Keysight Technologies 誘電体測定の基礎
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- みひな はかまや
- 5 years ago
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1 Keysight Technologies Application Note
2 LCR1.1 THz (MUT) 1. PCB PCB SAR RAM IC
3 3 Keysight - Application Note Debye Cole-Cole /LCR
4 4 Keysight - Application Note Application Note DC 1 DCV 1 A C = t C = C κ' ' C κ' = ε = C V t A DC C C k'' A t1 ACV2 I c I l (C) (G)
5 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 Π 9 F/mE E ε κ = = ε = ε jε '' ε k ' '') '' '
6 6 Keysight - Application Note 3 9 ' d tan = = " ' 1 = D = Q tan D Q Q tan Q tan m ad ad
7 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 H/m is the fee space pemeability 1
8 8 Keysight - Application Note c 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 9 Keysight - Application Note 6 (MUT) G ' 6.
10 1 Keysight - Application Note 7 ' '' 22 GHz PTFE* ' + - '' f, Hz MW + - IR V - + UV 7.
11 11 Keysight - Application Note 1 ET 8 T E F + F 8. ' '' 1-7 ' ' ''
12 12 Keysight - Application Note 1/e 1 1 τ = = ω 2π f c c f c ''9 '' ' '' ' Debye ( ) = = = () = ( ) = s s j '' ', ' " f, GHz 9. 3 Debye Debye Debye 9 '(22 GHz) '' (DC) s ps
13 13 Keysight - Application Note Cole-Cole '' ' Cole-Cole1 Cole-Cole Debye '' 1/ '' ε s ε 1x 2 ' max " " max = s = f (GHz) e ' = 4.9 = s 1.9 Cole-Cole d '' '' '' σ ε = ε + d ωε '' ''1/f
14 14 Keysight - Application Note ' Maxwell-Wagne ' ' 1/f Maxwell-Wagne
15 15 Keysight - Application Note PNAENA FieldFox9 khz 1.1 THz Application Note MUT R A B 11. Application Note
16 16 Keysight - Application Note /LCR 12LCR AC PNA ENA FieldFoxVNA E4991B E499A E498A 4285A LCR DC f (Hz) 12. LCR MUT
17 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 18 Keysight - Application Note 14857E(a)(b) (c) 3 (a) (b)3 (c) (a) (b) (c) (a) 4 2 (b) mm 1 mmmidi (c) 4 2 Technical Oveview 6 7
19 19 Keysight - Application Note E4991B 1 MHz Cole-Cole25 Cole-Cole ε = ε = τ = α = s , 4.45, ,.36
20 2 Keysight - Application Note ' " 3 Theoy Measuement Theoy Measuement f, GHz f, GHz (a) (b) 15. Cole-Cole25 (a)(b) 16 * * S 11 S 21
21 21 Keysight - Application Note l (S 11) (S ) 21 S 11 S 21 µ (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 22 Keysight - Application Note 18X 25 mm 31 mm 2 (a)(b) X11644A14 mm17(b) PNA TRL NIST ' tan 25 mm mm 31 mm.5 31 mm mm 31 mm f, GHz mm 31 mm f, GHz (a) (b) 18. X25 mm 31 mm 2 N15A 2 (b)
23 23 Keysight - Application Note S NRL N15A PC GPIB/LAN/USB ENA/PNA PC
24 24 Keysight - Application Note N15AGRL TRM(Thu-Reflect-Match) TRL(Thu-Reflect-Line) N15A
25 25 Keysight - Application Note 2.6 ' f, GHz 21. U 4 6 GHzRexolite 21GRLPNA N15A U 4 6 GHzRexoliteGRL 22. Thomas Keating Ltd GHz Thomas Keating Ltd 6 9 GHz 8571E-E GHz 8571E-E GHz 8571E-E GHz 8571E-E GHz 8571E-E GHz 8571E-E24
26 26 Keysight - Application Note 12 3 Q (f) Q Keysight N15A ASTM D LAN/USB/GPIB PNA /ENA Q Keysight 8572A 1 GHz
27 27 Keysight - Application Note 22 2 ' tan SNIST 14 1 GHz TE 11 TE np 2 TM IPC QWED 5 GHz 8571E-E4 QWED Q GHz QWED 1.1 GHz 8571E-E GHz 8571E-E3 5 GHz 8571E-E4 15 GHz 8571E-E15
28 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 TE1n A 2 b/2.2 b 1/2 1/2 Q
29 29 Keysight - Application Note ASTMD (C)(D) LCR 1 GHz16451B/ 16453A 16452A Application Note JA 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 Keysight 16451B/16453A
30 3 Keysight - Application Note Keysight 16454A 1 Application Note JA A h c b whee, MUT MUT MUT MUT MUT 28.
31 31 Keysight - Application Note 29 and μ and μ μ MUT MUT MUT MUT 29.
