Keysight Technologies Application Note
LCR1.1 THz (MUT) 1. PCB PCB SAR RAM IC
3 Keysight - Application Note... 2... 4... 4... 7... 8... 1... 11... 11... 12 Debye... 12 Cole-Cole... 13... 13... 14... 15... 15 /LCR... 16... 16... 16... 17... 17... 2... 23... 26... 29... 3... 31... 32... 33
4 Keysight - Application Note Application Note 1369-1 1 DC 1 DCV 1 A C = t C = C κ' ' C κ' = ε = C V t - - + - + - + + A - + + - - + - + + 1.DC C C k'' A t1 ACV2 I c I l (C) (G)
5 Keysight - Application Note I = I + I = V (jωc κ ' + G) c I If G = ωc κ '', then I = V (jωc )( κ ' j κ'') = V (jωc ) κ ω = 2π f V I t - + - + - + - + A - + + - + - + - + C G 2.AC k k' k'' * * D f Df = εe * ε 1 1 36Π 9 F/mE E ε κ = = ε = ε jε '' ε k ' '') '' '
6 Keysight - Application Note 3 9 ' d tan = = " ' 1 = D = Q 1 1 3. tan D Q Q tan Q tan m ad ad
7 Keysight - Application Note 4DC L = L µ ' L µ ' = L R L 4. LL ' AC L R * '" µ µ = = µ jµ '' µ µ = π 7 4 1 H/m is the fee space pemeability 1
8 Keysight - Application Note c 3 1 8 m/s lc/f 1 MHz3 m 1 GHz3 cm (MUT) TEM5 Z Z vc d 2 η µ Z = η = Z = = 12 ' ε ε π λ λ = v = d ' ε c ε ' 5.
9 Keysight - Application Note 6 (MUT) G 2 7 9 1.9.8.7.6.5.4.3.2.1 1 2 3 4 5 6 7 8 9 1 ' 6.
1 Keysight - Application Note 7 ' '' 22 GHz PTFE* ' + - '' 1 3 1 6 1 9 1 12 1 15 f, Hz MW + - IR V - + UV 7.
11 Keysight - Application Note 1 ET 8 T E F + F 8. ' '' 1-7 ' ' ''
12 Keysight - Application Note 1/e 1 1 τ = = ω 2π f c c f c ''9 '' ' '' ' Debye ( ) = = = () = ( ) = s s + 1 + j '' ', 6 4 2 ' ".1 1 1 1 f, GHz 9. 3 Debye Debye Debye 9 '(22 GHz) '' (DC) s 76.47 4.9 7.2 ps
13 Keysight - Application Note Cole-Cole '' ' Cole-Cole1 Cole-Cole Debye '' 1/ '' ε s ε 1x 2 ' max " 3 2 - " max = s = 2 35.8 f (GHz) 1 1 2 3 4 5 6 7 e ' = 4.9 = 76. 47 s 1.9 Cole-Cole d '' '' '' σ ε = ε + d ωε '' ''1/f
14 Keysight - Application Note ' Maxwell-Wagne ' ' 1/f Maxwell-Wagne
15 Keysight - Application Note PNAENA FieldFox9 khz 1.1 THz 12 11 Application Note 1287-1 2 1287-2 3 2 MUT R A B 11. Application Note 1287-3 4
16 Keysight - Application Note /LCR 12LCR AC PNA ENA FieldFoxVNA E4991B E499A E498A 4285A LCR DC 11 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 1 1 11 1 12 f (Hz) 12. LCR MUT
17 Keysight - Application Note E tan d MUT 13 S 5 11 * 857E N15A PC GPIB/LAN/USB ENA/PNA PC (S ) 11 S11 13.
18 Keysight - Application Note 14857E(a)(b) (c) 3 (a) (b)3 (c) (a) (b) (c) 14. 3 (a) 4 2 (b) 3 2.2 mm 1 mmmidi (c) 4 2 Technical Oveview 6 7
19 Keysight - Application Note E4991B 1 MHz 3 3 3 3 3 6 1 15Cole-Cole25 Cole-Cole ε = ε = τ = α = s 11 33.7, 4.45, 4.95 1,.36
2 Keysight - Application Note ' " 3 Theoy Measuement 2 1 1 5 Theoy Measuement.1 1 1 f, GHz.1 1 1 f, GHz (a) (b) 15. Cole-Cole25 (a)(b) 16 * * S 11 S 21
21 Keysight - Application Note l (S 11) (S ) 21 S 11 S 21 µ 16. 17(a) 17(b) N15A PC GPIB/LAN/USB ENA/PNA PCN15A Technical Oveview 8 9 (a) (b) 17.7 mm (a)x (b) 5 17(a) 11644A 17(b)
22 Keysight - Application Note 18X 25 mm 31 mm 2 (a)(b) X11644A14 mm17(b) PNA TRL NIST 9 2 22 ' tan 25 mm 2.58 25 mm 31 mm.5 31 mm 2.56 2.54 25 mm 31 mm 9 1 11 12 f, GHz.4.3 25 mm 31 mm 9 1 11 12 f, GHz (a) (b) 18. X25 mm 31 mm 2 N15A 2 (b)
