Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)

Coupling impedance bench measurement of J-PARC ring components
Takeshi Toyama1,A)

A)

B)

A)

B)

, Yongho Chin , Junichiro Kamiya , Kunio Koseki , Yoshihiro Shobuda ,A)
B)
A)
Koji Takata , Masao Watanabe , Masahito Yoshii
A)
High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan
B)

Japan Atomic Energy Agency (JAEA), 2-4 Shirakatashirane, Tokai, Naka, Ibaraki 319-1195, Japan

Abstract
Coupling impedances is a key issue for high intendity accelerators, because it may cause collective instabilities. In JPARC RCS and MR, injection and extraction kickers, and acceleration RF cavities are the dominant sources of coupling
impedance. There exist bench measurement methods of impedances with wire/wires. Longitudinal impedance can bemeasured with "monopole-mode" and transverse impedance with "dipole-mode". The results are reported.

J-PARCࣛ ࣤ ࢡ ⏕ ᶭ ჹ ࡡ ⤎ ྙ ࢕ ࣤ ࣅ ࣭ ࢱ ࣤ ࢪ ࡡ ࣊ ࣤ ࢲ ῼ ᏽᘿࡾᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪῼᏽ᫤࡞ࠉ௧ୖ࡞㏑࡬ࡾࡻ࠹࡞ୌᣋῼᏽࡊࡒ⤎ᯕࢅ♟ࡌࠊኬᙁᗐຊ㏷ჹ࡚ࡢࠉᶭჹࡡ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪ࠿ࣄ࣭࣑ࡡ㞗ᅆ㐘ິࡡ୘Ꮽᏽᛮࢅᘤࡀ㉫ࡆࡌࡒࡴ࡞ࠉ㻳㻲㻵㻷㻃㻔㻃 㻃㻳㻲㻵㻷㻃㻖㻃 㻃⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࡡᏽ㔖Ⓩᢍᥩ࡛ᑊ➿࠿㔔さ࡚࠵ࡾࠊ/5&7(7(827࡚ࡢࠉථᑏࠉཱིฝ࢞ࢴ࣭࢜ࠉຊ㻳㻲㻵㻷㻃㻕㻃 㻃㻳㻲㻵㻷㻃㻗㻃 㻃DUT
㏷7+✭⬏࠿ኬࡀ࡝࢕ࣤࣅ࣭ࢱࣤࢪ″࡛࡝ࡖ࡙࠷ࡾࠊ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅフ౮ࡌࡾ᪁Ἢ࡛ࡊ࡙ࠉᶭჹࡡ ᅒ㸧 ᶋ᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪῼᏽ . ス⨠๑࡞࣊ࣤࢲ࡚࣠࢕࣭ࣕࢅ౐ࡖ࡙⾔࡝࠹ῼᏽ᪁Ἢ
࠿࠵ࡾࠊ➠㸦ࡢࠉࣄ࣭࣑ࢅᶅ᧻ࡌࡾ㸦ᮇ㸝ࡱࡒࡢ㸧ᶋ᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅῼᏽࡌࡾ᪁Ἢࡢࠉᮇ㸞ࡡ࣠࢕࣭ࣕ࡞ࡻࡽPRQRSROHPRIHࢅທᣲࡊ࡙
ࣄ࣭࣑ࢱࢠࢹࡡ୯ᚨ㒂࡞㸧ᮇࡡ࣠࢕࣭ࣕࢅᘿࡽࠉ
⦢᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅῼᏽࡌࡾࡵࡡ࡚࠵ࡾࠊILSROHࡡ㞹☚ሔ㸝9*2㸞ࢅທᣲࡌࡾࡵࡡ࡚࠵ࡾ @B ࠊ➠㸧ࡢࠉ㸧ᮇࡡ࣠࢕࣭࡚ࣕILSROHPRIHࢅທᣲࡊࡆ ࡡ 㒼 ⨠ ࡚ ࡢ ࠉ HRPPRQ PRIH ࡛ ILIIHUHQHLFO PRIH
࡙ᶋ᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅῼᏽࡌࡾࡵࡡ࡚࠵ࡾࠊ ࡡ㸧ࡗ࠿ྊ⬗࡚࠵ࡾࠊ࣏ࣜࢲ࣭࣎ࢹࡡࢾࢴࢹ࣭࣠ࢠࡐࡿࡑࡿࡡᶭჹࡡῼᏽ⤎ᯕࢅሒ࿈ࡌࡾࠊࡱࡒࠉᑊ➿
࢓ࢻࣚ࢕ࢧ࡞ࡻࡽࠉࡆࡿࡼࡡᩋ஗⾔าࢅୌᣋࡊ࡙ῼ࡞ࡗ࠷࡙ࡡ᳠ゞ≟Ἓࡵሒ࿈ࡌࡾࠊᏽࡌࡾࡆ࡛࠿ฝᮮࡾࠊ⦢᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࡢࠉ
HRPPRQPRIH㛣ࡡ㏩㐛౿ᩐ8HH ࢅᘟ  ࡞௥ථࡊ࡙ị㸧㸣ῼᏽ᪁Ἢࡴࡾࠊ ᶋ᪁ྡྷ⤎ྙ࢕ ࣤࣅ࣭ࢱࣤࢪ ࡢILIIHUHQHLFOPRIH㛣ࡡ㏩㐛౿ᩐ8IIࢅ౐࠷ࠉ
⦢᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅῼᏽࡌࡾ᪁Ἢࡢࠉ
Sࣄ࣭࣑ࢱࢠࢹࡡ୯ᚨ࡞㸦ᮇࡡ࣠࢕࣭ࣕࢅᘿࡽࠉ㍂ᑊ
Z = "2Z c ln dd21DUT@B
Sdd 21REF⛘ࡡ㞹☚ሔ㸝9*2㸞ࢅທᣲࡌࡾࡵࡡ࡚࠵ࡾࠊᅒ ࡞ῼᏽࡡࣇࣞࢴࢠᅒࢅ♟ࡌࠊc Z
ZT =3HW\RUN &QFO^̲HU ࡡSRUWSRUW ࢅᅒࡡࡻ࠹ ࡞᥃# $2⤾ࡌࡾࠊ᥃⤾㒂࡞ࡢ࢕ࣤࣅ࣭ࢱࣤࢪᩒྙࡡࡒࡴࡡᢤ
࡞ࡻࡖ࡙ịࡴࡾࠊࡆࡡ᫤ Z c ࡞ࡢࡐࡿࡑࡿࡡ࣓࣭ࢺࡡ
ᢘࢅ௛ࡄࡾࠊ㏩㐛౿ᩐࢅῼᏽࡊࠉ≁ᛮ࢕ࣤࣅ࣭ࢱࣤࢪ Z com ࠉ Z dif ࢅ౐࠹ࠊS
Z L = "2Z c ln 21DUT  
! ୕オࡡ᪁Ἢࡢࠉᩐ2-̲௧୕ࡡ㧏࿔ἴ࡚ࡢ༎ฦវ
S21REFᗐࢅᣚࡗ࠿ࠉᩐ2-̲௧ୖ࡚ࡢ༎ฦ࡝83࠿ᚋࡼࡿ࡝
!
ࢅ౐ࡖ࡙⦢᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅゝ⟤ࡌࡾࠊ࠷ࠊࡐࡡࡒࡴࠉ∞❻ࢅࢨ࣭ࣘࢹࡊࡒ≟ឺ࡚࣭ࣜࣈࢅ
!
!
ࡆࡆ࡚ࡢࠉᅒ㸧࡞♟ࡌࡻ࠹࡝㸧ᮇࡡ࣠࢕࣭ࣕࢅ
ᙟᠺࡊ࢕ࣤࢱࢠࢰࣤࢪࡡን໩ࢅㄢ࡬ࡾ@Bࠊࡐࡡࡒࡴ
࡞ཬᑏ౿ᩐ8IIࢅ౐࠹ࠊᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪࡢࠉ
!
㻩㼕㼒㼐㻃 㻃㻷㼒㻃 㻃㻳㻲㻵㻷㻃㻔㻃 㻃㻳㻲㻵㻷㻃㻔㻃 㻃㻶㼋㼒㼕㼗㻃 㻃㻳㻲㻵㻷㻃㻕㻃 㻃 㻳㻲㻵㻷㻃㻕㻃 㻃
DUTDUT ᅒ㸨 ᶋ᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪῼᏽ .. ᅒ㸦 ⦢᪁ྡྷ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪῼᏽ

㸦㸣ࡢࡋࡴ࡞

1E-mail: takeshi.toyama@kek.jp-295-

Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)

Z in (DUT ) = Z dif

1 + Sdd11DUT
1 " Sdd11DUT

Z in (REF) = Z dif

1 + Sdd 21REF
1 " Sdd 21REF

ཱིࡽฝࡊ࢞ࢴ࣭࢜ࡢ㎾࠷ᑑᮮᨭⰃࡊࡒࡵࡡࢅ⿿ష
ࡊࠉ⨠ࡀᥦ࠻ࡾ஢ᏽ࡝ࡡ࡚ࠉ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪᑊ
➿ࡢ᪃ࡊ࡙࡝࠷ࠊᨭⰃ∟ࡡᑊ➿ࡢ⌟ᅹ᳠ゞ୯࡚࠵ࡾࠊ
 #Z = Z in (DUT ) " Z in (REF)c #Z
ZT =$ #2
࡞ࡻࡖ࡙ịࡴࡾࠊ࣠࢕࣭ࣕἪ࡞ࡻࡾᩋ஗⾔า࠾ࡼ⤎ྙ࢕ࣤࣅ࣭ࢱࣤ
ࢪࢅᑙฝࡌࡾㄵᣈ࡞ࡗ࠷࡙᳠ゞ࠿ࡈࡿ࡙࠷ࡾ@Bࠊ!

㸩㸣MR RF࢞ࣔࣄࢷ࢔࣭
27ࡡ7+࢞ࣔࣄࢷ࢔࣭ࡡ⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪࢅᅒ㸧ࡡ᪁Ἢ㸝㏩㐛Ἢ㸞࡚ῼᏽࡊࡒ⤎ᯕࢅ♟ࡌࠊ2-̲௛㎾ࡡභ㫾㸝ࢪࢢ࣭࢛࣭ࣜࣁ࣭ࡊ࡙࠷ࡾ㸞ࡢᇱᮇἴ
࡚ຊ㏷࣓࣭ࢺ࡚࠵ࡾࠊ㧏ḗ࣓࣭ࢺ࡞ࡗ࠷࡙ࡢ᳠ゞ࠿࡝ࡈࡿ࡙࠷ࡾ@Bࠊ

㸨㸣27࢞ࢴ࣭࢜
27࡞ࡢࠉථᑏ࢞ࢴ࣭࢜ࠉථᑏࢱࣤࣈ࢞ࢴ࣭࢜ࠉཱི
ࡽฝࡊ࢞ࢴ࣭࢜࠿࠵ࡾࠊ௑ᅂࡢථᑏࢱࣤࣈ࢞ࢴ࣭࢜
@B࠽ࡻࡦཱིࡽฝࡊ࢞ࢴ࣭࢜㸝IF^RQH௘ᵕ㸞@Bࡡࡲῼᏽࡊࡒࠊ࢞ࢴ࣭࢜ࡢᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪ࠿ၡ㢗࡛࡝ࡾࡡ࡚ࠉᅒ㸨ࡡ᪁Ἢ㸝ཬᑏἪ㸞࡚ῼᏽࡊࡒ⤎ᯕࢅ♟ࡌࠊ ᅒ㸫: MR RF࢞ࣔࣄࢷ࢔⦢᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪᅒ㸩: MRථᑏࢱࣤࣈ࢞ࢴ࣭࢜ᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪᅒ㸪: MRཱིࡽฝࡊ࢞ࢴ࣭࢜ᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪ ᅒ㸬: MR RF࢞ࣔࣄࢷ࢔ᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪ
୕ᅒ㸯Ềᖲ᪁ྡྷࠊୖᅒ㸯ᆱ├᪁ྡྷࠉභ㫾ࡡ࠵ࡾ㒂ฦࡡࡲᣉኬࡊ࡙ࣈࣞࢴࢹࡊࡒࠊ
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Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)㸪㸣RCS ࢞ࢴ࣭࢜7(8࡞ࡢྋࡡཱིࡽฝࡊ࢞ࢴ࣭࢜࠿࠵ࡾ@Bࠊ௑ᅂࡢࡐࡿࡼࡡࣈࣞࢹࢰ࢕ࣈྋࢅῼᏽࡊࡒࠊᅒ㸨ࡡ᪁Ἢ㸝ཬᑏἪ㸞࡚ῼᏽࡊࡒࠊᅒ㸭 F ࡢ㐘㌹᫤࡛ྜྷᵕࡡࢢ࣭ࣇࣜ㒼⨠࡚ࡡ⤎ᯕ࡚࠵ࡾࠊ㟸ᖏ࡞ኬࡀ࡝࢕ࣤࣅ࣭ࢱࣤࢪ࡚࠵ࡽࠉスゝࣄ࣭࣑ᙁᗐ࡚ࡢ୘Ꮽᏽ࡛࡝ࡾ࡛஢ῼࡈࡿࡾࠊኬࡀ࠷ࢨ࣭ࣔࣈ࡝භ㫾ࡢࢢ࣭ࣇࣜ❻ࡡ࢕ࣤࣅ࣭ࢱࣤࢪ࣐࣬ࢪ࣏ࢴࢲ࡞ࡻࡖ࡙㉫ࡆࡖ࡙࠷ࡾ࡛⩻࠻ࡼࡿࡾࠊ☔ヾࡡࡒࡴࠉ㞹″ࡡࢦ࢕ࣚࢹࣞࣤฝງഁ࡞࣏ࢴࢲࣤࢡᢤᢘࢅ௛ࡄࡒሔྙ㸝ᅒ G 㸞ࠉ࢞ࢴ࣭࢜ᮇమࡡࢢ࣭ࣇࣜථງ❻࡞࣏ࢴࢲࣤࢡᢤᢘࢅ௛ࡄࡒሔྙ㸝ᅒ H 㸞ࢅㄢ࡬ࡒࠊ㸦᰾㎾ࡂ఩΅ࡈࡿࡾࡆ࡛࠿ࢂ࠾ࡾࠊᐁ㝷࡞ࡢࡆࡡࡻ࠹࡝㒼⨠ࡢࠉ࢞ࢴ࣭࢜ࡡທ☚࡛୦❟ࡊ࡝࠷ࡡ࡚ࠉᅒ㸮ࡡࡻ࠹࡞ࠉ࢞ࢴ࣭࢜ࡡທ☚࡞ᑊࡊ࡙ࡢࢱ࢕࢛࣭ࢺ࠿࢛࡚ࣤࢨ࣭ࣘࢹ≟ឺࠉࣄ࣭࣑࿔ᅂ᫤㸝࢞ࢴ࣭࢛࢜ࣆ᫤㸞࡚࣭ࢗ࢘ࢠ࡞ࡻࡾ㞹ᅸ࠿Ⓠ⏍ࡊࡒ᫤ࡢ༖ἴࡡࡲᢤᢘ࡚ᾐ㈕ࡈࡿࡾࡻ࠹࡝㒼⨠ࢅ⩻࠻࡙ࢷࢪࢹ୯࡚࠵ࡾ@Bࠊࡐࡡ௙࡞ࡵࠉ㐛㣤࿰ࣛ࢓ࢠࢹࣜࢅ౐⏕ࡌࡾ᪁Ἢ࠿࠵ࡾ࠿ @B ࠉ7(8࡚ࡢࠉ⌟≟࠾ࡼࡡን᭞ࢅᑚࡈࡂᢒ࠻ࡾሔྙࡢࠉྜྷࡋ㒼⨠ࢅཱིࡾࡆ࡛ࡢᅏ㞬࡚࠵ࡾࠊ

(a)

(b)

㸫㸣ࡱ࡛ࡴ

(c)

J-PARC RCS࠽ࡻࡦMR࡚ኬࡀ࡝⤎ྙ࢕ࣤࣅ࣭ࢱࣤࢪ″࡛⩻࠻ࡼࡿࡾᶭჹ࡞ࡗ࠷࡙ࠉ࣠࢕࣭ࣕࢅ౐ࡖࡒ࣊ࣤࢲῼᏽࢅ⾔࡝ࡖࡒࠊ࢞ࢴ࣭࢜ࡡᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪࡢスゝࣄ࣭࣑ᙁᗐ࡚ࡢ୘Ꮽᏽᛮࢅᘤࡀ㉫ࡆࡌ࡛⩻࠻ࡼࡿࡾኬࡀࡈ࡝ࡡ࡚ࠉᑊ➿ࢅ᳠ゞ୯࡚࠵ࡾࠊࡐࡡ࡝࠾࡚ࡵࠉࢱ࢕࢛࣭ࢺࢅ౐⏕ࡌࡾ᪁Ἢ࡞ࡗ࠷࡙ࡡ஢ങῼᏽ࠿㐅⾔୯࡚࠵ࡾࠊཤ⩻ᩝ⊡[1] F. Caspers, in "Handbook of Accelerator Physics andEngineering", Eds. A. Chao and M. Tigner (1998).
[2] L. Walling et al., NIM A281 (1989) p.433.
[3] T. Toyama et al., HB2006 (2006) p.140.
[4] G. Nassibian and F. Sacherer,NIM 159 (1979) p.21.
[5] H. Hahn, Phys. Rev. ST Accel. Beams 7, 012001 (2004).
[6] Y. Shobuda, private communication.
[7] E. Nakamura et al., Proc. of the 4th Ann. Meeting of Part.
Acc. Soc. of Japan (2007).
[8] K. Koseki et al., these proceedings.
[9] K. Hasegawa et al., these proceedings.
[10] J. Kamiya et al., IEEE Trans. Appl. Supercond., vol. 16,No.2, June 2006, p.168[11] Y. Chin et al., talk at ATAC2008.
[12] W. Zhang et al., EPAC2004 (2004) p.1810.

ᅒ㸭: RCS ཱིࡽฝࡊ࢞ࢴ࣭࢜ᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪ(a) ⌟ᅹࡡࢬࢴࢹ࢓ࢴࣈ(b) 㞹 ″ࡡ ࢦ࢕ࣚ ࢹࣞࣤ ฝງ ഁࢢ࣭ ࣇ࡚ࣜ ࢕ ࣤࣅ࣭ࢱࣤࢪᩒྙ(c) ࢞ࢴ࣭࢜ᮇమථງ㒂࡚࢕ࣤࣅ࣭ࢱࣤࢪᩒྙᅒ㸮: ࢞ࢴ࣭࢜ᶋ᪁ྡྷ࢕ࣤࣅ࣭ࢱࣤࢪ఩΅➿

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