10 F / Hz s ( + ) C1 = sxxx.xx10 F / Hz C3 = sxx. xxxx10 F / Hz 3 (1.15) L0= sxx. xxx10 H L 2= sxx. xxx10 H / Hz s L1 = sxxx.xx10 H / Hz L3 = sxx. xxxx10 H / Hz ( + ) (1.16) 15

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22 Modiy Cal Kit Kit Import KitCreate New Standards Assign Classes NameRename Kit 22

23 [Edit Kit] [Edit] > [Modiy] 23

24 [Add or Edit] [Add] 24

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28 Cal > MORE MODIFY 2 DEFINE STANDARD 1 X1 SHORT SPECIFY OFFSETS OFFSET DELAY OFFSET LOSS OFFSET MINIMUM FREQUENCY MAXIMUM FREQUENCY WAVEGUIDE PRIOR MENU > LABEL STANDARD > ERASE TITLE SELECT > LETTERSPACE PSHORT 1 TITLE DONE STANDARD DONE (DEFINED) l SPECIFY CLASS l X1 CLASS DONE (SPECIFIED) 28

29 LABEL CLASS ERASE TITLE SELECTSPACE PSHORT 1 TITLE DONE > LABEL DONE LABEL KIT > ERASE TITLE "P BAND" TITLE DONE > KIT DONE (MODIFIED)"CAL KIT SAVED" 8510 Network Analyzer Operating and Service Manual 29

30 30

31 (M) (F) (M) (F) MF (M)(F) MF 31

32 s D d e r a b = e - α+j β l ( α + jβ)= ( R+ jωl) G+ jωc Zc = R+ jωl G jωc ( + ) R L G C ω 2π ; l (2B.1) L= L L L R o+ i = o+ ω ( α+ jβ) jω L C 1+ ( 1 j) Z c Lo C o [ R [ 1 + ( 1 j) ( 2ω L o ) ] R 2ω L o ] (2B.2) 32

33 = Rν ε l ε r = = ν π µ R = + σ πd π D L c o r 10 9 LC o µ 0 D 2πεoε r 1 = ln C = ; ε o = 2π d ln Dd µ ν Lo µν o Z o = = ln C 2π ε r D d o 2 (2B.3) (2B.4) R ( 2ωL ) = ( 2 ω o (Oset Z 10 9 o )) [ ] 10 9 αl = 2 Z o βl = ω+ αl [ β ( ων) + α] Z = ( Z )+( j) c o 1 2ω 10 9 (2B.5) 2 Z jω L L = L + L + L + L T T T ω LT 2 jarctan( Z ) r T Γ ( 1) e 3 3 (2B.6) 33

34 φ 2πLT = 2arctan = 2π ( ) Z r (2B.7) 1 2 ZT CT = C0+ C1 + C2 + C3 jω CT 1 2 jarctan( ωctz ) r Γ () 1 e T 3 (2B.8) φ 1 2arctan 2πC Z 2π = = T r (2B.9) 34

35 r h s e r w 2π εr λ0 β = 1 λ 0 = ν 2w w = e = ( 4 π) r w h e 2 2 (2C.10) [13] α π µ ρ h [ 2 ε ] µ h λ we 2we λ 1 0 ( 2w ) e 1 ρ = σ (2C.11) λ 0 ν ν = ; 2we = λc = c λ0 = c ν 2w e (2C.12) 35

36 α l l π c µ ρ ε h µ 0 0 c 0 2 h 1+ 2 c w ( e ) 2 1 c ( ) [ ] (2C.13) let πµ ρ ν 0 c ( ) = h εr αl ( ) ε0 ( µ ) 0 c l εr = ν 2 h 1+ 2 c w ( e ) 2 1 c ( ) [ ] (2C.14) ( ) γl = α+ jβ l [ ] ] ε0 ( µ ) 0 c [ h 1+ 2 we 1 c 2 c 2 + j 2 1 ( ) (2C.15) 2 c π ( ) 36

37 37 bhttp://na.tm.agilent.com/pna/dbcal.html

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40 :00-19:00 FAX Web 24 TEL ( ) FAX ( ) Copyright Agilent Direct Agilent Open June 19, JAJP DEP

5989-1550JAJP.qxd

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1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Ni-Cd 19 1 1 2 3 4 5 6 7 20 21 1 2 3 22 1 2 3 1 2 3 23 1 2 1 1 1 24 25 1 1 2 3 2 26 1 2 1 27 1 2 3 28 1 2 3 29 30 31 32 33 34 35 1 1 36 1 2 37 38 1 2 3 1 39

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