32 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 33 Keysight - Application Note PNA ENA FieldFox E4991B E499A E498A 4285A N151A 8571E-Exx SPDR 8572A 1 GHz 16451B 16452A 16453A 16454A LCR JAJP J J J 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 Technical oveviewkeysight N15A JAJP 7. Technical OveviewKeysight N151A Dielectic Pobe Kit EN 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 fixtue 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 EN M.D. Janezic, Nondestuctive Relative Pemittivity and Loss Tangent Measuements using a Split-Cylinde Resonato,Ph.D. Thesis, Univesity of Coloado at Boulde, IPC TM Relative Pemittivity and Loss Tangent Using a Split-Cylinde Resonato 15. SPDR JAJP E4991B N151A N15A-4 v
34 34 Keysight - Application Note mykeysight Keysight Technologies, Inc. DEKRA Cetified ISO 91:28 Quality Management System TEL ( ) FAX ( ) contact_japan@keysight.com Keysight Technologies, Published in Japan, July 3, JAJP -DEP
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Agilent DMM DISPLAY DMM MEASURE Truevolt MOVE DMM 34401A DMM 100 Agilent 34461A 34401A 6½ DMM Agilent 34460A 6½ Agilent DMM DisplayDMM 4.3109 mm 34461A 4.3 4.3AgilentTruevolt Truevolt D I S P L A Y 2 DisplayDMM
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Agilent B1505A1500 A/10 kv IGBT Application Note B1505A Agilent B1505A IGBT B1505A 1500 A 10 kv B1505A 1500 A UHCU 2.5 A/2200 V HVMCU 10 kv UHVU IGBT B1505A 1 B1505A UHCU HVMCU 10 s B1505A3 kv DC CV B1505A
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8648A/B/C/D EXG X Technical Overview AgilentX RF 3 8648A/B/C/DEXG X...3...7 EXG X...9...9...10...10...10...12...12...13...13...13...14...14...15 Web...15...15 2 8648A/B/C/D EXG X Agilent 8648A/B/C/D 1996
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Agilent Data Sheet 2 3 UNZ SCPI 5ms 1.15 ms 750 s 5ms 900 s 600 s 4 2 1EA 3 520 100 250 khz 11 14 > 250 khz 3.2 GHz 11 15 > 3.2 20 GHz 11 18 532 540 100 250 khz 11 14 250 khz 3.2 GHz 7 14 > 3.2 17 GHz
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8 ( ) 2014 11 23 OP h g m r d 4 ( ) 4.2 + (lumped constant circuit) 4.2.1 3 (Poynting ) (strip line) (waveguide) (coaxial cable) GHz 4.4(a) dj dx dv Zdx Ydx ( ) (distributed constatn circuit) *1 4.4(c)
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Agilent SPDR Application Note l SPDR 120 GHz SPDRPNA/PNA-L 85071E300 21 - SPDR- SPDR Q 23SPDR - - 2 SPDR 1 2 1 h 4 h G 4 1 Ll L l h L 1. ' r 210 GHzSPDR f ' r ' r 10 h G ' r 10 8.5 GHz2 3 h G l f 1 L L
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1001 µµ 1.... 2 2.... 7 3.... 9 4. InGaAs/GaAs PIN... 10 5. InGaAs... 17 6. PbS/PbSe... 18 7. InSb... 22 8. InAs/InSb... 23 9. MCT (HgCdTe)... 25 10.... 28 11.... 29 12. (Si)... 30 13.... 33 14.... 37
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50 2 I SI MKSA r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq
49 2 I II 2.1 3 e e = 1.602 10 19 A s (2.1 50 2 I SI MKSA 2.1.1 r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = 3 10 8 m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq F = k r
PS2701-1, PS2701-2, PS DS
Photocoupler SOP NEPOC PS2701-1, PS2701-2, PS2701-4 GaAs LED IC BV = 3 7 Vr.m.s. SOP tr = 3 µs TYP., tf = 5 µs TYP. 1 PS2701-1-E3, E4, F3, F4 UL No. E72422 (S) VDE0884 IC PS2701-1 4 SOP PS2701-2 8 SOP
微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
RF AgilentPXI RF/ RF/ 250 MHz 26.5 GHz Agilent M9392A Agilent Data Viewer Agilent 89600 VSA X-COM Spectro-X 2
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Keysight EEsof EDA /EW Application Note EW EW EW EW EW EW MD EW1 EW EW Rx 4EW 03 Keysight /EW Application Note EW MD 2 EW EW MD 1Tx Tx Tx MDEW 1. EW SystemVueNRE 2 EW 3TxMD 4MD MD 2. 1SystemVue 04 Keysight
128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds
127 3 II 3.1 3.1.1 Φ(t) ϕ em = dφ dt (3.1) B( r) Φ = { B( r) n( r)}ds (3.2) S S n( r) Φ 128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds