৴߸ૹͱϊΠζ੍ٕज़ͷجૅ
1. ͡Ίʹ
ຊͷओςʔϚʮϏʔϜஅͷجૅʯͰ͕͢ɺຊ ߨٛओςʔϚͷதͰझΛҟʹͨ͠ʮ৴߸ૹ ͱϊΠζ੍ٕज़ͷجૅʯͱ͍͏ςʔϚͰߨٛΛ͍ͨ͠
ͱࢥ͍·͢ɻϏʔϜஅʹ༷ʑͳํ๏͕͋Γ·͕͢ɺ ຊߨٛͰͲͷΑ͏ͳϏʔϜஅͰ͋Ζ͏ͱڞ௨͢Δϊ Πζ੍ٕज़ͷجૅʹ͍ͭͯ·ͱΊ͍ͨͱࢥ͍·͢ɻච
ऀ͕ʹΓ·͞Εଓ͚ɺ࣮ࡍʹϏʔϜஅͷݚڀ Ͱܦݧ͜͠ͱʹ͍ͭͯͰ͖Δ͚ͩΘ͔Γ͘͢ղઆͨ͠
͍ͱࢥ͍·͢ɻ
ϊΠζ*1ͱɺຊޠͰࡶԻ༳Β͗ͱݺΕɺ Ұൠʹհऀѻ͍͞ΕΔ͜ͱ͕ଟ͍ͱࢥ͍·͢ɻզʑ͕
ϏʔϜஅͷࡍʹ৴߸Λ֬ೝ͠Α͏ͱ͢Δࡍɺ“ϊΠζ͕
େ͖ͯ͘৴߸Λ؍ଌ͢Δ͜ͱ͕Ͱ͖ͳ͍”ͱΛ͠͠
ݴ͏͜ͱ͕͋Γ·͢ɻ͜Εɺಘͯͯ͠༁͔Βͣϊ Πζͷॴҝʹͨ͠දݱͷҰྫͰ͢ɻ͔֬ʹݱʹ͓͚Δ ଌఆͰɺ͜ͷΑ͏ͳ͜ͱ͠͠ੜ͡·͕͢ɺͦΕ ͰϊΠζݯԿ͔ͱΘΕΔͱʹΘ͔ʹ͑ΒΕͳ
͍͜ͱ͕ଟ͍͜ͱࣄ࣮Ͱ͢ɻීஈɺϊΠζੜͷϝ ΧχζϜΛಥ͖٧Ίͯߟ͢Δ͜ͱ༨Γ͋Γ·ͤΜɻ
զʑ͕ৗతʹݟΔϊΠζɺ৴߸ૹిྗૹʹ
ؔΘΔ͜ͱ͕ଟ͍Ͱ͕͢ɺࣗવքʹ͞ΒʹٛͷϊΠ ζ͕ଘࡏ͠·͢ɻΞΠϯγϡλΠϯ͕ਫʹු͔ΜͩՖค ͷෆنଇͳӡಈ(ϒϥϯӡಈ)͔ΒݪࢠͷଘࡏΛ༧ݴ
ͨ͠[1]༗໊Ͱ͢ɻϒϥϯӡಈͦͷͷϊΠζ (༳Β͗)ͱಉͷੑ࣭Λ࣋ͭ͜ͱ͕ΒΕ͍ͯ·͢ɻଞ ʹɺ໘มಈͷඇपظతͳඍখৼಈͷۭ࣌ൃలɺ
ڧʹର͢Δͷൃੜසɺఱମͷ์ͭ์ࣹڧͷ࣌
ؒมԽɺ୯ࡉ๔ͷඍཻࢠͷӡಈɺٿද໘ͷԹมಈɺ
࣓ؾͷ࣌ؒมԽͳͲଟ͘ͷ๛ͳࣄྫ͕ΒΕ͍ͯ
·͢[2, 3]ɻ͜ͷΑ͏ͳࣄྫɺपྖҬͰଌఆ͢Δ
ͱ΄΅1/f (f: प)Ͱݮਰ͢ΔͷͰ1/f ϊΠζͱݺ
Ε·͢ɻ
ϒϥϯӡಈͷྫ͔ΒΘ͔ΔΑ͏ʹɺϊΠζͷഎޙ ʹਂͳཧ͕ଘࡏ͢Δ͜ͱ͕ଟ͘ڵຯਂ͍ͷ͕͋
Γ·͢ɻಛʹɺ໘มಈͷඇपظతͳඍখৼಈɺຊདྷ
ٿཧֶͷͰൃల͍ͯ͠ΔݚڀςʔϚͰ͕͢ɺ
େܕՃثͷΞϥΠϝϯτͱ͕ؔਂ͘ɺ࠷ۙͰՃ
ثݐઃॴͷબఆݐઃޙͷ҆ఆͳӡసʹ͚ͯॏཁͳ ݚڀςʔϚͷҰͭʹͳ͍ͬͯ·͢[4, 5]ɻ
*1ຊߨٛͰɺϊΠζɺࡶԻɺ༳Β͗ʹର۠͠ผͳ͘ಉٛޠͱ͠
ͯ༻͍͍ͯ·͢.
໘มಈͷΑ͏ͳඍখৼಈΛݚڀ͢Δʹɺٿ෦ ͷߏͱμΠφϛΫεͷৄࡉΛΔඞཁ͕͋Γ·͕͢ɺ
ৄࡉ͘͠ݸผͷཧաఔΛ͏͜ͱͰ͖·ͤΜɻ
͜ͷΑ͏ͳݚڀͰɺݹయతͳ֬աఔͱͯ͠ͷϒϥ
ϯӡಈͱಉ༷ʹղੳ͞Ε·͢[6, 7, 8]ɻՃثʹ͓
͍ͯ໘มಈͷඇपظతͳඍখৼಈ͕ɺ֬աఔͱ͠
ͯಋ͔ΕΔAT Lͷ๏ଇ[9, 10]ʹै͍ۭ࣌ൃల͢Δ͜
ͱ͕Α͏֬͘ೝ͞ΕΔΑ͏ʹͳΓɺ࣍ੈͷେܕՃ
ثͷݐઃʹͳͯ͘ͳΒͳ͍ख๏ͷҰͭʹͳ͍ͬͯ
·͢ɻ
͜ͷΑ͏ͳݚڀΛ௨ͯ͠ɺͲͷΑ͏ʹ֦େॖখͯ͠
ͦͷܗΛݩͱൺֱ͢Δͱ·ΔͰ૬ࣅܗͷΑ͏ʹෆมͰ͋
Δͱ͍͏৽ֶ͍͠ɺϑϥΫλϧ͕Ϛϯσϧϒϩʹ ΑΓ։͞Ε·ͨ͠[11]ɻචऀKEKిࢠཅిࢠೖࣹ
ث౩ʹ͓͍ͯ໘มಈͷඇपظతͳඍখৼಈΛ̍ʹ
Γ؍ଌͨ͠ͱ͜ΖɺͦͷσʔλͷதʹݟࣄʹϑϥΫλ ϧͷಛ͕ݟग़͞Εͨ͜ͱʹڻ͖·ͨ͠[12]ɻ͜ͷΑ͏
ʹϊΠζͷഎޙʹԿΒ͔ͷཧաఔ͕ଘࡏ͍ͯ͠Δͷ Ͱɺࠒ͔Βҙਂ͘؍Λ͍ͯ͠Εશ͘৽͍͠ཧ ݱʹૺ۰͢Δ͔͠Ε·ͤΜɻ
զʑ͕ීஈܦݧ͢Δͷɺిࢠճ࿏ిؾճ࿏ʹग़ݱ
͢ΔڱٛͷϊΠζͷ͜ͱͰ͢ɻैͬͯඍখ৴߸Λѻ͏
߹ɺԿʹϊΠζΛ੍͢Δ͔͕؊ཁʹͳΓ·͢ɻଟ
͘ͷछྨͷϊΠζ͕ଘࡏ͢Δ͜ͱ͕ΒΕ͍ͯ·͢ɻ֤
ϊΠζͷഎޙʹҟͳΔཧաఔͷଘࡏ͕Α͘ΒΕͯ
͓Γɺଟ͘ͷڭՊॻ[13, 14]Ͱղઆ͞Ε͍ͯ·͢ɻྫ͑
ࡶԻ[15, 16]ɺ߅ମͷࣗ༝ిࢠͷෆنଇͳ
ৼಈʹΑͬͯੜ͡ΔࡶԻͱͯ͠ΒΕ͓ͯΓɺճ࿏ઃܭ ʹ͔ܽͤ·ͤΜɻ
γϣοτࡶԻ[17]ɺిؾճ࿏ʹ͓͍ͯྲྀΕΔిࢠ ͷ͕ۃʹগͳ͍߹ɺిࢠͷ౷ܭతมಈ͕େ͖͘
ͳΔͨΊʹൃੜ͢ΔࡶԻͷ͜ͱͰ͢ɻେిྲྀΛѻ͏߹
༨Γؔ͠·ͤΜ͕ɺۃͳඍখిྲྀΛѻ͏߹ɺి
ࢠͷ౷ܭతมಈ༳Β͗ͱͯ͠ධՁ͢Δ͜ͱ͕Ͱ͖
·͢ɻ
ϑϦοΧʔࡶԻ[18, 19]ճ࿏ʹਵͯ͠ੜ͞ΕΔ ಛ༗ͷࡶԻͷ͜ͱͰɺճ࿏ૉࢠͷಛੑʹىҼ͢ΔͱݴΘ Ε͍ͯ·͢ɻ͜ͷࡶԻ1/f ࡶԻͷಛੑΛ͍࣋ͬͯ·
͢ɻ͜ΕΒͷྫɺճ࿏෦Ͱੜ͞ΕΔຊདྷతͳࡶԻ [20]ͷ͜ͱͰ͢ɻ͜͜Ͱز͔ͭͷࡶԻΛհ͠·ͨ͠
͕ɺ͜ΕΒҎ֎ʹཧաఔͷҟͳΔࡶԻ͕ଟΒΕ
͍ͯ·͢ɻཧաఔΑ͘ཧղ͞Ε͍ͯ·͢ͷͰɺ͜ͷ ࡍੋඇݪจΛಡΜͰΈΔ͜ͱΛ͓קΊ͠·͢ɻ
ۭؒΛ͢Δ֎དྷϊΠζɺؒతʹओ৴߸Λअຐ
͢ΔࡶԻͱͳΔͷͰۃྗ੍͖͢ରͱͳΓ·͢ɻ
੍ٕज़ͱͯ͠ɺಉ࣠έʔϒϧγʔϧυͷೋॏԽಉ࣠
νϣʔΫΛ༻͍ΔͳͲɺ͜ΕΒͷϊΠζ੍ޮՌଟ
͘ͷจݙ[21, 22, 23]Ͱطʹղੳ͞Ε͍ͯ·͢ɻྫ͑ɺ ಉ࣠έʔϒϧͷೋॏγʔϧυʹ͍ͭͯɺγʔϧυઢ ͷંߏɺγʔϧυް͞ɺ͞Βʹ֎෦ಋମΛߏ͢Δ ϫΠϠʔࡐྉͷిؾಋͱදൽਂ͞Λߟྀͨ͠γʔϧ υޮՌ͕ɺपʹର͢ΔୡΠϯϐʔμϯεͱ͍͏ܗ Ͱղੳ͞Ε͍ͯ·͢ɻೋॏγʔϧυͷޮՌɺൺֱత؆
୯ʹܭࢉ͢Δ͜ͱ͕Ͱ͖·͢ɻೋॏγʔϧυ͕௨ৗͷҰ
ॏγʔϧυʹൺͲΕ͘Β͍ͷޮՌΛൃش͢Δͷ͔Λੋ
ඇ֤ࣗͰܭࢉ͞ΕΔ͜ͱΛ͓קΊ͠·͢ɻ
ຊߨٛͰѻ͏ςʔϚɺ্هʹड़ͨϊΠζͱੑ࣭
Λҟʹ͠·͢ɻճ࿏෦Ͱੜ͞ΕΔຊདྷతͳࡶԻ֎
དྷϊΠζͱཧաఔ͕ҟͳΓɺෳͷ৴߸ઢͰ৴߸Λ
ૹ͢Δ߹ʹग़ݱ͢ΔϊΠζΛѻ͍·͢ɻ͜ͷϊΠζ ʹ͍ͭͯɺܦݧతʹΑ͘ΒΕ͍ͯ·͕ͨ͠[24]ɻ
͔͠͠ɺଟॏઢ࿏͔ΒͳΔૹճ࿏ʹର͢ΔϊΠζੜ
ͷཧ͕ݫີʹߏங͞Ε[25]ɺཧʹج͖࣮ͮࡍͷՃ
ثʹॳΊͯԠ༻͞Εͨͷ͘͝࠷ۙͷ͜ͱͰ͢[26]ɻ චऀɺKEKʹೖॴ͔ͯ͠ΒϏʔϜஅʹैࣄ
ͯ͠དྷ·͕ͨ͠ɺ࣮ࡍʹܦݧͨ͠ϊΠζͷΛղ
ܾ͢Δ͜ͱ͕Ͱ͖·ͤΜͰͨ͠ɻ͋Δ࣌KEKͰɺ͜ͷ ϊΠζཧͷߨٛΛௌߨ͢Δػձ͕͋Γ[27]ɺ͜ͷཧ
ΛԠ༻͢Ε·͍͠ϊΠζΛղܾͰ͖ΔͷͰͳ
͍͔ͱײతʹࢥ͍·ͨ͠ɻ৽ཧͷԠ༻ྫɺి࣓ੴ
ిݯ͔Βి࣓ੴʹڙڅ͞ΕΔిྗ৴ʹؔ͢ΔͷͰɺ ϊΠζରࡦޙͷ࣓ͷϦοϓϧϊΠζେ͖͘ݮ͞Ε
ͨͱใࠂ͞Ε·ͨ͠ɻ
ϏʔϜஅͷΑ͏ͳ৴߸ૹͷ߹ɺಉ࣠έʔϒϧ͕
ΘΕΔ͜ͱ͕ଟ͍ͷͰ͕͢ɺಉ࣠ߏΛ࣋ͬͨέʔϒ ϧʹ͓͚Δ৴߸ૹͰɺͲͷΑ͏ʹ৽ཧΛԠ༻͢Ε
Α͍ͷ͔͕ॳΑ͘Θ͔Γ·ͤΜͰͨ͠ɻͦͷޙɺ චऀͳΓʹݕ౼͠ɺΑ͏͘Ұͭͷ݁ʹୡ͠·ͨ͠ͷ Ͱɺ͜ͷݕ౼༰ΛຊηϛφʔͷςΩετͱͯ͠·ͱΊ Δ͜ͱʹ͠·ͨ͠ɻ
ϊΠζੜͱͦͷ੍ٕज़ʹؔ͢ΔڭՊॻଟ͘ଘ ࡏ͠·͕͢ɺຊߨٛͷ༰ɺ͜ͷΑ͏ͳڭՊॻʹه ࡌ͞Ε͍ͯͳ͍ɺචऀ͕ݱͰ࣮ࡍʹ؍ଌͨ͠՝ʹج
͍͍ͮͯ·͢ɻैͬͯຊ༰ɺಛఆͷϏʔϜஅʹݶ ఆ͢ΔͷͰͳ͘ɺՃثٕज़શൠʹԠ༻ՄೳͰ͢ɻ ຊߨٛͰɺϏʔϜஅͷྫͱͯ͠ύϧεϏʔϜͷి
ྲྀܭଌΛऔΓ্͛Δ͜ͱʹ͠·͢ɻ
ిࢠઢܗՃثʹ͓͚ΔύϧεϏʔϜͷిྲྀܭଌ (ύϧε෯≳1µs)ͰɺϑΣϥΠτίΞʔʹίΠϧΛଟ
ճר͍ͨిྲྀϞχλʔ[28]͕༻͍ΒΕΔ͜ͱ͕ଟ͍ɻ
͜ͷϞχλʔɺίΞʔϞχλʔ(CM)ɺτϩΠμϧϞ χλʔɺΧϨϯττϥϯεϑΥʔϚʔͱݺΕɺઢܗ ՃثͰ࠷جຊతͳϞχλʔͷҰͭͱͯ͘͠ར༻
͞Ε͍ͯ·͢ɻ
චऀͷॴଐ͢ΔKEKిࢠཅిࢠೖࣹث(ҎԼೖࣹث) Ͱɺ୯όϯνͷిࢠ·ཅిࢠϏʔϜΛੜ͢ΔΑ͏ʹ ͳΓCMͷར༻ແ͘ͳͬͯ͠·͍·͕ͨ͠ɺKEK
࣭ߏՊֶݚڀॴͷཅిࢠࢪઃͰখܕͷిࢠઢ ܗՃثΛར༻ͯ͠ཅిࢠΛੜ͍ͯ͠·͢ɻ
ཅిࢠࢪઃͰిࢠΛඪతʹরࣹ͠ཅిࢠ(Τωϧ ΪʔՄม/࠷େ35keV)Λੜ͠ɺݻମද໘ੑݪࢠ
ࢠཧֶͷݚڀ͕ਫ਼ྗతʹߦΘΕ͍ͯ·͢[29]ɻຊՃ
ثͰCMΛར༻ͯ͠ඇഁյͰϏʔϜిྲྀΛৗ࣌ܭଌ
͍ͯ͠·͢ɻ
͜ͷՃثͰطଘͷCMΛ2ͱ৽نʹ࡞ͨ͠
ಉ༷ͳϞχλʔ1ɺ߹ܭ3Λར༻ͯ͠ϏʔϜిྲྀΛ ܭଌ͍ͯ͠·͢ɻ৽نͷͷطଘͷͷΛࢀߟʹͯ͠
ಉ༷ʹ࡞ͨͭ͠ΓͰ͕ͨ͠ɺϊΠζ੍ͱ͍͏؍
͔Β͢ΔͱطଘϞχλʔͳ͘ར༻Ͱ͖͍ͯͨʹ
ؔΘΒͣɺ৽نϞχλʔϊΠζͷӨڹΛେ͖͘ड͚Δ
͜ͱʹͳΓ·ͨ͠ɻϊΠζݮٕज़ͷҰͭͱͯ͠༗ޮͳ νϣʔΫίΠϧΛ༻͍ͨϊΠζରࡦΛԿࢼΈ·ͨ͠
͕͜ͱ͝ͱࣦ͘ഊʹؼ͠·ͨ͠*2ɻ͜ͷΑ͏ͳܦݧ͕͜
ͷΛߟ͑Δग़ൃͱͳΓɺ͜͜ͰϊΠζੜͷݪཧ ʹཱͪͬͯߟ͑ΔඞཁੑʹഭΒΕ·ͨ͠ɻ
ઢܗՃثͰϊΠζੲ͔ΒհͳΛఏڙͯ͠
͍·͢ɻಛʹߴిྗΫϥΠετϩϯߴΩοΧʔۙ͘
ͷϏʔϜஅͰɺϊΠζΛආ͚Δ͜ͱ͕༷͘͠ʑͳ
ʹΑΓϊΠζ੍͕ࢼΈΒΕ͖ͯ·ͨ͠ɻ
ຊηϛφʔͰɺCMͷૹઢ࿏ͷجຊʹཱͪΓɺ
৴߸ૹͱϊΠζੜͷݪཧΛݕ౼͢Δ͜ͱʹ͠·͢ɻ
ৄࡉʹղੳͯ͠ߦ͘ͱɺطଘϞχλʔͱ৽نϞχλʔͰ
ɺάϥϯυ(Gnd.)ͷҐஔͱऔΓํʹຊ࣭తͳҧ͍͕
͋Γɺ͜ͷΘ͔ͣͳҧ͍͕৴߸ૹʹେ͖ͳӨڹΛ༩͑ɺ
࠷ऴతʹ৴߸ΈϊΠζੜͷݪҼʹͳ͍ͬͯΔ͜ͱ
͕Θ͔Γ·ͨ͠ɻ
ૹճ࿏ʹ͓͍ͯɺGnd.ͷऔΓํ͕؊ཁͰɺ৴߸
ૹͱϊΠζੜʹେ͖ؔ͘ΘΔͱ͍͏͜ͱΛ͓ͨ͠
͍ͱࢥ͍·͢ɻ
*2νϣʔΫίΠϧͱɺϦϯάঢ়ͷϑΣϥΠτίΞͳͲͷ࣓ੑମ ʹಉ࣠έʔϒϧΛϦϯάʹԊͬͯෳճר͖͚ͭͨͷΛݴ͍
·͢. ՃثࢪઃͰɺνϣʔΫίΠϧϊΠζ੍ٕज़ͷҰ
ͭͱͯ͠͠͠༻͍ΒΕ·͢. ࢢൢͷϑΣϥΠτίΞप
ಛੑ༨ΓΑ͋͘Γ·ͤΜ(f≲10 kHz).पಛੑͷൺֱ
తྑ͍(f≲100 kHz)ز͔ͭͷϑΣϥΠτίΞΛ༻͍ͯࢼݧ͠
·͕ͨ͠ɺϊΠζܗʹมԽશ͘ݟΒΕ·ͤΜͰͨ͠.
੍ٕज़ͱͯ͠ɺಉ࣠έʔϒϧγʔϧυͷೋॏԽಉ࣠
νϣʔΫΛ༻͍ΔͳͲɺ͜ΕΒͷϊΠζ੍ޮՌଟ
͘ͷจݙ[21, 22, 23]Ͱطʹղੳ͞Ε͍ͯ·͢ɻྫ͑ɺ ಉ࣠έʔϒϧͷೋॏγʔϧυʹ͍ͭͯɺγʔϧυઢ ͷંߏɺγʔϧυް͞ɺ͞Βʹ֎෦ಋମΛߏ͢Δ ϫΠϠʔࡐྉͷిؾಋͱදൽਂ͞Λߟྀͨ͠γʔϧ υޮՌ͕ɺपʹର͢ΔୡΠϯϐʔμϯεͱ͍͏ܗ Ͱղੳ͞Ε͍ͯ·͢ɻೋॏγʔϧυͷޮՌɺൺֱత؆
୯ʹܭࢉ͢Δ͜ͱ͕Ͱ͖·͢ɻೋॏγʔϧυ͕௨ৗͷҰ
ॏγʔϧυʹൺͲΕ͘Β͍ͷޮՌΛൃش͢Δͷ͔Λੋ
ඇ֤ࣗͰܭࢉ͞ΕΔ͜ͱΛ͓קΊ͠·͢ɻ
ຊߨٛͰѻ͏ςʔϚɺ্هʹड़ͨϊΠζͱੑ࣭
Λҟʹ͠·͢ɻճ࿏෦Ͱੜ͞ΕΔຊདྷతͳࡶԻ֎
དྷϊΠζͱཧաఔ͕ҟͳΓɺෳͷ৴߸ઢͰ৴߸Λ
ૹ͢Δ߹ʹग़ݱ͢ΔϊΠζΛѻ͍·͢ɻ͜ͷϊΠζ ʹ͍ͭͯɺܦݧతʹΑ͘ΒΕ͍ͯ·͕ͨ͠[24]ɻ
͔͠͠ɺଟॏઢ࿏͔ΒͳΔૹճ࿏ʹର͢ΔϊΠζੜ
ͷཧ͕ݫີʹߏங͞Ε[25]ɺཧʹج͖࣮ͮࡍͷՃ
ثʹॳΊͯԠ༻͞Εͨͷ͘͝࠷ۙͷ͜ͱͰ͢[26]ɻ චऀɺKEKʹೖॴ͔ͯ͠ΒϏʔϜஅʹैࣄ
ͯ͠དྷ·͕ͨ͠ɺ࣮ࡍʹܦݧͨ͠ϊΠζͷΛղ
ܾ͢Δ͜ͱ͕Ͱ͖·ͤΜͰͨ͠ɻ͋Δ࣌KEKͰɺ͜ͷ ϊΠζཧͷߨٛΛௌߨ͢Δػձ͕͋Γ[27]ɺ͜ͷཧ
ΛԠ༻͢Ε·͍͠ϊΠζΛղܾͰ͖ΔͷͰͳ
͍͔ͱײతʹࢥ͍·ͨ͠ɻ৽ཧͷԠ༻ྫɺి࣓ੴ
ిݯ͔Βి࣓ੴʹڙڅ͞ΕΔిྗ৴ʹؔ͢ΔͷͰɺ ϊΠζରࡦޙͷ࣓ͷϦοϓϧϊΠζେ͖͘ݮ͞Ε
ͨͱใࠂ͞Ε·ͨ͠ɻ
ϏʔϜஅͷΑ͏ͳ৴߸ૹͷ߹ɺಉ࣠έʔϒϧ͕
ΘΕΔ͜ͱ͕ଟ͍ͷͰ͕͢ɺಉ࣠ߏΛ࣋ͬͨέʔϒ ϧʹ͓͚Δ৴߸ૹͰɺͲͷΑ͏ʹ৽ཧΛԠ༻͢Ε
Α͍ͷ͔͕ॳΑ͘Θ͔Γ·ͤΜͰͨ͠ɻͦͷޙɺ චऀͳΓʹݕ౼͠ɺΑ͏͘Ұͭͷ݁ʹୡ͠·ͨ͠ͷ Ͱɺ͜ͷݕ౼༰ΛຊηϛφʔͷςΩετͱͯ͠·ͱΊ Δ͜ͱʹ͠·ͨ͠ɻ
ϊΠζੜͱͦͷ੍ٕज़ʹؔ͢ΔڭՊॻଟ͘ଘ ࡏ͠·͕͢ɺຊߨٛͷ༰ɺ͜ͷΑ͏ͳڭՊॻʹه ࡌ͞Ε͍ͯͳ͍ɺචऀ͕ݱͰ࣮ࡍʹ؍ଌͨ͠՝ʹج
͍͍ͮͯ·͢ɻैͬͯຊ༰ɺಛఆͷϏʔϜஅʹݶ ఆ͢ΔͷͰͳ͘ɺՃثٕज़શൠʹԠ༻ՄೳͰ͢ɻ ຊߨٛͰɺϏʔϜஅͷྫͱͯ͠ύϧεϏʔϜͷి
ྲྀܭଌΛऔΓ্͛Δ͜ͱʹ͠·͢ɻ
ిࢠઢܗՃثʹ͓͚ΔύϧεϏʔϜͷిྲྀܭଌ (ύϧε෯≳1µs)ͰɺϑΣϥΠτίΞʔʹίΠϧΛଟ
ճר͍ͨిྲྀϞχλʔ[28]͕༻͍ΒΕΔ͜ͱ͕ଟ͍ɻ
͜ͷϞχλʔɺίΞʔϞχλʔ(CM)ɺτϩΠμϧϞ χλʔɺΧϨϯττϥϯεϑΥʔϚʔͱݺΕɺઢܗ ՃثͰ࠷جຊతͳϞχλʔͷҰͭͱͯ͘͠ར༻
͞Ε͍ͯ·͢ɻ
චऀͷॴଐ͢ΔKEKిࢠཅిࢠೖࣹث(ҎԼೖࣹث) Ͱɺ୯όϯνͷిࢠ·ཅిࢠϏʔϜΛੜ͢ΔΑ͏ʹ ͳΓCMͷར༻ແ͘ͳͬͯ͠·͍·͕ͨ͠ɺKEK
࣭ߏՊֶݚڀॴͷཅిࢠࢪઃͰখܕͷిࢠઢ ܗՃثΛར༻ͯ͠ཅిࢠΛੜ͍ͯ͠·͢ɻ
ཅిࢠࢪઃͰిࢠΛඪతʹরࣹ͠ཅిࢠ(Τωϧ ΪʔՄม/࠷େ35keV)Λੜ͠ɺݻମද໘ੑݪࢠ
ࢠཧֶͷݚڀ͕ਫ਼ྗతʹߦΘΕ͍ͯ·͢[29]ɻຊՃ
ثͰCMΛར༻ͯ͠ඇഁյͰϏʔϜిྲྀΛৗ࣌ܭଌ
͍ͯ͠·͢ɻ
͜ͷՃثͰطଘͷCMΛ2ͱ৽نʹ࡞ͨ͠
ಉ༷ͳϞχλʔ1ɺ߹ܭ3Λར༻ͯ͠ϏʔϜిྲྀΛ ܭଌ͍ͯ͠·͢ɻ৽نͷͷطଘͷͷΛࢀߟʹͯ͠
ಉ༷ʹ࡞ͨͭ͠ΓͰ͕ͨ͠ɺϊΠζ੍ͱ͍͏؍
͔Β͢ΔͱطଘϞχλʔͳ͘ར༻Ͱ͖͍ͯͨʹ
ؔΘΒͣɺ৽نϞχλʔϊΠζͷӨڹΛେ͖͘ड͚Δ
͜ͱʹͳΓ·ͨ͠ɻϊΠζݮٕज़ͷҰͭͱͯ͠༗ޮͳ νϣʔΫίΠϧΛ༻͍ͨϊΠζରࡦΛԿࢼΈ·ͨ͠
͕͜ͱ͝ͱࣦ͘ഊʹؼ͠·ͨ͠*2ɻ͜ͷΑ͏ͳܦݧ͕͜
ͷΛߟ͑Δग़ൃͱͳΓɺ͜͜ͰϊΠζੜͷݪཧ ʹཱͪͬͯߟ͑ΔඞཁੑʹഭΒΕ·ͨ͠ɻ
ઢܗՃثͰϊΠζੲ͔ΒհͳΛఏڙͯ͠
͍·͢ɻಛʹߴిྗΫϥΠετϩϯߴΩοΧʔۙ͘
ͷϏʔϜஅͰɺϊΠζΛආ͚Δ͜ͱ͕༷͘͠ʑͳ
ʹΑΓϊΠζ੍͕ࢼΈΒΕ͖ͯ·ͨ͠ɻ
ຊηϛφʔͰɺCMͷૹઢ࿏ͷجຊʹཱͪΓɺ
৴߸ૹͱϊΠζੜͷݪཧΛݕ౼͢Δ͜ͱʹ͠·͢ɻ
ৄࡉʹղੳͯ͠ߦ͘ͱɺطଘϞχλʔͱ৽نϞχλʔͰ
ɺάϥϯυ(Gnd.)ͷҐஔͱऔΓํʹຊ࣭తͳҧ͍͕
͋Γɺ͜ͷΘ͔ͣͳҧ͍͕৴߸ૹʹେ͖ͳӨڹΛ༩͑ɺ
࠷ऴతʹ৴߸ΈϊΠζੜͷݪҼʹͳ͍ͬͯΔ͜ͱ
͕Θ͔Γ·ͨ͠ɻ
ૹճ࿏ʹ͓͍ͯɺGnd.ͷऔΓํ͕؊ཁͰɺ৴߸
ૹͱϊΠζੜʹେ͖ؔ͘ΘΔͱ͍͏͜ͱΛ͓ͨ͠
͍ͱࢥ͍·͢ɻ
*2νϣʔΫίΠϧͱɺϦϯάঢ়ͷϑΣϥΠτίΞͳͲͷ࣓ੑମ ʹಉ࣠έʔϒϧΛϦϯάʹԊͬͯෳճר͖͚ͭͨͷΛݴ͍
·͢. ՃثࢪઃͰɺνϣʔΫίΠϧϊΠζ੍ٕज़ͷҰ
ͭͱͯ͠͠͠༻͍ΒΕ·͢. ࢢൢͷϑΣϥΠτίΞप
ಛੑ༨ΓΑ͋͘Γ·ͤΜ(f≲10 kHz). पಛੑͷൺֱ
తྑ͍(f≲100 kHz)ز͔ͭͷϑΣϥΠτίΞΛ༻͍ͯࢼݧ͠
·͕ͨ͠ɺϊΠζܗʹมԽશ͘ݟΒΕ·ͤΜͰͨ͠.
2. ϏʔϜిྲྀܭଌͷجૅ
2.1. CMΛར༻ͨ͠ిྲྀܭଌ
ਤ1ʹཅిࢠࢪઃʹ͓͚ΔిࢠՃثͷུ֓ਤΛ
ࣔ͠·͢ɻ
ਤ 1 KEK࣭ߏՊֶݚڀॴཅిࢠ࣮ݧࢪ
ઃʹ͓͚ΔిࢠઢܗՃثͷϏʔϜϥΠϯུ֓ਤ; KL: klystron, P.B.: pre-buncher, ACC.: acceler- ator structure, PRM: profile monitor, GV: gate valve, HV: high voltage station.
͜ͷՃثయܕతͳখܕͷSόϯυిࢠՃثͰ
͢ɻӄۃ͔Β์ग़͞ΕΔిࢠΛϓϨόϯνϟʔٴͼ όϯνϟʔ͔ΒͳΔೖࣹ෦ͰϏʔϜΛू܈ͨ͠ޙɺՃ
ʹΑΓ55 MeV·ͰՃ͞Ε·͢ɻՃిࢠඪతʹ
রࣹ͞Εɺཅిࢠʹม͞Εͨޙɺ࣮ݧࣨͱ༌ૹ
͞ΕϢʔβʔ࣮ݧʹఏڙ͞Ε·͢ɻ͜ͷՃثͰܭ3
ͷCMΛՃثʹԊͬͯஔ͠ɺϏʔϜిྲྀΛৗ࣌ܭ ଌ͍ͯ͠·͢ɻطଘͷCM/2Λిࢠॐޙ(CM1)ͱ Ճग़ޱ(CM2)ʹஔ͠ɺ৽نͷCM/1Λඪతલ
(CM3)ʹஔ͍ͯ͠·͢ɻ
CMΛ༻͍ͨϏʔϜిྲྀܭଌͷݪཧΛਤ2ʹࣔ͠·
͢ɻϏʔϜ͕ਅۭύΠϓʹઃ͚ͨηϥϛοΫΪϟοϓΛ ௨ա͢Δͱ͖ɺΪϟοϓ͔Β࿙Ӯ͢Δࣗݾ(࣓)͕ ίΠϧͰݕग़͞Ε·͢ɻϏʔϜిྲྀʹൺྫͨ͠༠ಋిྲྀ
(I0)Λऴ߅(R0)ʹΑΓిѹ(V0)ʹม͠ɺͦͷৼ ෯Λܭଌ͢ΕϏʔϜిྲྀʹম͖͢͜ͱ͕Ͱ͖·͢ɻ
͜͜ͰϏʔϜͱίΠϧΛ1:N(N:ίΠϧר)ͷτϥ ϯεͱͯ͠ѻ͑ɺCMిѹ૿෯ثͱͯ͠࡞༻͠·͢ɻ
ిѹग़ྗಉ࣠έʔϒϧ(έʔϒϧl ∼20 m (CM1, CM2),l ∼15 m (CM3))ʹΑΓૹ͞ΕɺࢢൢͷΦγ ϩείʔϓ(ҎԼΦγϩ)Λ༻͍Ε৴߸ܗͱిѹৼ ෯Λ༰қʹܭଌ͢Δ͜ͱ͕Ͱ͖·͢ɻ৴߸ͷిѹৼ෯ຢ
໘ੵͷܭଌ͔Βࣄલܭଌ͞Εͨߍਖ਼Λࢉ͢Ε
Ib
Io
Vacuum pipe Ceramic
Magnetic fields Beam current
Induced current R0
Output voltage Vo
Coil CM e beam-
ਤ2 CMΛར༻ͨ͠ϏʔϜిྲྀܭଌʹ͓͚Δ৴߸ݕ ग़ͷݪཧ.
ిྲྀʹม͢Δ͜ͱ͕Ͱ͖·͢ɻ͜Ε͕CMʹΑΔ
ిྲྀܭଌͷجຊݪཧͰ͢ɻఆྔతͳղੳʹڵຯͷ͋Δํ
ଞͷจݙ[30]Λࢀরͯ͠Լ͍͞ɻ 2.2. CMͷػցతߏ
ਤ3ೖࣹثʹ͓͚ΔCMͷػցతߏΛࣔ͠ɺϏʔ Ϝଆ໘͔Βݟͨஅ໘ਤΛࣔ͠·͢ɻ
Spring BNC Receptacle
Aluminum Case RF Contactor
Spring 21
Internal terminator Toroidal Ferrite Core
Insulating Ceramic
Coil
φ 45mm Beam
Polyimide film
Test input Output
Polyimide film
1-Turn Calibration Coil
ਤ3 CMͷػցతߏଆ໘ਤ.
CM ి࣓γʔϧυ༻έʔε(Al)ͷ෦ʹೋ
ׂ͞ΕͨϑΣϥΠτίΞʔ(τʔΩϯ12001H[31])͕
Έࠐ·Ε͍ͯ·͢ɻͦͷ্ʹಋઢ͕25ճר͔
ΕɺಋઢBNCͷத৺ಋମͱGnd.ʹଓ͞Ε·͢ɻ BNCϙϦΠϛυϑΟϧϜ(৭)ΛڬΜͰిؾతʹ έʔε͔Βු͔ͤΔߏʹͳ͍ͬͯ·͢ɻίΞʔͷԼ
ʹ1λʔϯίΠϧʹ߅50 ΩΛྻଓ͠BNC ʹଓ͠·͢ɻ͜Εిྲྀߍਖ਼ͷͨΊͷςετύϧεೖ
ྗͱͳΓ·͢ɻ
ೋׂ͞ΕͨίΞʔ্Լ͔ΒόωͰڧ͘ԡ͞Εɺݻ ఆδάΛͬͯͦͷڥք໘ີண͞Εɺܭଌ࣌ͷ࣓࿙
Ӯ੍͕͞ΕΔߏʹͳ͍ͬͯ·͢ɻCMਅۭΛഁ
Δ͜ͱͳ͘ηϥϛοΫΪϟοϓʹண͞Εɺׂ෦ί Ξʔʹ͕ؒܺੜ͡ͳ͍Α͏ʹέʔεʹ։͚ͨ4ϲॴͷϘ
ϧτకΊͰਅۭύΠϓʹݻఆ͞ΕΔߏʹͳ͍ͬͯ·͢
(ਤ4ࢀর)ɻςετೖྗʹύϧε͕ೖྗ͢Δͱɺ1:N τ ϥϯεΛ௨ͯ͠ऴ߅ʹΑΓిѹ৴߸͕BNC͔Βग़
ྗ͞Ε·͢ɻਤ4ʹೖࣹثͰ࡞͞ΕͨCMΛࣔ͠·
͢ɻࠨ͕ίΠϧΛר͍ͨ৴߸ग़ྗ෦Λࣔ͠ɺӈ
ςετೖྗ෦Λ͍ࣔͯ͠·͢ɻ
ਤ4 ೋׂߏʹΑΔCM.ࠨ: ίΠϧΛר͍ͨ
৴߸ग़ྗ෦ɺӈ: ςετೖྗ෦.
3. ৴߸ૹղੳͷͨΊͷՁճ࿏
3.1. Ձճ࿏
ਤ5ʹ৴߸ૹղੳͷͨΊͷՁճ࿏Λࣜతʹࣔ͠
·͢ɻਤ5 (a)ܭଌγεςϜશମͷՁճ࿏Λࣔͨ͠
ਤ5 (a) CMʹΑΔిྲྀܭଌʹ͓͚Δ৴߸ૹղੳ
ͷͨΊͷՁճ࿏. ϏʔϜ(1λʔϯίΠϧ)ͱCM(ί Πϧ)ͱͷ૬ޓ࡞༻τϥϯεΛ༻͍ͯදݱ͞Ε͍ͯ
·͢. (b)ಉՁճ࿏. ͨͩ͠ɺτϥϯεΛCW৴߸
ݯʹஔ͖͍͑ͯ·͢.
ͷͰ͢ɻϏʔϜΛ1λʔϯίΠϧͱݟͳ͠ɺ1:Nτϥ ϯεΛհͯͦ͠ͷग़ྗΛಉ࣠έʔϒϧͰૹ͠৴߸ܗ
͕ΦγϩͰܭଌ͞Ε·͢ɻ
ਤ5 (b)৴߸ૹղੳͷͨΊͷՁճ࿏Λࣔ͠·͢ɻ
τϥϯεͷಛੑɺίΠϧؒͷ݁߹ͱଁ͢ΔϑΣ
ϥΠτίΞʔͷपಛੑʹΑΓܾ·Γ·͢ɻ͜͜Ͱ
ɺ؆୯ͷͨΊʹτϥϯεΛআ͖ɺͦͷΘΓిѹ৴߸
ݯʹஔ͖͍͑ͯ·͢ɻैͬͯɺݫີʹίΠϧؒͷ݁
߹ͷಛੑ͕ࣦΘΕΔ͜ͱʹͳΓ·͢ɻ͔͠͠ɺ͜ͷಛ
ੑCMग़ྗͷઈରʹؔΘΔͷͳͷͰڵຯ͋Γ
·ͤΜɻޙऀʹ͍ͭͯɺCMग़ྗͷपಛੑΛऔΓ
ೖΕͨిѹ৴߸ݯΛߟྀ͢Ε͋Γ·ͤΜɻ͢ͳΘ
ͪɺ৴߸ݯग़ྗ(VG)ʹΠϯμΫλϯεಛੑΛߟྀ͠ɺ ϑΣϥΠτίΞʔͷಁ࣓ͷपಛੑΛదʹऔΓೖ
ΕΔ͜ͱʹ͠·ͨ͠ɻ
͜͜ͰVG(ω)ʹର͠ҎԼͷΑ͏ͳपಛੑΛߟ
ྀ͢Δ͜ͱʹ͠·͢ɻ
VG(ω) =AjωL1(ω)I0 (1)
͜͜ͰɺL1ͱjωL1 ϑΣϥΠτίΞʔͷࣗݾΠϯμ ΫλϯεͱΠϯϐʔμϯεΛͦΕͧΕࣔ͠·͢ɻI0 ϏʔϜిྲྀͰ͢ɻAൺྫఆΛද͠·͕͢ɺݫີʹ
ίΠϧؒͷ݁߹Λ༻͍Εࢉग़͢Δ͜ͱ͕Ͱ͖·͢ɻ
৴߸ݯͰੜ͞Εͨ৴߸15 mͷಉ࣠έʔϒϧͰૹ
͞ΕɺΦγϩଂ50 ΩΛ௨ͯ͠ܗܭଌ͞Ε·͢ɻ Φγϩʹిݯ(୯૬ AC100 V)͕ଓ͞ΕΔ͚ͩ
ͰɺGnd.ઢੵۃతʹଓ͞Ε͍ͯ·ͤΜɻ͔͠͠
ͳ͕ΒɺΑ͘ݟΔͱిݯϥΠϯͷยଆΛ௨ͯ͠ిݯ༻
ి൫ͷ Gnd.(P S Gnd.)ʹଓ͞ΕΔ͜ͱʹͳΓ·͢ɻ
ैͬͯɺΦγϩͷೖྗࢠͱγϟʔγͷGnd.ࣗಈత ʹP S Gnd.ʹབྷͯ͠͠·͏͜ͱʹҙ͖͢Ͱ͢*3ɻ
ैͬͯɺೖྗ৴߸ͷిྲྀͷҰ෦ɺಉ࣠έʔϒϧͰͳ
͘P S Gnd.Λ௨ͯ͠ؼؐ͢Δ͜ͱʹͳΔͷͰҙ͕
ඞཁͰ͢ɻ
3.2. ৴߸ૹ࿏ʹ͓͚ΔGnd.ͷऔΓํ
ਤ5Λ͞ΒʹਐΊͨՁճ࿏Λਤ6ʹࣔ͠·͢ɻ͜ͷ ਤͰɺ৴߸ݯଆͰGnd.ʹབྷͤ͞ͳ͍߹ͱབྷ͞
ͤͨ߹ͷՁճ࿏Λ͍ࣔͯ͠·͢ɻ͜͜Ͱݴ͏Gnd.
ͱՃثͷάϥϯυΛද͠·͕͢ɺP S Gnd.ͱ۠ผ
͢ΔͨΊʹಛʹAcc Gnd.ͱه͓͖ͯ͠·͢ɻਤ1ʹ
ࣔ͢Α͏ʹAcc Gnd.ͱՃثຊମͷάϥϯυΛද͠
͍ͯ·͢ɻ
ै ͬ ͯ ɺCM ʹ ର ͢ Δ ά ϥ ϯ υ ͷ औ Γ ํ ͱ ͠ ͯ ɺ Acc Gnd.Λଓ͠ͳ͍ঢ়ଶ (Acc Gnd.ແ/off-state) ͱଓͨ͠ঢ়ଶ(Acc Gnd.༗/on-state)͕ଘࡏ͢Δ͜
ͱ͕ཧղͰ͖·͢ɻ
܁Γฦ͠ʹͳΓ·͕͢ɺલऀՃثຊମͷάϥϯυ
*3͜ͷ͜ͱɺΦγϩͷػछʹґଘ͢ΔͷͰචऀͷΦγϩͷάϥ ϯυଓ͕ۮʑ͜ͷΑ͏ʹͳ͍ͬͯͨͱ͍͏ͷ͕ਖ਼͍͠Α͏Ͱ
͢.
ϧτకΊͰਅۭύΠϓʹݻఆ͞ΕΔߏʹͳ͍ͬͯ·͢
(ਤ4ࢀর)ɻςετೖྗʹύϧε͕ೖྗ͢Δͱɺ1:N τ ϥϯεΛ௨ͯ͠ऴ߅ʹΑΓిѹ৴߸͕BNC͔Βग़
ྗ͞Ε·͢ɻਤ4ʹೖࣹثͰ࡞͞ΕͨCMΛࣔ͠·
͢ɻࠨ͕ίΠϧΛר͍ͨ৴߸ग़ྗ෦Λࣔ͠ɺӈ
ςετೖྗ෦Λ͍ࣔͯ͠·͢ɻ
ਤ4 ೋׂߏʹΑΔCM.ࠨ: ίΠϧΛר͍ͨ
৴߸ग़ྗ෦ɺӈ: ςετೖྗ෦.
3. ৴߸ૹղੳͷͨΊͷՁճ࿏
3.1. Ձճ࿏
ਤ5ʹ৴߸ૹղੳͷͨΊͷՁճ࿏Λࣜతʹࣔ͠
·͢ɻਤ5 (a)ܭଌγεςϜશମͷՁճ࿏Λࣔͨ͠
ਤ5 (a) CMʹΑΔిྲྀܭଌʹ͓͚Δ৴߸ૹղੳ
ͷͨΊͷՁճ࿏. ϏʔϜ(1λʔϯίΠϧ)ͱCM(ί Πϧ)ͱͷ૬ޓ࡞༻τϥϯεΛ༻͍ͯදݱ͞Ε͍ͯ
·͢. (b)ಉՁճ࿏. ͨͩ͠ɺτϥϯεΛCW৴߸
ݯʹஔ͖͍͑ͯ·͢.
ͷͰ͢ɻϏʔϜΛ1λʔϯίΠϧͱݟͳ͠ɺ1:Nτϥ ϯεΛհͯͦ͠ͷग़ྗΛಉ࣠έʔϒϧͰૹ͠৴߸ܗ
͕ΦγϩͰܭଌ͞Ε·͢ɻ
ਤ5 (b)৴߸ૹղੳͷͨΊͷՁճ࿏Λࣔ͠·͢ɻ
τϥϯεͷಛੑɺίΠϧؒͷ݁߹ͱଁ͢ΔϑΣ
ϥΠτίΞʔͷपಛੑʹΑΓܾ·Γ·͢ɻ͜͜Ͱ
ɺ؆୯ͷͨΊʹτϥϯεΛআ͖ɺͦͷΘΓిѹ৴߸
ݯʹஔ͖͍͑ͯ·͢ɻैͬͯɺݫີʹίΠϧؒͷ݁
߹ͷಛੑ͕ࣦΘΕΔ͜ͱʹͳΓ·͢ɻ͔͠͠ɺ͜ͷಛ
ੑCMग़ྗͷઈରʹؔΘΔͷͳͷͰڵຯ͋Γ
·ͤΜɻޙऀʹ͍ͭͯɺCMग़ྗͷपಛੑΛऔΓ
ೖΕͨిѹ৴߸ݯΛߟྀ͢Ε͋Γ·ͤΜɻ͢ͳΘ
ͪɺ৴߸ݯग़ྗ(VG)ʹΠϯμΫλϯεಛੑΛߟྀ͠ɺ ϑΣϥΠτίΞʔͷಁ࣓ͷपಛੑΛదʹऔΓೖ
ΕΔ͜ͱʹ͠·ͨ͠ɻ
͜͜ͰVG(ω)ʹର͠ҎԼͷΑ͏ͳपಛੑΛߟ
ྀ͢Δ͜ͱʹ͠·͢ɻ
VG(ω) =AjωL1(ω)I0 (1)
͜͜ͰɺL1ͱjωL1ϑΣϥΠτίΞʔͷࣗݾΠϯμ ΫλϯεͱΠϯϐʔμϯεΛͦΕͧΕࣔ͠·͢ɻI0 ϏʔϜిྲྀͰ͢ɻAൺྫఆΛද͠·͕͢ɺݫີʹ
ίΠϧؒͷ݁߹Λ༻͍Εࢉग़͢Δ͜ͱ͕Ͱ͖·͢ɻ
৴߸ݯͰੜ͞Εͨ৴߸15 mͷಉ࣠έʔϒϧͰૹ
͞ΕɺΦγϩଂ50 ΩΛ௨ͯ͠ܗܭଌ͞Ε·͢ɻ Φγϩʹిݯ(୯૬ AC100 V)͕ଓ͞ΕΔ͚ͩ
ͰɺGnd.ઢੵۃతʹଓ͞Ε͍ͯ·ͤΜɻ͔͠͠
ͳ͕ΒɺΑ͘ݟΔͱిݯϥΠϯͷยଆΛ௨ͯ͠ిݯ༻
ి൫ͷ Gnd.(P S Gnd.)ʹଓ͞ΕΔ͜ͱʹͳΓ·͢ɻ
ैͬͯɺΦγϩͷೖྗࢠͱγϟʔγͷGnd.ࣗಈత ʹP S Gnd.ʹབྷͯ͠͠·͏͜ͱʹҙ͖͢Ͱ͢*3ɻ
ैͬͯɺೖྗ৴߸ͷిྲྀͷҰ෦ɺಉ࣠έʔϒϧͰͳ
͘P S Gnd.Λ௨ͯ͠ؼؐ͢Δ͜ͱʹͳΔͷͰҙ͕
ඞཁͰ͢ɻ
3.2. ৴߸ૹ࿏ʹ͓͚ΔGnd.ͷऔΓํ
ਤ5Λ͞ΒʹਐΊͨՁճ࿏Λਤ6ʹࣔ͠·͢ɻ͜ͷ ਤͰɺ৴߸ݯଆͰGnd.ʹབྷͤ͞ͳ͍߹ͱབྷ͞
ͤͨ߹ͷՁճ࿏Λ͍ࣔͯ͠·͢ɻ͜͜Ͱݴ͏Gnd.
ͱՃثͷάϥϯυΛද͠·͕͢ɺP S Gnd.ͱ۠ผ
͢ΔͨΊʹಛʹAcc Gnd.ͱه͓͖ͯ͠·͢ɻਤ1ʹ
ࣔ͢Α͏ʹAcc Gnd.ͱՃثຊମͷάϥϯυΛද͠
͍ͯ·͢ɻ
ै ͬ ͯ ɺCM ʹ ର ͢ Δ ά ϥ ϯ υ ͷ औ Γ ํ ͱ ͠ ͯ ɺ Acc Gnd. Λଓ͠ͳ͍ঢ়ଶ(Acc Gnd.ແ/off-state) ͱଓͨ͠ঢ়ଶ(Acc Gnd.༗/on-state)͕ଘࡏ͢Δ͜
ͱ͕ཧղͰ͖·͢ɻ
܁Γฦ͠ʹͳΓ·͕͢ɺલऀՃثຊମͷάϥϯυ
*3͜ͷ͜ͱɺΦγϩͷػछʹґଘ͢ΔͷͰචऀͷΦγϩͷάϥ ϯυଓ͕ۮʑ͜ͷΑ͏ʹͳ͍ͬͯͨͱ͍͏ͷ͕ਖ਼͍͠Α͏Ͱ
͢.
ਤ6 ৴߸ݯଆͰGnd.ʹབྷͤ͞ͳ͍߹ͱབྷ͞
ͤͨ߹ͷ͞Βʹ֦ு͞ΕͨՁճ࿏.
ʹର͠ු͍͍ͯΔঢ়ଶΛࣔ͠ɺޙऀ͜Εʹର͠ಋ௨͠
͍ͯΔঢ়ଶΛࣔ͠·͢ɻ͜ͷ͜ͱɺޙͰΘ͔ͬͨ͜ͱ Ͱ͕͢ɺલऀ͕৽ن࡞ͨ͠CMʹ૬͠ɺޙऀ͕ط ଘͷCMʹ૬͍ͯ͠·͢ɻ৽نCMͰɺϙϦΠϛ υઈԑग़ྗBNCͷGnd.Λέʔε (Acc Gnd.)͔Β
ු͔ͤΔͨΊʹɺݻఆ༻ωδͱͯۚ͠ଐͷΘΓʹηϥ ϛοΫωδΛΘ͟Θ͟༻͍·ͨ͠(ਤ7ࢀর). ଞํɺط ଘCMͰϙϦΠϛυઈԑ͕͋ΔʹؔΘΒͣɺΑ͘ݟ Δͱۚଐωδ͕༻͍ΒΕ͍ͯ·ͨ͠*4ɻ
ਤ7 CMೖग़ྗ෦ͷ֦େਤ. BNCͱέʔεؒʹϙϦ ΠϛυϑΟϧϜ͕ૠೖ͞ΕɺBNCΛՃثάϥϯυ͔
Βઈԑ͢ΔͨΊͷηϥϛοΫωδ͕ݟ͑·͢.
4. ৴߸ૹղੳͷͨΊͷ४උ
4.1. Ձճ࿏
ਤ8ʹ৴߸ૹղੳͷͨΊͷՁճ࿏Λࣔ͠·͢ɻ
*4ॳɺචऀɺ͜ͷѻ͍ͷҙຯ͕Α͘ཧղͰ͖·ͤΜͰͨ͠.
͢ͳΘͪɺطଘCMʹϙϦΠϛυઈԑ͕ͳ͞Ε͍ͯͨͷͰɺ
વͷ͝ͱ͘CMͷGnd.ΛέʔεͷGnd.͔Βු͔͖͢
ͱߟ͑·ͨ͠. ·ͨ࣌ɺҰGnd.͕ྑ͍ͱ৴͡ෛՙଆͰ ͷΈGnd.ଓ͢ΕΑ͠ͱ͠ɺ৴߸ݯଆશͳϙϦΠϛυ ઈԑ͕༗ޮͰ͋Ζ͏ͱߟ͑·ͨ͠. ࠓ͔ΒৼΓฦΔͱɺલऀ
ʹΑΓߦΘΕͨطଘCMʹର͢Δ͜ͷΑ͏ͳѻ͍ɺGnd.ʹ ର͢ΔઈԑޮՌΛாফ͠ʹ͢ΔͷͰ͢. ݁Ռతʹ৴߸ݯଆͷ Acc Gnd.ͷ༗ແͱ͍͏Gnd.ͷऔΓํͷҧ͍͕৴߸ૹʹେ
͖ͳҧ͍ΛͨΒ͢͜ͱʹͳΓ·ͨ͠. ͜ͷ݁ΛಘΔͷʹਵ
ͱ࣌ؒΛཁ͠·ͨ͠.
ਤ8 ୈࡾͷάϥϯυઢ(Gnd. Line)ΛؚΜͩ৴߸
ૹղੳͷͨΊͷूதఆճ࿏ૉࢠͰදݱͨ͠Ձճ࿏.
ೋͭͷૹϞʔυ(dϞʔυͱcϞʔυ)ͷૹ࢟ଶ
ಉ࣌ʹද͍ࣔͯ͠·͢.
ਤ8ɺਤ6ʹରԠͯ͠ࠨଆʹ৴߸ݯ(ઢ࿏Ґஔج४
z= 0)Λஔ͠ɺ৴߸ɺಉ࣠έʔϒϧ(͞l)ʹΑ Δ৴߸ૹΛܦͯӈଆͷෛՙ(ઢ࿏Ґஔz=l)ʹૹ͞
Ε·͢ɻ৴߸ݯ(e1ɺe2)ͱ৴߸ݯͷ෦ෛՙ(Z1ɺZ2)ɺ
֎෦ෛՙ(Z4ɺZ5)ͱGnd. LineΠϯϐʔμϯε(Z3ɺ Z6)ղੳͷ֦ுੑͱରশੑΛߟྀ͠ूதఆͱͯ͠
ஔ͍ͯ͠·͢ɻ͜ΕΒૹઢ࿏ղੳͷͨΊͷجຊύϥ ϝʔλͱͳΓ·͢ɻ
ਤ 6 ͱ ͷ ର Ԡ Λ ߟ ͑ Δ ͱ ɺ͜ Ε Β ͷ ύ ϥ ϝ ʔ λ
e1 = VG(ω) ̸= 0ɺe2 = 0ɺZ1 = Z2 = 0ɺ Z4 = 50 ΩɺZ5 = 0 Ͱ ༩ ͑ Β Ε · ͢ ɻܭ ࢉ ʹ Α Δ ͱ ϑ Σ ϥ Π τ ί Ξ ʔ ͷ ࣗ ݾ Π ϯ μ Ϋ λ ϯ ε L1 ∼16 mH (ൺಁ࣓µr=12000 (
f ≲30×103Hz) ɺ µr(f)=4.1×108f−0.96(
f ≳30×103 Hz)
)ͱࢉग़Ͱ͖
·͢*5ɻճ࿏ͷରশੑ͔Β৴߸ݯͱ֎෦ෛՙଆͷ֤த
͔ΒGnd. Line͕Ҿ͖ग़͞Ε·͢ɻ
͜͜·ͰདྷΔͱͲ͏Ͱ͠ΐ͏͔ɺਤ8Λ͝ཡ͍ͩ͘͞ɻ
͜͜Ͱಉ࣠έʔϒϧɺLine1(த৺ಋମ)ͱLine2(֎ಋ ମ)Ͱߏ͞Ε·͢ɻ௨ৗͷճ࿏ਤͰ͜ΕͰॆͰ͢
͕ɺୈࡾͷάϥϯυઢ(Gnd. Line)͕͚ՃΘ͍ͬͯΔ
͜ͱ͕Θ͔Γ·͢ɻ͜ͷઢ࣮ΞʔεάϥϯυઢΛද
͍ͯ͠·͢ɻಉ࣠έʔϒϧೋຊઢͰߏ͞Ε·͕͢ɺ
ෳઢʹΑΔૹճ࿏ͱɺ࣮͜ͷΞʔεάϥϯυઢ
͕ՃΘͬͨࡾຊઢͷૹճ࿏Λද͍ͯ͠·͢ɻ͞Βʹ͜
ͷΞʔεάϥϯυઢʹɺ༨ܭͳΠϯϐʔμϯε(Z3ɺ Z6)͕͍͍ͯΔ͜ͱΘ͔Γ·͢ɻ͜ͷΞʔεάϥϯ υઢͱ༨ܭͳΠϯϐʔμϯεͷଘࡏ͕ૹճ࿏ʹग़ݱ͢
ΔϊΠζੜͷݪҼʹͳΔ͜ͱ͕ͬͯΘ͔Γ·͢ɻ
࣍અҎ߱Ͱଟॏઢ͔ΒΔૹઢ࿏ཧΛհ͠·
͢ɻ͔͠͠ɺͦͷલʹਤ8ʹࣔ͢Ձճ࿏ʹ͓͍࣮ͯࡍ ͷCMͰఆ͞ΕΔύϥϝʔλΛԾఆ͢Εɺ৴߸ૹ
*5पྖҬf≳30×103Hzʹ͓͚Δ࣓ؾಁ࣓ͷ߱Լप
ಛੑ(Χλϩά[31])͔ΒಡΈऔΓܭࢉʹऔΓೖΕ·ͨ͠.
͕ͲͷΑ͏ʹ࣮ݱ͞ΕΔͷ͔ΛܭࢉʹΑΓ࣮ײ͖ͯ͠
͍ͨͱࢥ͍·͢ɻҎԼʹɺͦͷܭࢉ݅Λ·ͱΊ͓͖ͯ
·͢ɻ
ܭࢉ݅(Case I)Ͱɺe1=VG(ω)ɺe2 = 0ɺZ3= Z6= 0ɺZ4= 50 ΩɺZ5= 0ͱ͓͖ɺਤ6ͷAcc Gnd.
༗ͷ߹ʹରԠͤ͞·͢ɻ͢ͳΘͪɺGnd. Lineʹ༨ܭ ͳΠϯϐʔμϯε͕ଘࡏ͠ͳ͍(Z3 =Z6= 0)ɺैͬͯ
Acc Gnd.ͱP S Gnd.ಉిҐʹͳΔɺͱ͍͏݅Ͱ
͢ɻZ4 = 50 ΩΦγϩଁͷऴ߅(ෛՙ)ͷ͜ͱ Ͱ͢ɻ·ͨɺిݯٴͼෛՙ͕ඇରশ(e1̸=e2ɺZ4̸=Z5) ʹஔ͞Ε͍ͯΔ͜ͱΛද͠·͢ɻ͜͜Ͱಛతͳ͜ͱ
ɺΦγϩͷάϥϯυP S Gnd.ৗʹಋ௨͍ͯ͠·͢
͕ɺిݯ෦ͷάϥϯυAcc Gnd.ͷಋ௨݅Λߟྀͯ͠
͍Δ͜ͱͰ͢ɻ͜ͷ݅طଘCMͷ݅ʹରԠ͠ɺ
ૹઢ࿏ͷجຊಛੑ͕ಘΒΕ·͢ɻ
ܭࢉ݅(Case II)Ͱɺe1=VG(ω)ɺe2= 0ɺZ3= +∞ɺZ6 = 0ɺZ4 = 50 ΩɺZ5 = 0ͱ͓͖ɺਤ6 ͷ Acc Gnd.ແͷ߹ʹରԠͤ͞·͢ɻ͜ͷܭࢉ݅ɺ Acc Gnd.ͷಋ௨݅ͷΈΛม͑ͨ߹ʹରԠ͠·͢ɻ
͜͜Ͱɺҙ͍ͨ͜͠ͱP S Gnd.ͱAcc Gnd.ͱ ͷؔͰ͢ɻՃثຊମ (ϏʔϜϥΠϯͷ͜ͱΛࢦ͠
·͢)ੵۃతʹGnd.ʹଓ͞Ε͍ͯ·ͤΜɻ͔͠
͠ɺਤ1ΛΑ͘ݟ͍ͯͩ͘͞ɻ͠৴߸ݯ෦ͷάϥϯ υAcc Gnd.͕ಋ௨͞ΕΔͳΒɺCM έʔε →ਅ
ۭύΠϓ→ Ճ→ಋ→ ΫϥΠετϩϯ → ΫϥΠετϩϯిݯ→ి൫Gnd.ͱ͍͏ܦ࿏(͜Ε ΛGnd. Line Ͱදͤ͞·͢)͕ด͡Δ͜ͱʹͳΓɺ Acc Gnd.ͱP S Gnd.͕݁߹͞ΕΔ͜ͱʹͳΔͷͰ͢ɻ
͜ͷ͜ͱ͕ՃثຊମੵۃతͰͳؒ͘తʹGnd.
ʹଓ͞ΕΔͱ͍͏͜ͱΛҙຯ͠·͢ɻैͬͯɺCM έʔε͕BNCGnd.ʹབྷ͍ͯ͠ΕɺAcc Gnd.ͱ P S Gnd.ಉ࣠έʔϒϧΛ௨ͯ͠Gnd.͕བྷ͞
ΕΔͱಉ࣌ʹɺGnd. Lineͱ͍͏ผͷܦ࿏Ͱ݁߹͢Δ
͜ͱʹͳΔ͜ͱ͕Θ͔Γ·͢ɻ
ҰൠతʹɺབྷͷΠϯϐʔμϯεGnd. Line ͷͦΕʹൺॆখ͘͞ɺಉ࣠έʔϒϧͷLine2͕৴
߸ిྲྀͷؼؐ࿏ʹͳΔͱߟ͑ͯΑ͍Ͱ͠ΐ͏ɻ͜ͷΑ͏
ͳ߹ɺ৴߸ݯଆͱ֎෦ෛՙଆͷGnd.ؒʹిҐࠩੜ
͡·ͤΜɻ͔͠͠ɺCMέʔε͕BNCGnd.ʹର͠ු
͍͍ͯΔ߹(Acc Gnd.ແ)ɺ͘͠Acc Gnd.༗ͷ ঢ়ଶͰͦͷܦ࿏্ʹԿΒ͔ͷΠϯϐʔμϯε͕ଘࡏ͢
Ε(Z3 ̸= 0, Z6 ̸= 0)ɺP S Gnd.ͱAcc Gnd.ؒͷ Gnd. LineʹΠϯϐʔμϯεʹԠͨ͡ిҐ͕ࠩੜ͡
Δ͜ͱʹͳΓ·͢ɻCase III͜ͷΑ͏ͳ߹Λఆ͠
ͨͷͰɺGnd. Line্ʹ༠ಋੑ(L= 0.33µH)ͱ
߅ੑΠϯϐʔμϯε(R = 15 Ω)ΛԾఆ͍ͯ͠·͢*6ɻ
͢ͳΘͪɺe1 =VG(ω)ɺe2 = 0ɺZ3 = (R+jωL)/2ɺ Z6= (R+jωL)/2ɺZ4= 50 ΩɺZ5= 0ͷ߹Λܭࢉ
݅(Case III)ͱ͠·ͨ͠ɻ
͜ ͷ Α ͏ ʹ ਤ 6 ʹ ࣔ ͢ ૹ ઢ ࿏ ୯ ७ ͳ ೋ ઢ ࿏ Ͱ͕͢ɺ࣮ਤ 8 ʹࣔ͢Α͏ʹ Gnd. ࡾ൪ͷઢ
(Gnd. Line)ͱͯ͠ผʹଘࡏ͢Δ͜ͱʹҙͯͩ͘͠
͍͞*7ɻϊΠζݯͱͯ͠͞Βʹe3 ͕Gnd. Line্ʹ ଘࡏ͢ΕɺP S Gnd.ͱAcc Gnd. ੑ࣭ͷ Α͍ Gnd.Ͱͳ͘ͳΓ·͢ɻ͜ͷ͜ͱɺࡾઢૹ ઢ࿏ʹಛ༗ͳݱͰGnd.Λ༳Β͢ݪҼͱͳΓɺ͏·
͘ରॲ͠ͳ͍ͱϊΠζੜ৴߸ܗͷΈΛҾ͖ى
͜͢ཁҼͱͳΔͷͰ͢ɻCase IIIͷෛՙஔͷରশੑ
(Z4 = Z5 = 50 Ω)Λ͞Βʹߟྀͨ͠߹Λܭࢉ݅
(Case IV)ͱ͠·ͨ͠ɻ͜ΕΒ4ͭͷܭࢉ݅ΛҎԼʹ
·ͱΊ·͢ɻ
ද1 ࡾຊઢͷૹઢ࿏ʹ͓͚Δܭࢉྫ. Case Acc Gnd. Gnd. Line Z [Ω]
Ext. Loads Z [Ω]
I ༗ Z3=Z6= 0
Z4= 50,Z5= 0 II ແ Z3= +∞, Z6= 0
Z4= 50,Z5= 0
III ༗ Z3=Z6= (R+jωL)/2
(R= 15 Ω, L= 0.33×10−6H) Z4= 50,Z5= 0
IV ༗ Z3=Z6= (R+jωL)/2
(R= 15 Ω, L= 0.33×10−6H) Z4=Z5= 50
Case I–IVʹରԠ͢Δ৴߸ૹಛੑͷܭࢉྫ 5અ
ʹࣔ͞Ε·͢ɻ͜͜Ͱಋೖͨ͠Ձճ࿏ϞσϧͰɺ Gnd. Line্ͷ৴߸ݯଆʹZ3ɺ֎෦ෛՙଆʹZ6Λूத ఆͱͯ͠ஔ͍ͯ͠·͢ɻ͔͠͠ɺ࣮ࡍ͜ΕΒͷू
தఆΛఆͱͯ͠ࢄͤ͞Δඞཁ͕͋Γ·͢ɻ͜
͜Ͱ؆୯ͷͨΊूதఆͱ͓͖ͯ͠·͢ɻ 4.2. ฏߧෆฏߧճ࿏ʹ͓͚Δ৴߸ૹ
ຊઅͰɺฏߧෆฏߧճ࿏(balanced-unbalanced cir- cuit)ʹ͍ͭͯղઆ͠·͢ɻਤ6ʹࣔ͞ΕͨՁճ࿏
*6߅ੑΠϯϐʔμϯεʹ͍ͭͯσδϘϧͰ࣮ଌͨ͠߅Ͱ
͢. ଞํɺલऀLCRϝʔλͰ࣮ଌͨ͠ΠϯμΫλϯεͰ͢
͕ɺपଳҬ͕ڱ͍(f≲10 kHz)ͷͰ৴པੑߴ͋͘Γ·
ͤΜ.
*7චऀذࢯͷߨٛΛฉ͍ͨޙɺॳΊͯ͜ͷߟ͑ΛཧղͰ͖Δ Α͏ʹͳΓ·ͨ͠.