23 Keysight - Application Note 19 192S NRL N15A PC GPIB/LAN/USB ENA/PNA PC 1 2 1 2 19.
24 Keysight - Application Note 2 2 2. 2 N15AGRL TRM(Thu-Reflect-Match) TRL(Thu-Reflect-Line) N15A
25 Keysight - Application Note 2.6 ' 2.5 2.4 45 5 55 f, GHz 21. U 4 6 GHzRexolite 21GRLPNA N15A U 4 6 GHzRexoliteGRL 22. Thomas Keating Ltd. 33 5 GHz Thomas Keating Ltd 6 9 GHz 8571E-E2 75 11 GHz 8571E-E1 9 14 GHz 8571E-E22 14 22 GHz 8571E-E23 22 325 GHz 8571E-E18 325 5 GHz 8571E-E24
26 Keysight - Application Note 12 3 Q (f) Q Keysight N15A ASTM D252 1 3LAN/USB/GPIB PNA /ENA 13 14 Q 2 23. Keysight 8572A 1 GHz
27 Keysight - Application Note 22 2 ' tan SNIST 14 1 GHz TE 11 TE np 2 TM-65 2.5.5.13 IPC 15 24. QWED 5 GHz 8571E-E4 QWED Q 1 16 1 15 GHz QWED 1.1 GHz 8571E-E19 2.5 GHz 8571E-E3 5 GHz 8571E-E4 15 GHz 8571E-E15
28 Keysight - Application Note ASTM D252 ' = V C (f C f S ) + 1 2V S f S " = V C 1 1 4V S Q S Q S Q S Q V c f S f C f s f µ Q 25. ASTM 252 1 TE1n 25 11644A 2 b/2.2 b 1/2 1/2 Q
29 Keysight - Application Note ASTMD15 12 32 2 (C)(D) LCR 1 GHz16451B/ 16453A 16452A Application Note1369-1 598-2862JA 1 38-1 11 A Y = G + j = j C C C C p p j G C Co Cp G * = C p C j G C t = = t A C p R p t A 26. 27. Keysight 16451B/16453A
3 Keysight - Application Note Keysight 16454A 1 Application Note 1369-1 598-2862JA 1 16454A h c b whee, MUT MUT MUT MUT MUT 28.
31 Keysight - Application Note 29 and μ and μ μ MUT MUT MUT MUT 29.
32 Keysight - Application Note 3 N15A 16452A N151A 16453A 16451B 16454A 8572A 8571E-Exx SPDR 1 GHz DC 1 khz 1 MHz 1 GHz 1 GHz 2 GHz 5 GHz 1 GHz 3. N15A S ' tan ' tan m Cole-Cole (GRL) NRL 31
33 Keysight - Application Note PNA ENA FieldFox E4991B E499A E498A 4285A N151A 8571E-Exx SPDR 8572A 1 GHz 16451B 16452A 16453A 16454A 31. 1. LCR 598-2862JAJP 28 1 28 2. 5965-777J 212 12 12 3. 5965-778J 2 12 6 4. 5965-779J 22 3 27 5. D. V. Blackham, R. D. Pollad, An Impoved Technique fo Pemittivity Measuements Using a Coaxial Pobe IEEE Tans. on Inst.Meas., vol. 46, No 5, Oct. 1997, pp. 193-199 6. Technical oveviewkeysight N15A 5992-263JAJP 7. Technical OveviewKeysight N151A Dielectic Pobe Kit5991-264EN 8. N15Ahttp://na.tm.keysight.com/mateials/ downloads.html 9. ASTM Test methods fo complex pemittivity (Dielectic Constant) of solid electical insulating mateials at micowave fequencies and tempeatues to 165, ASTM Standad D252, Ameican Society fo Testing and Mateials 1. Dielectic constant measuement of solid mateials using the 16451B dielectic test fixtue595-239 1998 9 11. ASTM, Test methods fo A-C loss chaacteistics and pemittivity (dielectic constant) of solid electical insulating mateials,astm Standad D 15 Ameican Society fo Testing and Mateials 12. Technical OveviewKeysight 8572A 1GHz Split Cylinde Resonato 5989-6182EN 212 5 8 13. M.D. Janezic, Nondestuctive Relative Pemittivity and Loss Tangent Measuements using a Split-Cylinde Resonato,Ph.D. Thesis, Univesity of Coloado at Boulde, 23 14. IPC TM-65 2.5.5.13 Relative Pemittivity and Loss Tangent Using a Split-Cylinde Resonato 15. SPDR5989-5384JAJP 26 7 19 1. E4991B N151A N15A-4 v214-215115
34 Keysight - Application Note mykeysight www.keysight.co.jp/find/mykeysight www.keysight.com/go/quality Keysight Technologies, Inc. DEKRA Cetified ISO 91:28 Quality Management System www.keysight.com/find/sevice www.keysight.co.jp/find/channelpatnes www.keysight.co.jp/find/mateials www.keysight.co.jp/find/na www.keysight.co.jp/find/impedance www.keysight.co.jp/find/ecal 192-855 9-1 9-18 TEL 12-421-345 (42-656-7832) FAX 12-421-678 (42-656-784) Email contact_japan@keysight.com www.keysight.co.jp Keysight Technologies, 213-215 Published in Japan, July 3, 215 5989-2589JAJP -DEP www.keysight.co.jp