イオン加速グリッド耐久認定用数値解析
JIEDI(JAXA Ion Engine Development Initiatives)
ツールの研究開発ワークショップ論文集
宇宙科学研究本部 船木 一幸 編
2010年2月
宇宙航空研究開発機構
Japan Aerospace Exploration Agency
宇宙航空研究開発機構研究開発報告
JAXA Research and Development Report
船木 一幸・國中 均・篠原 育・嶋 英志
JIEDI-1 ツールの開発(イオンエンジングリッド損耗評価コードの改良)
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・1 中野 正勝・ 梶村 好宏・船木 一幸
粒子法によるイオンエンジングリッド損耗解析
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・10 宮坂 武志・安里 勝雄・小林 勉・柴田 悠基
低エネルギー Xe 原子による炭素スパッタリングの分子動力学シュミレーション
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・21 村本 哲也・剣持 貴弘・百武 徹・西田 迪雄
低エネルギーカーボンスパッタリングに関する Xe 蓄積効果
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・26 剣持 貴弘・和田 元・百武 徹・村本 哲也・西田 迪雄
イオンエンジンにおけるビーム中和電子の粒子解析
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・32 臼井英之・鐘ヶ江将詩
レーザートムソン散乱法による小型マイクロ波放電型イオンエンジンにおけるプラズマ状態の測定
・・・・・・・・・・・・・・・39 山本 直嗣・富田 健太郎・真島 周・山崎 尚人・近藤 慎也
鶴 哲平・中島 秀紀・内野 喜一郎
イメージスキャナを用いた平板C/Cグリッド孔径の統計的分析
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・47 豊田 康裕・西山 和孝・國中 均
多チャンネル QCM を用いたディファレンシャル・スパッタリングの計測
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・53 西村 太一郎・小泉 宏之・國中 均・山極 芳樹
可視化イオンエンジンによるイオン抽出系評価
・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・60
中山 宜典・中野 正勝
ᗎ ᩥ
㏆ᖺࠊ㟁Ẽ࢚ࢿࣝࢠ࣮ࢆ⏝࠸࡚᥎㐍ࢆຍ㏿ࡍࡿ㟁Ẽ᥎㐍ࣟࢣࢵࢺࡢ㛤Ⓨࡀᛴࣆࢵࢳ࡛㐍ࢇ࡛࠾ࡾࠊከᩘࡢ㟼 Ṇ⾨ᫍࡢ༡㛫㌶㐨ไᚚ➼⏝࠸ࡽࢀࡿඹࠊ ᝨᫍ᥈ᰝᶵࡢ㌶㐨㛫㑄⛣⏝࢚ࣥࢪࣥࡋ࡚ࡶὀ┠ࡉࢀ࡚࠸ࡿࠋ 㟁Ẽ᥎㐍ࣟࢣࢵࢺࡢ୰࡛᭱ࡶ㧗࠸᥎㐍ᛶ⬟ࢆࡿ࢚࢜ࣥࣥࢪࣥࡣࠊᏛ᥎㐍ẚ࡚ࠊࡑࡢ᥎ຊࡣⴭࡋࡃᑠࡉ
࠸ࡀࠊẚ᥎ຊࡀ㠀ᖖ㧗࠸ࡢࡀ≉ᚩ࡛࠶ࡿࠋ࢚࢜ࣥࣥࢪࣥࢆ㸯ᖺࡽᩘᖺࡢ㛗ᮇ㛫⏝࠸ࡿ࡛ࠊ㟼Ṇ⾨ᫍࡢ࣌
࣮ࣟࢻ⋡ྥୖࡸ㛗ᑑࡀྍ⬟࡞ࡾࠊࡲࡓࠊᑠᝨᫍ᥈ᰝᶵࠕࡣࡸࡪࡉ࡛ࠖࡢᐇ⦼ࡀ♧ࡍࡼ࠺ࠊᝨᫍ᥈ᰝᶵ ࡢపࢥࢫࢺ࣭࣑ࢵࢩࣙࣥᮇ㛫▷⦰ࡀྍ⬟࡞ࡿࠋ
ከᵝ࡞Ᏹᐂ࣑ࢵࢩࣙࣥᛂࡌ࡚ᵝࠎ࡞ᵝࡢ࢚࢜ࣥࣥࢪࣥࡀᚲせ࡞ࡿࡀࠊ࢚࢜ࣥࣥࢪࣥࡢ㛤Ⓨ࣭ホ౯
ᚲせ࡞ᮇ㛫ࡣᩘᖺ㛗ࡃࠊࡇࡢᐇࡣࠊྛ✀࣑ࢵࢩࣙࣥࡢ࢚࢜ࣥࣥࢪࣥࡢ㏿ࡸ࡞ᢞධࢆጉࡆ࡚࠸ࡿࠋ≉ࠊ
࢚࢜ࣥࣥࢪࣥࡢ⪏ஂᛶホ౯ࡣ
1㛫㸦⣙
1.1ᖺ㸧௨ୖ㛗࠸ᮇ㛫ࡀᚲせࡉࢀࡿࡓࡵࠊ⪏ஂᛶホ౯ࡣ࢜
࢚ࣥࣥࢪࣥ㛤Ⓨᮇ㛫ࡢ㒊ศࢆ༨ࡵࡿ࠸࠺ࡇࡀ⌮ゎ࡛ࡁࡿࠋࡶࡋࡶ⪏ஂホ౯ࡢ୍㒊ࢆᩘ್ⓗ࡞ゎᯒࡺࡔࡡ
ࡿࡀ࡛ࡁࢀࡤࠊ࢚࢜ࣥࣥࢪࣥࡢ㛤Ⓨᮇ㛫ࢆᖜ▷⦰ࡍࡿࡇࡀྍ⬟࡛࠶ࢁ࠺ࠋࡇࡢࡼ࠺ࠊ࢚࢜ࣥࣥࢪ
ࣥࡢᩘ್ⓗ࡞ᑑホ౯ࢶ࣮ࣝᐤࡏࡽࢀࡿᮇᚅࡣࡁ࠸ࠋࡇࡢࡓࡵࠊJAXA ࡛ࡣࠊ࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻ㒊ࡢ
ᩘ್⪏ஂᛶホ౯
(JAXA Ion Engine Development Initiative, JIEDI)ࢶ࣮ࣝࡢ◊✲㛤Ⓨࢆᐇࡋ࡚࠸ࡿࠋJIEDI
ࢶ࣮࡛ࣝࡣࠊ㐣ཤࡢ㢮ఝ◊✲ࡣ␗࡞ࡾࠊᩘ್ࢶ࣮ࣝࡢᡂᗘࢆᐇ⏝ྍ⬟࡞ࣞ࣋ࣝࡲ࡛㧗ࡵ࡚ࠊ࢜ࣥ
࢚ࣥࢪࣥᐇᶵࡢタィࡸ⪏ஂᛶホ౯ᛂ⏝ࡍࡿࡇࢆ┠ᣦࡋ࡚࠸ࡿࠋ
2006-2007ᖺᗘᐇࡋࡓࠕ࢜ࣥຍ㏿ࢢࣜ
ࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩࣙࢵࣉ࡛ࠖࡣࠊ㸲ࡘࡢ◊✲㛤Ⓨࢸ࣮࣐㸸 Ѹ㧗㏿࡞࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻᦆ⪖ゎᯒࢶ࣮ࣝࡢ◊✲㛤Ⓨ
Ѹ࢚࢜ࣥࣥࢪࣥࣅ࣮࣒ࣞࢵࢺゎᯒ࠾ࡅࡿᩘ್ゎᯒண ⢭ᗘࡢホ౯ Ѹప࢚ࢿࣝࢠ࢟ࢭࣀࣥ࢜ࣥࡼࡿࢫࣃࢵࢱࣜࣥࢢ⌧㇟ࡢゎ᫂ࣔࢹࣜࣥࢢ Ѹ࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻゎᯒࢶ᳨࣮ࣝドࡢࡓࡵࡢᐇ㦂◊✲
ࢆ㑅ᐃࡋࠊࡇࢀࡽㄢ㢟㔜Ⅼⓗྲྀࡾ⤌ࡴࡇ࡞ࡗࡓࠋ
JIEDIࢶ࣮ࣝࡢ◊✲㛤ⓎࡣࠊᅜෆࡢᏛ➼◊✲ᶵ㛵ࡢ ༠ຊࢆᚓ࡞ࡀࡽ
JAXAሗ࣭ィ⟬ᕤᏛࢭࣥࢱ࣮
JAXAᏱᐂ⛉Ꮫ◊✲ᮏ㒊ࡀඹྠ࡛㐍ࡵ࡚࠾ࡾࠊ2011 ᖺᮎࡢ
JIEDI
ࢶ࣮ࣝᡂࢆ┠ᣦࡋ࡚࠸ࡿࠋ
ᮏㄽᩥ㞟ࡣࠊ
JIEDIࢶ࣮ࣝࡢ◊✲㛤Ⓨ㛵㐃◊✲ㄢ㢟ࡘ࠸࡚ࡢࡇࢀࡲ࡛ࡢᡂᯝࢆࠊྜィ㸷⦅ࡢㄽᩥࡋ࡚ࡲ
ࡵࡓࡶࡢ࡛࠶ࡿࠋᮏㄽᩥ㞟ࡀࠊ
JIEDIࢶ࣮ࣝࡢᡂࡢࡓࡵࠊࡑࡋ࡚ࠊᅜෆ࢚࢜ࣥࣥࢪࣥ◊✲ࢥ࣑ࣗࢽࢸ࣮
ࡢ᭦࡞ࡿⓎᒎࡢࡓࡵࡢ୍ຓ࡞ࢀࡤᖾ࠸࡛࠶ࡿࠋ
JAXA
Ᏹᐂ⛉Ꮫ◊✲ᮏ㒊
⯪ᮌ୍ᖾ ᅧ୰ ᆒ
JAXAሗ࣭ィ⟬ᕤᏛࢭࣥࢱ࣮
⠛ཎ ⫱
ᔱ ⱥᚿ
JIEDI-1 ࢶ࣮ࣝࡢ㛤Ⓨ㸦࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻᦆ⪖ホ౯ࢥ࣮ࢻࡢᨵⰋ㸧
୰㔝ṇ
1㸪Ლᮧዲᏹ
2㸪⯪ᮌ୍ᖾ
3Abstract㸸
Key words㸸
ࡣࡌࡵ
1 Tokyo Metropolitan College of Industrial Technology
2 Kyushu University (Presently, Kyoto University)
JIEDI-1 ࢶ࣮ࣝࡢ㛤Ⓨ㸦࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻᦆ⪖ホ౯ࢥ࣮ࢻࡢᨵⰋ㸧
୰㔝ṇ
1㸪Ლᮧዲᏹ
2㸪⯪ᮌ୍ᖾ
3Development of the JIEDI-1 tool : improvements to the grid erosion evaluation code developed in 2007
By
Masakatsu NAKANO1, Yoshihiro KAJIMURA2 and Ikkoh FUNAKI3
Abstract㸸Improvements have been made to the grid erosion evaluation code (JIEDI-1) to achieve robust convergence and to enhance the accuracies of grid life estimations. The major improved features of the code are 1) the use of Newton-Raphson method and the ICCG solver, 2) modifications of the inlet boundary conditions, 3) incorporation of the differential sputtering yield and redeposition effect of the grid material, and 4) solution-adaptive mesh generation. The last feature is realized by the commercial mesh generation software
“pro-STAR”. Numerical code prediction of grid mass loss showed good agreement with that of P10 ion engine life test, with robust convergence and improved simulation time by a factor of 3~4 in comparison with the previous code.
Key words㸸Ion engine , Grid erosion, P10, JIEDI-1, JIEDI tool, Life test
1. ࡣࡌࡵ
࢚࢜ࣥࣥࢪࣥࡣ᥎㐍ࢆࣉࣛࢬ࣐ࡉࡏ㸪࢜ࣥࢆ㟼㟁ຍ㏿ࡍࡿࡇ࡛᥎㐍ຊࢆᚓࡿᏱᐂ⏝ࡢࣟࢣࢵࢺ࢚ࣥ
ࢪ࡛ࣥ࠶ࡿ
1,2)㸬ࡢࣟࢣࢵࢺ࢚ࣥࢪࣥࡼࡾࡶ᥎㐍ᾘ㈝㔞ࡀᑡ࡞࠸Ⅼࢆ≉ᚩࡋ㸪῝Ᏹᐂ᥈ᰝᶵࡢ᥎㐍ࡸᆅ⌫
࿘ᅇ⾨ᫍࡢ㌶㐨࣭ጼໃไᚚ⏝࠸ࡽࢀࡿࡀ㸪᥎ຊࡀᴟࡵ࡚ప࠸ࡓࡵᩘ༓ࡽᩘ㛫ࡶཬࡪ㛗㛫ࡢసືࡀ せồࡉࢀࡿ㸬࢚࢜ࣥࣥࢪࣥࡣᾏእࢆ୰ᚰ᪤
100ྎࢆ㉺࠼ࡿᦚ㍕ᐇ⦼ࡀ࠶ࡿࡀ㸪ᶵ✀ࡈᐇ㛫ᑑホ౯ ヨ㦂ࢆ⤒࡚ᦚ㍕⮳ࡗ࡚࠸ࡿ㸬ᑠᝨᫍ᥈ᰝᶵࡣࡸࡪࡉᦚ㍕ࡢ
P10࢚࢜ࣥࣥࢪ࡛ࣥࡣ
18,000㛫ரࡿᑑ
ホ౯ヨ㦂ࢆ⾜ࡗࡓ
3)㸬ࡇࡢࡼ࠺㸪࢚࢜ࣥࣥࢪ࡛ࣥࡣ㛤Ⓨᮇ㛫ࡢከࡃࢆᑑホ౯ヨ㦂㈝ࡸࡉࡡࡤ࡞ࡽࡎ㸪ᨵ Ⰻࢆྵࡵࡓ᪂ᶵ✀㛤Ⓨࡀ㐍ࡳࡃ࠸㸬᭦࡞ࡿ㛗㛫సືࡀ㐩ᡂ࡛ࡁࢀࡤ㸪ࡼࡾᗈ⠊ᅖரࡿ῝Ᏹᐂ᥈ᰝࡸ⾨ᫍࡢ 㛗ᑑࡀᮇᚅ࡛ࡁࡿࡀ㸪సື㛫ࡢ㛗ᮇక࠸ᚲせ࡞ᑑホ౯ヨ㦂ࡶ㛗ᮇࡍࡿࡇࡽྛ✀࣑ࢵࢩࣙࣥ
ࡢࢱ࣒࣮ࣜ࡞࢚࢜ࣥࣥࢪࣥࡢᢞධࡀጉࡆࡽࢀ࡚࠸ࡿゝ࠼ࡼ࠺
.ࡇࡢᑑホ౯ヨ㦂ࢆᩘ್ゎᯒࡼࡗ࡚௦᭰ࡍࡿヨࡳࡀ㏆ᖺᅜෆእ࡛⢭ຊⓗ㐍ࡵࡽࢀ࡚࠾ࡾ㸪Ᏹᐂ⯟✵◊✲㛤
Ⓨᶵᵓࡼࡿ࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA Ion Engine Development Initiative)ࢶ࣮
ࣝࡢ◊✲㛤Ⓨࡶࡑࡢ୍ࡘ࡛࠶ࡿ
4, 5)㸬ᮏ✏࡛㏙ࡿ
JIEDI-1ࢶ࣮ࣝࡣ
JIEDIࢶ࣮ࣝ㛤Ⓨࡢ➨୍ẁ㝵ࡢࡶࡢ࡛࠶
ࡾ㸪ከᏍࡽ࡞ࡿ࢚࢜ࣥࣥࢪࣥຍ㏿㒊ࡢ୍Ꮝ╔┠ࡋ㸪ࡑࡇ࡛ᘬࡁ㉳ࡇࡉࢀࡿࢢࣜࢵࢻᦆ⪖ࢆゎᯒࡍࡿࡇ࡛
࢜ࣥຍ㏿⣔ࡢᑑࢆホ౯ࡍࡿࡇࢆ┠ⓗࡋ࡚㛤Ⓨࡀ⾜ࢃࢀ࡚࠸ࡿ㸬
࢚࢜ࣥࣥࢪࣥࡢᵓᡂせ⣲ࡢ୰࡛㸪࢜ࣥຍ㏿⣔ࡣ㸪༳ຍࡋࡓ㟁ᅽᕪࡼࡾ࢜ࣥࢆຍ㏿ࡍࡿࡶࡢ࡛㸪ࣉࣛࢬ
࣐⏕ᡂ㒊ࡶ࢚࢜ࣥࣥࢪࣥࢆᵓᡂࡍࡿ㔜せ࡞せ⣲࡛࠶ࡿ㸬ࡇࡢຍ㏿⣔ࡢ୰࡛㟁ࡀప࠸ຍ㏿ࢢࣜࢵࢻࡸῶ
㏿ࢢࣜࢵࢻࡣ㸪ຍ㏿㏵୰ࡢ࢜ࣥ୰ᛶ⢏Ꮚࡢ㛫ࡢ⾪✺࡛⏕ᡂࡋࡓ࢜ࣥࡸ୰ᛶ⢏Ꮚࡀ⾪✺ࡋ㸪ࢫࣃࢵࢱᦆ
⪖ࡀ㉳ࡇࡿࡇࡀ▱ࡽࢀ࡚࠸ࡿ
(ᅗ1)㸬ࡇࢀࡣ┤ὶᨺ㟁᪉ᘧࡸ࣐ࢡࣟἼᨺ㟁᪉ᘧ࡞ࡢࣉࣛࢬ࣐⏕ᡂἲࢆၥࢃࡎ㉳ࡇࡿ⌧㇟࡛࠶ࡾ㸪࢚࢜ࣥࣥࢪࣥ࠾ࡅࡿᑑไ㝈せᅉࡢ୍ࡘ࡛࠶ࡿ㸬
࢚࢜ࣥࣥࢪࣥࡢຍ㏿⣔ࢆホ౯ࡍࡿࢥ࣮ࢻࡣ
2ḟඖ㍈ᑐ⛠ࡢࡶࡢࡽ3 ḟඖࡢࡶࡢࡲ࡛ከࡃࡀ㛤Ⓨࡉࢀ࡚࠸ࡿ
6-12)
㸬ゎᯒᡭἲࡋ࡚ࡣ㸪ຍ㏿⣔ࡢ㟁ศᕸ࢜ࣥ㌶㐨ࢆィ⟬ࡼࡾ⮬ᕫ↓㡻╔ồࡵࡿࡶࡢ࡛㸪࢜ࣥࢆ
⢏Ꮚࡋ࡚ᢅ࠺
(PICἲ)㸪ὶࢀࢆᣢࡘࣅ࣮࣒ࡋ࡚ᢅ࠺ (flux-tube ἲ㸪
streamline-PICἲ)ูࡉࢀࡿࡶ
ࡢࡢ㸪ゎᯒᡭἲࡋ࡚ࡣ☜❧ࡋࡓẁ㝵࠶ࡿ㸬୍᪉࡛㸪࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻࡢᦆ⪖ホ౯ࢆᑐ㇟ࡋࡓゎᯒࡣ 㝈ࡽࢀ࡚࠾ࡾ㸪ᦆ⪖ཎᅉ࡞ࡿ⢏Ꮚࡋ࡚ࡶ㟁Ⲵ࢜ࣥࡢࡳࢆᢅࡗࡓࡶࡢࡀከ࠸㸬
2007ᖺᗘ㛤Ⓨࡉࢀࡓࢥ
࣮ࢻ࡛ࡣ㸪㟁Ⲵ⾪✺ຍ࠼㸪⾪✺ࡢ㝿⏕ᡂࡍࡿ୰ᛶ⢏Ꮚࡸᙎᛶ⾪✺࡞ࡢᙳ㡪ࢆྵࢇࡔᮏ᱁ⓗ࡞ゎᯒࡀึ
ࡵ࡚⾜ࢃࢀࡓࡀ
5)㸪୰㟁Ꮚ㏫ὶࡸࢢࣜࢵࢻࡢᵓ㐀◚ቯ࡞ࡢຍ㏿ࢢࣜࢵࢻ⣔ࡢᑑไ㝈せᅉࢆホ౯ࡍࡿࡣ㸪 ィ⟬ࡢࣟࣂࢫࢺࡸ⢭ᗘࡢྥୖࡀㄢ㢟࡛࠶ࡗࡓ㸬
ᮏ◊✲࡛ࡣ㸪
2007ᖺᗘᵓ⠏ࡋࡓࢥ࣮ࢻᨵⰋࢆ⾜࠺ࡇ࡛ࢶ࣮ࣝࡢᡂᗘࢆ㧗ࡵࡓ㸬ලయⓗ࡞ᨵⰋⅬࡋ࡚
ࡣ㸪1) ࣏ࢯࣥ᪉⛬ᘧࡢồゎ࠾ࡅࡿ
Newton-Raphsonἲ
ICCGἲࡢᑟධࡼࡿ᮰ᛶࡢྥୖ㧗㏿ࡢ
Xe+
Xe+
Xe+
Xe
┤᥋⾪✺
㟁Ⲵࠊᙎᛶ⾪✺
࢜ࣥࠊ୰ᛶ⢏Ꮚ
㟁Ⲵ࢜ࣥ
╔
ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ ຍ㏿ࢢࣜࢵࢻ ࢹࢭࣝࢢࣜࢵࢻ
࢜ࣥ
ࢩ࣮ࢫ ᨺ㟁ᐊ
ࣉࣛࢬ࣐
୰ࣉࣛࢬ࣐
ࢢࣜࢵࢻᮦ
1500 V 300 V 0 V
ᅗ
1࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻࡢᦆ⪖࣓࢝ࢽࢬ࣒
x y
z
ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㟁
IVຍ㏿ࢢࣜࢵࢻ㟁
IDࢹࢭࣝࢢࣜࢵࢻ㟁
IG30 㼻
r
sr
ar
dl
gt
st
al
dt
dl
eᅗ
2 JIEDI-1ࢥ࣮ࢻ࠾ࡅࡿゎᯒ㡿ᇦグྕࡢㄝ᫂
ᐇ⌧㸪
2)ὶ࢜ࣥࣅ࣮࣒ὶධቃ⏺᮲௳ࡢ☜❧㸪
3)ᚤศࢫࣃࢵࢱ⋡㸦ࢢࣜࢵࢻ⾲㠃ࡢධᑕゅࢫࣃࢵࢱ⋡ࡢ 㛵ಀ㸧ᦆ⪖ࡋ࡚ᨺฟࡉࢀࡓࢢࣜࢵࢻᮦࡢ╔ィ⟬ࡢᑐᛂ㸪4) 㧗⢭ᗘゎ㐺ྜゎᯒ࣓ࢵࢩࣗࡢ⏝
(pro-STAR
ࡢ⏝
)࡛࠶ࡿ㸬ᮏ✏࡛ࡣ㸪P10࢚࢜ࣥࣥࢪࣥࡢ⪏ஂᛶ⬟ヨ㦂⤖ᯝẚ㍑ࡍࡿࡇ࡛ࢥ࣮ࢻ᳨ドࢆ
⾜࠺ࡶ㸪᮰ᛶࡸィ⟬㛫࡞ࡢホ౯ࢆేࡏ࡚⾜ࡗࡓࡢ࡛㸪ࡑࢀࡽࡘ࠸࡚グࡍࡶࡢࡍࡿ㸬
2. ィ⟬ࣔࢹࣝࡢᨵⰋ
2.1. ィ⟬ࡢᴫせ
ࢢࣜࢵࢻᦆ⪖ィ⟬ࡢヲ⣽ࡘ࠸࡚ࡣ
2007ᖺᗘࡢሗ࿌᭩
13)グࡉࢀ࡚࠸ࡿࡓࡵ㸪ࡇࡇ࡛ࡣᴫせࢆ⡆₩グࡍ
ඹᨵⰋⅬࢆୗ⥺࡛♧ࡍࡶࡢࡍࡿ㸬
1)
ධຊࣃ࣓࣮ࣛࢱᑐᛂࡋ࡚㸪ึᮇ࣓ࢵࢩࣗࢆᵓ⠏ࡍࡿ (pro-STAR ࡢ⏝
)㸬 2)⮬⏤ศᏊὶィ⟬ࡼࡾࢢࣜࢵࢻ㛫ࡢ୰ᛶ⢏Ꮚศᕸࢆồࡵࡿ㸬
3)
㟁ศᕸὶ࢜ࣥࣅ࣮࣒ศᕸࢆ⧞㏉ࡋィ⟬ࡼࡾ⮬ᕫ↓㡻╔ồࡵࡿ㸬(Poisson ᪉⛬ᘧồゎࡢᨵⰋ
)㸬 4)୰ᛶ⢏Ꮚὶ࢜ࣥࣅ࣮࣒㛫ࡢ⾪✺ࢆホ౯ࡋ㸪ࢢࣜࢵࢻᦆ⪖ࢆࡶࡓࡽࡍ࢜ࣥ୰ᛶ⢏Ꮚࢆ㏣㊧ࡍࡿ㸬
5)ࢢࣜࢵࢻ⾪✺ࡍࡿ⢏Ꮚὶ᮰㸪࢚ࢿࣝࢠ࣮ཬࡧ⾪✺ゅࡽᚤศࢫࣃࢵࢱ⋡ࢆ⏝࠸࡚ᦆ⪖⢏Ꮚࡢ㣕ᩓ᪉ྥࢆỴ
ᐃࡍࡿྠࢫࣃࢵࢱ⋡ࢆホ౯ࡍࡿ㸬
6)
ᦆ⪖⢏Ꮚࡢ㌶㐨ࢆ㏣㊧ࡋ㸪╔⋡ࡽࢢࣜࢵࢻࡢሁ✚⋡ࢆồࡵࡿ㸬
7)
ᦆ⪖⋡ሁ✚⋡ࡢᕪࡽ୍ᐃ㛫ᚋࡢࢢࣜࢵࢻᙧ≧ࢆ
pro-STARࡼࡾồࡵ㸪ᚲせ㛫࡞ࡿࡲ࡛
2)ᡠ
ࡿࡇࢆ⧞ࡾ㏉ࡍ㸬
2007
ᖺᗘࣔࢹࣝࡽኚ᭦ࡉࢀࡓ⟠ᡤࡘ࠸࡚௨ୗㄝ᫂ࢆຍ࠼ࡿ㸬ゎᯒ㡿ᇦࡣ
2007ᖺᗘࣔࢹࣝྠࡌᅗ2
♧ࡉࢀࡿ
30°60°90°ᗘࡢ┤ゅ୕ゅᰕ㡿ᇦ࡛࠶ࡿ㸬ᅗ2ࡣᮏ✏࡛⏝ࡉࢀࡿグྕࡢᗄఱᙧ≧ࡢᐃ⩏ࡶ♧ࡍ㸬
2.2. ࣏ࢯࣥ᪉⛬ᘧࡢồゎ
㟁
Iࡣ㸪࢜ࣥ㟁Ꮚࡢ㟁Ⲵᐦᗘࢆ
Ui, Ueࡋ࡚㸪࣏ࢯࣥ᪉⛬ᘧ
I=
㻙㻔U
i㻙U
e) /HࡽỴᐃࡉࢀࡿ㸬ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻࡽຍ㏿ࢢࣜࢵࢻரࡿ✵㛫㟁Ⲵไ㝈㡿ᇦ࠾࠸࡚㟁Ꮚᐦᗘࡣ
0⪃࠼࡚
ࡼ࠸ࡀ㸪ᨺ㟁ᐊࡸຍ㏿ࢢࣜࢵࢻୗὶ࡛ࡣ㟁ᏊࡀᏑᅾࡍࡿࡓࡵ㸪ྑ㎶ࡢ㟁Ꮚᐦᗘࢆホ౯ࡋ࡞ࡃ࡚ࡣ࡞ࡽ࡞࠸㸬ࡑࡇ
࡛㸪㟁Ꮚᐦᗘࡣ㟁Ꮚ ᗘ
Te [eV]ࡢ࣎ࣝࢶ࣐ࣥࡢ㛵ಀᘧ࡛࠼ࡽࢀࡿࡶࡢࡋ࡚㸪ᒁᡤ㟁Iୗὶࣉࣛࢬ࣐㟁
Iࡢ㟁ᕪࡽḟࡢࡼ࠺ィ⟬ࡍࡿ㸬
Ue=Ueexp(㻔II/Te)
࢜ࣥࡢᐦᗘࡣὶࡢ࢜ࣥࣅ࣮࣒ࡢ㌶㐨ࢆゎࡃ㝿ྜࢃࡏ࡚ồࡵࡽࢀࡿ㸬
ࡇࡢ࣏ࢯࣥ᪉⛬ᘧࡣ᭷㝈せ⣲ἲࡼࡾ㸪
Kࢆᣑಀᩘ⾜ิ㸪
Fࢆ࣎ࣝࢶ࣐ࣥࡢ㛵ಀᘧ㉳ᅉࡍࡿ
exp㡯ࢆྵ
ࡴ㠀⥺ᙧ࣋ࢡࢺࣝ㛵ᩘࡋ࡚
KI= F (I)
᭩ࡃࡇࡀ࡛ࡁࡿ㸬
Newton-Raphsonἲࢆ⏝࠸㸪ྑ㎶ࢆ
1ḟࡲ࡛ᒎ㛤ࡍࡿࡇࡼࡾ
K (I'I)=F (I'I)ҸFIG'I 'I=
㻙㻌 㻔
K 㻙㻌G )㻙1㻔
KI 㻙㻌F )ࡽ㟁ࢆಟṇࡋ࡚࠸ࡃ㸬⾜ิゎἲࡣࢥࣞࢫ࣮࢟ศゎ๓ฎ⌮ࡁඹᙺ໙㓄ἲ
(ICCGἲ)ࢆ⏝࠸ࡓ㸬
2.3. ࢜ࣥࣅ࣮࣒㌶㐨ィ⟬ὶධ᮲௳
࢜ࣥࣅ࣮࣒ࡢ㌶㐨ࡣ㐠ື᪉⛬ᘧ
Mvvv = 㻙qI
ࢆゎࡃࡇࡼࡾỴᐃࡋࡓ㸬ࡇࡇ࡛㸪
Mࡣ࢜ࣥࡢ
㉁㔞㸪
vࡣ࢜ࣥࡢ㏿ᗘ࣋ࢡࢺࣝ㸪
qࡣ࢜ࣥࡢ㟁 Ⲵ࡛࠶ࡿ㸬୰ᛶཎᏊ㸦
XeཎᏊࡸࢢࣜࢵࢻᮦ)ࢆ㏣㊧
ࡍࡿ㝿ࡣྑ㎶ࢆ
0ࡋ࡚ィ⟬ࡍࡿ㸬
ὶ࢜ࣥࣅ࣮࣒ࡣୖὶቃ⏺ࡽὶධࡉࡏࡿࡀ㸪
ὶධ㏿ᗘ
uinlet࡞ࡽࡧୖὶቃ⏺࠾ࡅࡿࣉࣛࢬ࣐
ᐦᗘ
nࡣࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㏆ࢩ࣮ࢫࡀᙧᡂ ࡉࢀ࡚࠸ࡿࡇࡽḟࡢࡼ࠺Ỵᐃࡋࡓ 㸦ᅗ
3ཧ↷㸧 㸬
ࡍ࡞ࢃࡕ㸪ࢩ࣮ࢫࡀᙧᡂࡉࢀࡿࡣ㸪࣮࣒࣎᮲௳
ࡽᨺ㟁ᐊࣉࣛࢬ࣐㟁ࡽࢩ࣮ࢫ➃ࡲ࡛
I = Te /2 [eV]௨ୖࡢ㟁㝆ୗࡀᚲせ࡞ࡢ࡛㸪࣮࣒࣎㏿ᗘࢆ uB= (eTe/m i )0.5ࡋ࡚㸪ࣉࣛࢬ࣐ᐦᗘࢆ
n㸪ࢩ࣮ࢫ➃ࡢ㟁ᐦᗘࢆ
neࡍࢀࡤ
ne = nexp(㸫I/Te) = nexp(㸫0.5)
ࡀᡂࡾ❧ࡘ㸬ୖὶቃ⏺ࡽὶධࡍࡿ࢜ࣥࡢ㟁ὶᐦᗘ
Jiࡣࢩ࣮ࢫ➃࡛ࡶྠ୍࡛࠶ࡾ㸪ࣉࣛࢬ࣐ࡢ‽୰ᛶࡽ
Ji/e = n
uinlet (ୖὶቃ⏺) = ni
uB (ࢩ࣮ࢫ➃) = ne
uB (ࢩ࣮ࢫ➃)࡛࡞ࡅࢀࡤ࡞ࡽ࡞࠸㸬ࡇࡢᘧࢆゎࡃࡇ࡛㸪
uinlet = exp(㸫0.5)uB
n=Ji
exp(0.5)/
e/uB࡞ࡿ㸬
2007
ᖺᗘࡢࢥ࣮ࢻ࡛ࡣ࢜ࣥࡢὶධ㏿ᗘࢆ⇕㏿ᗘ࡛࠼࡚࠸ࡓࡀ㸪⇕㏿ᗘࡀ࣮࣒࣎㏿ᗘࡼࡾࡶᑠࡉ࠸ࡓࡵ㸪ୖ
ὶቃ⏺࠾ࡅࡿࣉࣛࢬ࣐ᐦᗘࡀࡁࡃ࡞ࡗ࡚࠸ࡓ㸬ࡑࡢ⤖ᯝ㸪ࢹࣂ㛗ࡀᑠࡉࡃ࡞ࡾ㸪ᚲせ࡞࣓ࢵࢩࣗᩘࡀከࡃ
࡞ࡗ࡚࠸ࡓ㸬ᅇࡢቃ⏺᮲௳ࡢᨵⰋࡼࡾᚲせ࡞᥋Ⅼᩘࢆ
20 %⛬ᗘ๐ῶࡍࡿࡇࡀྍ⬟࡛࠶ࡿ㸬࡞࠾㸪ቃ⏺᮲௳ࢆኚ࠼ࡓࡇࡼࡿࣅ࣮࣒㌶㐨ࡸࢢࣜࢵࢻᦆ⪖࠼ࡿᙳ㡪ࡣぢࡽࢀ࡚࠸࡞࠸㸬
2.4. ᚤศࢫࣃࢵࢱ⋡╔ࣔࢹࣝ
ࢢࣜࢵࢻ⾲㠃࠾ࡅࡿᦆ⪖㔞ࡣ㸪ࢢࣜࢵࢻࡢධᑕ⢏Ꮚࡢὶ᮰ࢆ
*㸪ࢫࣃࢵࢱ⋡ࢆ
Y㸪ࢢࣜࢵࢻࡢධᑕ࢚ࢿ
ࣝࢠ࣮ࢆ
E㸪ධᑕゅᗘࢆ
Tࡋ࡚㸪
*g = *
Y (E,T )ࡢ⥲ࢆྲྀࡿࡇ࡛࠼ࡽࢀࡿ㸬ධᑕཎᏊࡢᩘᑐࡋ࡚ࢀࡔࡅࡢࢢࣜࢵࢻཎᏊࡀ㣕ࡧฟࡍࢆ♧ࡍࢫࣃࢵࢱ⋡
ࡣᩥ⊩್
14-16)࡞ࡽ࠼ࡿࡇࡀ࡛ࡁࡿ㸬
୍᪉࡛㸪ࢫࣃࢵࢱࡉࢀࡓࢢࣜࢵࢻᮦᩱࡣᵝࠎ࡞᪉ྥᨺฟࡉࢀ㸪ࡢࢢࣜࢵࢻ⾲㠃㐩ࡍࡿࡶࡢࡶ࠶ࡿ㸬ࢢࣜ
ࢵࢻ⾲㠃㐩ࡋࡓཎᏊࡢከࡃࡣ㸦
C/C࡛ࡣ
78%ࡢሗ࿌17)࠶ࡾ㸧╔㸦╔㸧ࡍࡿࡇࡽ㸪ࢫࣃࢵࢱᦆ⪖ࡢ ホ౯ࡢ㝿ࡣ༢⣧࡞ࢫࣃࢵࢱ㔞ࡔࡅ࡛ࡣ࡞ࡃ㸪ࡇࡢ╔㔞ࢆῶࡌࡓ್࡛ホ౯ࡋ࡞ࡃ࡚ࡣ࡞ࡽ࡞࠸㸬ࡑࡢࡓࡵ
ࡣ㸪ᦆ⪖ࡉࢀࡓཎᏊࡢ㣕ᩓ᪉ྥࢆồࡵ㸪ࡇ╔ࡍࡿࡢࢆ㏣㊧ࡍࡿᚲせࡀ࠶ࡿ㸬
ὶ᮰
*ࢆᣢࡘධᑕ⢏Ꮚࡼࡗ࡚㸪ࢢࣜࢵࢻࡽぢ࡚(
Tp, Ip)᪉ྥ㣕ᩓࡉࢀࡿ㔞ࡣ㸪ᚤศࢫࣃࢵࢱ⋡
dYࢆ⏝
࠸࡚
d*gTpIp= *
dY (E,TTp,Ip)᭩ࡅࡿ㸬ࢢࣜࢵࢻධᑕࡍࡿ࢜ࣥ୰ᛶ⢏Ꮚࡢ࡚ࡘ࠸࡚ࢆྲྀࡿࡇ࡛㸪ࢢࣜࢵࢻࡽぢ࡚(
Tp,Ip)᪉ྥ
㣕ᩓࡍࡿὶ᮰ࡣ
*gTpIp= 6d*gTpIp
ồࡵࡿࡇࡀ࡛ࡁࡿ㸬
ୖὶቃ⏺
ࢩ࣮ࢫ㠃
uinlet uB
ni=ne n
ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ
୰ᚰ㍈
ຍ㏿ࢢࣜࢵࢻ
ᅗ
3 ୖὶቃ⏺᮲௳ࢥ࣮ࢻ࠾࠸࡚ࡣ㸪ࢢࣜࢵࢻ⾲㠃ᑐᛂࡍࡿせ⣲㠃ࡘ࠸࡚㸪ࡑࢀࢆそ࠺ࡼ࠺࡞௬ⓗ࡞༙⌫ࢆᐃࡋ㸪༙⌫
⾲㠃ࢆ➼❧యゅࡢࣃࢿࣝศࡋ࡚ࣃࢿࣝẖ㣕ᩓ㔞ࢆグ᠈ࡍࡿ㸬ὶ࢜ࣥ㸪㟁Ⲵ࢜ࣥ㸪ᙎᛶᩓ࢜
ࣥ㸪ࡑࢀࡽྠ⏕ᡂࡍࡿ୰ᛶ⢏Ꮚࡢࢢࣜࢵࢻࡢ⾪✺ࡼࡿ㣕ᩓ㔞ࢆࡑࢀࡒࢀồࡵ࡚ࢆྲྀࡿࡇ࡛㸪ࢢࣜ
ࢵࢻୖࡢ≉ᐃࡢሙᡤࡽྛ᪉ྥ㣕ᩓࡍࡿࢢࣜࢵࢻᮦࡢὶ᮰ࡀィ⟬࡛ࡁࡿ㸬
ࡑࡢᚋ㸪ศࡉࢀࡓ❧యゅࡢ୰ᚰ᪉ྥྥࡅ࡚ὶ᮰
*gTpIpࢆᣢࡘࢢࣜࢵࢻᮦࣅ࣮࣒ࢆᨺฟࡍࡿ㸬㌶㐨ࡢ㏣㊧᪉ ἲࡣ୰ᛶ⢏Ꮚ㌶㐨ィ⟬ྠࡌ࡛࠶ࡿ㸬ࣅ࣮࣒ࡀࡢࢢࣜࢵࢻ⾪✺ࡋࡓሙྜࡣ㸪╔⋡
Isࢆࡅࡿࡇ࡛
╔㔞
I s
* gTpIpࡀồࡲࡿ㸬
௨ୖࡼࡾ㸪ࢢࣜࢵࢻ⾲㠃࠾ࡅࡿᦆ⪖⋡╔⋡ࡀồࡲࡗࡓࡢ࡛㸪ᦆ⪖⋡ࡽ╔⋡ࢆᘬ࠸ࡓṇࡢᦆ
⪖⋡㐺ᙜ࡞㛫ᖜࢆࡅࡿࡇ࡛ࢢࣜࢵࢻ⾲㠃ࡢ㉁㔞ኚࡽయ✚ኚ㸪᥋Ⅼࡢ⨨ኚࡢ㡰࡛㸪ᦆ⪖ࡼࡿ
ࢢࣜࢵࢻᙧ≧ࡢኚࡀィ⟬࡛ࡁࡿ㸬
2.5. 㧗⢭ᗘゎ㐺ྜ࣓ࢵࢩࣗࢯࣇࢺࡢᑐᛂ
ᖺࡲ࡛ࡢࢥ࣮ࢻ࡛ࡣ➹⪅ࡀసᡂࡋࡓ࣓ࢵࢩࣗ⏕ᡂࢯࣇࢺࢆ⏝࠸࡚ゎᯒ࣓ࢵࢩࣗࢆᵓ⠏ࡋ࡚࠸ࡓࡀ㸪ᕷ㈍ࢯࣇ
ࢺ࢙࢘ᑐᛂࡍࢀࡤ⢭ᗘ࡞ࡽࡧ࠸ᡭࡀྥୖࡍࡿ㸬ࡑࡇ࡛(ᰴ
)ࢩ࣮ࢹ࣭ࢲࣉࢥ࣭ࢪࣕࣃࣥ (CDAJ)ࡀ㈍ࡍࡿỗ⏝⇕ὶయゎᯒࢯࣇࢺ࢙࢘ࠕSTAR-CDࠖࡢᶆ‽ࣉ࣏ࣜࢫࢺࣉࣟࢭࢵࢧࠕ
pro-STARࠖࢆ⏝࠸࡚ゎ㐺ྜ࣓ࢵࢩࣗᵓ⠏ࢆ⾜࠺ࡇࡋࡓ㸬࣓ࢵࢩࣗᵓ⠏࠾࠸࡚ࡣ㸪ࢢࣜࢵࢻࡢᏍᚄ㸪ཌࡉ㸪㛫㝸㸪ࢢࣜࢵࢻศᩘࢆᣦ ᐃࡍࡿࡇࡼࡾ㸪⮬ືⓗึᮇゎᯒ࣓ࢵࢩࣗࢆᵓ⠏ࡍࡿ࣐ࢡࣟࢆ㛤Ⓨࡋࡓ㸬⌧ᅾ㸪ࢢࣜࢵࢻゎᯒࢥ࣮ࢻࡽฟ ຊࡉࢀࡓࢢࣜࢵࢻ⾲㠃ࡢ᥋Ⅼ⛣ືࢹ࣮ࢱࢆᇶࡋ࡚㸪ᦆ⪖ࢆᫎࡋࡓ࣓ࢵࢩࣗࢆᵓ⠏࡛ࡁࡿࡼ࠺࣐ࢡࣟࡢ㛤Ⓨ
సᴗࢆ㐍ࡵ࡚࠸ࡿ㸬࡞࠾㸪ᖺᗘࡣ
pro-STARࢆ⏝ࡋࡓࡀ㸪ࡢࢯࣇࢺ࢙࡛࢘ࡶฟຊධຊࢹ࣮ࢱࡢࢥࣥࣂ
࣮ࢱࢆసᡂࡍࡿࡇ࡛ᑐᛂࡀྍ⬟࡞ᵝ࡞ࡗ࡚࠸ࡿ㸬
0 hr 4,000 hr 8,000 hr 12,000 hr
16,000 hr 20,000 hr 24,000 hr 28,000 hr
ᅗ
4 P10ࢢࣜࢵࢻࡢᙧ≧ኚᦆ⪖ᙉᗘண
(ᨺฟཎᏊᩘ/m2ѿs)
㧗⢭ᗘゎ㐺ྜ࣓ࢵࢩࣗࢯࣇࢺࡢᑐᛂ
0 hr 4,000 hr 8,000 hr 12,000 hr
16,000 hr 20,000 hr 24,000 hr 28,000 hr
ᅗ
4 μ10ࢢࣜࢵࢻࡢᙧ≧ኚᦆ⪖ᙉᗘண
(ᨺฟཎᏊᩘ/m2ѿs)
3. ィ⟬
ȣ10 EM2 ࡢ
C/Cࢢࣜࢵࢻຍ㏿⣔
18,19)ࡘ࠸࡚ᦆ⪖ࢆィ⟬ࡋ㸪ᐇ㦂⤖ᯝẚ㍑ࡍࡿࡇ࡛ࢥ࣮ࢻࡢጇᙜᛶࢆホ ౯ࡋࡓ㸬ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㸪ຍ㏿ࢢࣜࢵࢻ㸪ῶ㏿ࢢࣜࢵࢻࡢᏍᚄࡣ
3.0 mm, 1.8 mm, 2.5 mm㸪ྛࢢࣜࢵࢻࡢᖜࢆ
1.0 mm, 1.0 mm, 1.0 mm㸪㛫㝸ࢆ0.35 mm, 0.5 mmࡋ㸪ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻࡢ㛤ཱྀẚࢆ
0.67ࡋ࡚㸪
᥋Ⅼᩘ
23,107,せ⣲ᩘ
20,025ࡢ࣓ࢵࢩࣗࢆ⏝࠸࡚ィ⟬ࡋࡓ㸬࣓ࢵࢩࣗᵓ⠏࠾࠸࡚ࡣ㸪せ⣲ࡢ㍈᪉ྥ㛫㝸ࢆᨺ
㟁ᐊཬࡧ୰㡿ᇦ࡛ࢹࣂ㛗௨ୗ࡞ࡿࡼ࠺ࡋࡓ㸬
࢜ࣥࣅ࣮࣒ཬࡧ୰ᛶ⢏Ꮚὶ᮰ࢆỴᐃࡍࡿࡓࡵࡢసື᮲௳ࡋ࡚つ᱁ࣃ࣮ࣅࣥࢫ㸦NP/H㸧ࡢ್ࢆ 0.62
10㻙㻥A/V1.5
㸦
le= (lg2+rs2)1/2ࢆ⏝࠸ࡓ㸧ࡋ㸪᥎㐍⏝ຠ⋡ࢆ
83 %ࡋࡓ㸬ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㟁ᅽࡣ1,500 V㸪ຍ㏿ࢢࣜࢵࢻ㟁ᅽࡣ 㻙300V㸪ᨺ㟁ᐊࡢࣉࣛࢬ࣐㟁ࡣ
30 Vࡔࡅࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㟁ᅽࡼࡾࡶ㧗࠸
1,530 V ࡋࡓ㸬ᨺ㟁ᐊ࠾ࡼࡧୗὶࡢ୰㡿ᇦࡢ㟁Ꮚ ᗘࡣ
6 eVࡋ㸪୰ᛶ⢏Ꮚ㸪࢜ࣥ㸪ࢢࣜࢵࢻࡢྛ ᗘࡣ
373 K ࡋࡓ㸬ᨺ㟁ᐊධᑕࡍࡿ࢜ࣥࡢᐦᗘ㏿ᗘࡣ
2.3⠇ᚑࡗ࡚࠼㸪୰ᛶ⢏Ꮚࡢ㏿ᗘࡣ⇕㏿ᗘ࡛࠼ࡿࡶ㸪
NP/H᥎㐍⏝ຠ⋡ࡽồࡵࡓ୰ᛶ⢏Ꮚὶ᮰ࡼࡾ୰ᛶ⢏ᏊᐦᗘࢆỴᐃࡋࡓ㸬ࡲࡓ㸪ୗὶ࠾ࡅࡿ୰ࣉࣛࢬ
࣐ࡢᐦᗘࡣ㸪ୖὶቃ⏺࠾ࡅࡿ࢜ࣥὶ᮰ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㛤ཱྀẚࢆࡅࡓࡶࡢࢆ↓㝈㐲ࡢ࢜ࣥࣅ࣮࣒ࡢ
㏿ᗘ (2
eIs/M )0.5࡛㝖ࡍࡿࡇ࡛ồࡵ࡚࠸ࡿ㸬
᥎㐍࡛࠶ࡿ
Xe+㻙Xe 㛫ࡢ㟁Ⲵ⾪✺᩿㠃✚ࡣ
Vce= (17.35㻙2.34log(v))210
㻙20 m2ࢆ࠼㸪ᙎᛶᩓࡣ
Hard Sphereࣔࢹࣝ (V
els = 21.010㻙20 m2)ࢆ⏝࠸ࡓ㸬ୖὶቃ⏺ࡼࡾධᑕࡉࡏࡿὶ࢜ࣥࣅ࣮࣒ࡢᮏᩘࡣ୍ᵝ࡞㛫㝸࡛
56,651ᮏ㸦1 せ⣲࠶ࡓࡾ
276ᮏࡀ㏻㐣㸧ࢆ࠼㸪ࢫࣃࢵࢱィ⟬ࡢࡓࡵྛせ⣲ࡽὶฟࡉࡏࡿ㟁Ⲵ
࢜ࣥ୰ᛶ⢏Ꮚ㸪ᙎᛶ⾪✺࢜ࣥ⾪✺ࢆཷࡅࡓ୰ᛶ⢏Ꮚࡢᩘࡣせ⣲࠶ࡓࡾࡑࢀࡒࢀ
32࣌㸦ྜィ
128ಶ㸧
ࡋࡓ㸬ࡇࢀࡽ⢏ᏊࡢฟⓎ⨨ࡣࣛࣥࢲ࣒Ỵᐃࡋ㸪ᩘࡢ⏕ᡂࡣ࣓ࣝࢭࣥࢾࢶࢫࢱ (MT19937) ࢆ⏝࠸ࡓ㸬
࡞࠾㸪
2౯࢜ࣥࡢྜࡣ↓ど࡛ࡁࡿࡶࡢࡋ࡚ィ⟬ࡣྵࢇ࡛࠸࡞࠸㸬
⌧ᅾࡢࡇࢁ
C/Cࡢᚤศࢫࣃࢵࢱ⋡ࡋ࡚⏝ྍ⬟࡞ࢹ࣮ࢱ࣮࣋ࢫࡀᏑᅾࡋ࡞࠸ࡓࡵ
20)㸪ࢫࣃࢵࢱ⋡ࢆᩥ⊩
14,16)
ࡢ
Williamsࡽࡢࢹ࣮ࢱࢆ⏝࠸࡚ィ⟬ࡋࡓᚋ㸪ࢢࣜࢵࢻ⾲㠃ࡽἲ⥺᪉ྥぢࡿ✵㛫ࢆ
64ಶࡢ➼❧యゅศ
ࡋ࡚ᆒ➼࡞㔜ࡳ
(1/64) ࢆ࠼࡚ࢢࣜࢵࢻ⾲㠃ᮦࡢ㣕ᩓ⋡ࡋࡓ㸬ࡲࡓ㸪╔⋡ࡣᩥ⊩17)ࡽ
0.78࠼ࡿ
Accel grid mass change [mg/hole]
Accumulated operation time [hrs]
Redeposition factor = 0.78
No redeposition
Experiment
0 10000 20000 30000
-1.5 -1 -0.5 0
ᅗ5 ࣐ࢡࣟἼ࢚࢜ࣥࣥࢪࣥ
P10ࢢࣜࢵࢻ
1Ꮝ࠶ࡓࡾࡢ㉁㔞ኚ
1.E-04 1.E-03 1.E-02 1.E-01 1.E+00 1.E+01 1.E+02
0 50 100 150 200 250
Maximum |'I| [V]
Iteration number
ᅗ
6 㟁ィ⟬࠾ࡅࡿṧᕪࡢኚࡶࡢࡋ㸪╔ሙᡤࡼࡽ࡞࠸ࡶࡢࡋࡓ㸬ࢢࣜࢵࢻᙧ≧ࡢ᭦᪂࠶ࡓࡾ㸪㛫้ࡳࡣᖺᗘࡢ⤖ᯝࡶ㋃ࡲ࠼
't= 2,000 hrs
ࡋࡓ㸬ྛ㛫ࢫࢸࢵࣉẖࡢࢢࣜࢵࢻ㉁㔞ᦆ⪖㔞ࡽ
C/Cࡢẚ㔜ࢆ
1.7ࡋ࡚ࢢࣜࢵࢻࡢయ✚ኚ
ࢆồࡵ㸪᥋Ⅼࢆ⛣ືࡉࡏ࡚ᦆ⪖ᚋࡢ࣓ࢵࢩࣗࢆᵓ⠏ࡋࡓ㸬
ᅗ
4ࢢࣜࢵࢻ⾲㠃ᙧ≧ᦆ⪖ᙉᗘศᕸࢆ♧ࡍ㸬ᕥࡽࢫࢡ࣮ࣜࣥࢢࣜࢵࢻ㸪ຍ㏿ࢢࣜࢵࢻ㸪ῶ㏿ࢢࣜࢵࢻࡢ 㡰࡛࠶ࡿ㸬సື㛤ጞࡽ
28,000㛫ᚋࡲ࡛
4,000㛫ࡈ♧ࡋ࡚࠾ࡾ㸪ᦆ⪖ᙉᗘࡣ༢㛫༢㠃✚ࡽ
ᨺฟࡉࢀࡿཎᏊᩘ࡛Ⰽศࡅࡉࢀ࡚࠸ࡿ㸬 ྛࢢࣜࢵࢻࡢ୰࡛᭱ࡶᦆ⪖⋡ࡀ㧗࠸ࡢࡣຍ㏿ࢢࣜࢵࢻୗὶෆቨ㒊࡛࠶ࡾ㸪
⤒㐣㛫ඹຍ㏿ࢢࣜࢵࢻෆᚄࡀቑຍࡋ࡚࠸ࡿࡇࡀศࡿ㸬ຍ㏿ࢢࣜࢵࢻෆቨୗὶഃࡀ⃭ࡋࡃᦆ⪖ࢆཷࡅࡿ
࠸࠺⤖ᯝࡣᐇ㦂⤖ᯝ୍⮴ࡋ࡚࠸ࡿ㸬
ィ⟬ࡼࡗ࡚ᚓࡽࢀࡓຍ㏿ࢢࣜࢵࢻ㟁ὶࡣసື┤ᚋ࡛
0.65 PA࡛࠶ࡗࡓ㸬ࡑࡢෆヂࡣ㟁Ⲵ⾪✺ࡼࡿ࢜
ࣥࡀ 0.52 PA ࡛࠶ࡾ㸪ᙎᛶᩓ࢜ࣥࡼࡿࡶࡢࡀ
0.13 PA࡛࠶ࡗࡓ㸬㟁Ⲵ࢜ࣥࡢྜࡀ㧗࠸ࡶࡢࡢᙎ ᛶᩓࡼࡿ࢜ࣥࡶయࡢ
20 %ࢆ༨ࡵࡿࡇࡽ㸪ࡇࡢ⤖ᯝࡣ㸪㟁Ⲵ⾪✺ຍ࠼࡚ᙎᛶ⾪✺ࢆࣔࢹࣝࡍࡿᚲせࡀ࠶ࡿࡇࢆ♧ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪ࡇࡢ㟁ὶ್Ꮝᩘ
800ಶࢆࡅࡿࡇ࡛ࢢࣜࢵࢻ㟁ὶࢆホ౯ࡍࡿ
0.52 mA࡛࠶ࡗࡓ㸬⯪ᮌࡽࡢᐇ㦂
3)࡛ࡣຍ㏿ࢢࣜࢵࢻ㟁ὶ್ࡣ
0.5s0.05 mAሗ࿌ࡉࢀ࡚࠾ࡾ㸪ᐃ㔞ⓗࡶࡼ࠸୍
⮴ࢆ♧ࡋ࡚࠸ࡿ㸬
ᅗ
5ຍ㏿ࢢࣜࢵࢻࡢ㉁㔞ኚࢆᐇ⥺㸦╔⋡ 0.78㸧࡛♧ࡍࡶ㸪╔࡞ࡋࢆᐃࡋ࡚ィ⟬ࡋࡓ⤖
ᯝ㸦no redeposition㸧ࢆ◚⥺࡛♧ࡍ㸬╔ࡢᙳ㡪ࢆྵࢇ࡛ィ⟬ࡋࡓࡶࡢࡢ᪉ࡀ㸪ᐇ㦂ࢹ࣮ࢱ(ᩥ⊩
18ࡢ
Fig.7)ࡼ࠸୍⮴ࢆ♧ࡋ࡚࠸ࡿ㸬 ࡞࠾㸪ᮏィ⟬࡛ࡣࢫࣃࢵࢱࡉࢀࡓࢢࣜࢵࢻᮦᩱࡀ࡚ࡢ᪉ྥᆒ୍㣕ᩓࡍࡿ࠸࠺
⡆᫆ࡉࢀࡓࣔࢹ࡛ࣝィ⟬ࡋ࡚࠸ࡿࡀ㸪⌧ᅾⓒṊࡽࡼࡾ㛤Ⓨࡉࢀ࡚࠸ࡿᚤศࢫࣃࢵࢱ⋡ࣔࢹࣝࡢᑟධࡼࡾ
ᚋ᭦࡞ࡿィ⟬⢭ᗘࡢྥୖࡀᅗࡽࢀࡿ࡛࠶ࢁ࠺
21)㸬
ᅗ
6ࡣ࣏ࢯࣥ᪉⛬ᘧồゎ࠾ࡅࡿࢱ࣮ࣞࢩࣙࣥࡈࡢṧᕪ㸦㟁ಟṇ㔞ࡢ್᭱㸧ࡢኚࡢ
1࡛࠶ࡿ㸬 ṧᕪࡣࢱ࣮ࣞࢩࣙࣥࡈ༢ㄪῶᑡࡋ࡚࠾ࡾ㸪
250ᅇ๓ᚋ࡛
10-3 [V]௨ୗࡲ࡛ῶᑡࡍࡿ㸬ࡇࡢᏳᐃࡋࡓ㟁
ࡢ᮰ࡣ
Newton-Raphsonἲࡢ᥇⏝ࡼࡾࡶࡓࡽࡉࢀࡓ⪃࠼ࡽࢀࡿ㸬ࡲࡓ㸪ィ⟬㛫ࡣ
2007ᖺᗘసᡂࡢࢥ
࣮ࢻẚ࡚
3㹼5ಸ⛬ྥୖࡋࡓ㸬ࡇࢀࡣ
Newton-Raphsonἲࡼࡿ᮰ᛶࡢྥୖඹ㸪ୖὶቃ⏺᮲௳ࡢᨵⰋ
ࡼࡿ࣓ࢵࢩࣗᩘࡢ๐ῶ㸦
2007ᖺࢥ࣮ࢻẚ࡛
20 %⛬ᗘ㸧࡞ࡽࡧICCGࡢ᥇⏝ࡼࡿ⾜ิィ⟬ࡢ㧗㏿ࡀ⥲ྜ
ⓗᐤࡋࡓࡶࡢ⪃࠼ࡽࢀࡿ㸬
4. ࡲࡵ
2007
ᖺᗘ㛤Ⓨࡋࡓࢢࣜࢵࢻᦆ⪖ゎᯒࢥ࣮ࢻࡢᛶ⬟ྥୖࢆ┠ᣦࡋᨵⰋࢆࡋࡓ㸬ලయⓗࡣ
1)Newton-Raphson
ἲ
ICCGἲࡢᑟධࡼࡿ࣏ࢯࣥ᪉⛬ᘧồゎࡢ᮰ᛶࡢྥୖ㧗㏿㸪
2)࢜ࣥࣅ࣮࣒ὶ
ධቃ⏺ࡢᨵⰋࡼࡿ࣓ࢵࢩࣗᩘ๐ῶ㸪
3)ᚤศࢫࣃࢵࢱ⋡╔ィ⟬ࡢྲྀࡾ㎸ࡳ㸪
4)㧗⢭ᗘゎ㐺ྜ࣓ࢵࢩࣗࡢ ᵓ⠏ (pro-STAR ࡢ⏝)࡛࠶ࡿ㸬
P10࢚࢜ࣥࣥࢪࣥࡢᐇ㦂ࢹ࣮ࢱࢆ⏝࠸ࡓࢥ࣮ࢻ᳨ドࡢ⤖ᯝ㸪㟁ィ⟬ࡢ㧗࠸
᮰ᛶ㧗㏿ࡢᐇ⌧ࢆ☜ㄆࡍࡿࡶ㸪 ᚤศࢫࣃࢵࢱ⋡╔ࣔࢹࣝࡢᑟධࡼࡗ࡚ᐇ㦂್ࢆࡼࡾࡼࡃ
⌧ࡍࡿ⤖ᯝࢆᚓࡓ㸬ࡲࡓ㸪
pro-STARࢆ⏝࠸ࡿࡇ࡛㧗⢭ᗘゎ㐺ྜ࣓ࢵࢩࣗᵓ⠏సᴗࡀࢫ࣒࣮ࢬ࡞ࡗࡓ㸬ヲ⣽
࡞ᚤศࢫࣃࢵࢱ⋡ࢹ࣮ࢱ࣮࣋ࢫࡢᵓ⠏ࡸ࣓ࢵࢩࣗᵓ⠏࣐ࢡࣟࡢᨵⰋసᴗ࡞ᚋࡢㄢ㢟ࡣ࠶ࡿࡶࡢࡢ㸪 ࢜ࣥ
࢚ࣥࢪࣥࡢ㛤Ⓨ༑ศ⏝ྍ⬟࡞⪏ஂᛶ⬟ㄆᐃ⏝ࢩ࣑࣮ࣗࣞࢩࣙࣥࢥ࣮ࢻࡢ㛤Ⓨᡂຌࡋࡓ㸬
ㅰ㎡
࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨࢆᨭࡋ࡚ࡃࡔࡉࡗࡓ
JAXAሗࢩࢫࢸ࣒㒊㸪JAXA ሗ࣭ィ⟬ᕤᏛ
(JEDI)ࢭࣥࢱ࣮㸪࠾ࡼࡧ㸪㛗ᒸ⛉Ꮫᢏ⾡Ꮫ࣭ⳢගಙẶ 㸪ࢫࢱࢵࣇࢧ࣮ࣅࢫ࣭∾㔝ᾈྖẶ 㸪㛵㐃ࡢⓙᵝឤㅰࡢពࢆ⾲ࡋࡲࡍ㸬
ཧ⪃ᩥ⊩
[1]
Ⲩᕝ⩏༤, ᅧ୰ᆒ, ୰ᒣᐅ, すᒣᏕ㸪
“࢚࢜ࣥࣥࢪࣥࡼࡿືຊ⯟⾜͇,ࢥࣟࢼ♫, 2006, ➨
1❶.
[2]
ᰩᮌᜤ୍㸪Ⲩᕝ⩏༤⦅㸪 ͆㟁Ẽ᥎㐍ࣟࢣࢵࢺධ㛛͇ 㸪ᮾிᏛฟ∧㸪2003.
[3]
ᅧ୰ ᆒ, ᇼෆᗣ⏨, すᒣᏕ, ⯪ᮌ୍ᖾ, ΎỈᖾኵ, ᒣ⏣ဴဢ㸪
“ࡣࡸࡪࡉᦚ㍕࣐ࢡࣟἼᨺ㟁ᘧ࢚࢜ࣥࣥࢪࣥ”, ᪥ᮏ⯟✵ᏱᐂᏛㄅ, 53 (2005), pp. 203-210㸬
[4]
ᅧ୰ ᆒ㸪
“࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒJIEDI (JAXA' s Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨ”, ࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA's Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩࣙࢵࣉ
2006ᖺᗘሗ࿌᭩㸪JAXA-SP-06-019, 2007, pp. 5-9.
[5]
⯪ᮌ୍ᖾ㸪୰㔝ṇ㸪୰ᒣᐅ㸪Ლᮧዲᏹ㸪 ͆JIEDI ࢶ࣮ࣝ㛤Ⓨୖࡢㄢ㢟
2007ᖺᗘࡢάື᪉㔪
”㸪࢜ࣥ
ຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩ
ࣙࢵࣉ
2006ᖺᗘሗ࿌᭩㸪
JAXA-SP-06-019, pp.75-81.[6] Emhoff, J., W. and Boyd, I. D., “NEXT Ion Optics Modeling of Total Thruster Performance,” 41st AIAA/ASME/SAE/ASEE joint Propulsion Conference & Exhibit, Tucson, Arizona, July 2005.
[7] Farnell, C. C., Williams, J. D., and Wilbur, P. J., “NEXT Ion Optics Simulation Via ffx,” AIAA 2003-4869, 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Huntsville, AL, July 2003.
[8] Nakayama, Y. and Wilbur, P. J., “Numerical Simulation of Ion Beam Optics for Many-grid Systems,”
AIAA Journal of Propulsion and Power, Vol. 19, No. 4, 2001, pp. 607.613.
[9] Okawa, Y. and Takegahara, H., “Particle Simulation on Ion Beam Extraction Phenomena in an Ion Thruster,” 26th International Electric Propulsion Conference, IEPC 99-162, Oct. 1999.
[10] Wang. J., Polk. J., Brophy J. and Katz, I., “Three-Dimensional Particle Simulations of Ion-Optics Plasma Flow and Grid Erosion,” Journal of Propulsion and Power, Vol. 19, No. 6, pp.1192-1199.
[11] Wang, J., Caoy, Y., Kafafyy, R., Martinezz, R. and Williams, J., “Ion Impingement Limits of Sub-Scale Ion Optics: Comparison of Simulation and Experiment,” AIAA 2006-4999, 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 9-12 July 2006, Sacramento, California.
[12]
୰㔝ṇ, Ⲩᕝ⩏༤, ࢚͆࢜ࣥࣥࢪࣥࡢࢢࣜࢵࢻ⪏ஂᛶ⬟ィ⟬͇, ᪥ᮏ⯟✵ᏱᐂᏛㄽᩥ㞟 48(2000),
pp.111-117.[13]
୰㔝ṇ㸪“࢚࢜ࣥࣥࢪࣥࡢࢢࣜࢵࢻᦆ⪖ホ౯ࢥ࣮ࢻࡢᨵⰋ”㸪࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA Ion Engine Development Initiatives)
ࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩࣙࢵࣉ
2006ᖺᗘሗ࿌᭩㸪
JAXA-SP-06-019, pp.47-53.[14] Williams, J. D., Johnson M. L. and Williams, D. D., “Differential Sputtering Behavior of Pyrolytic Graphite and Carbon-Carbon Composite Under Xenon Bombardment,” AIAA 2004-3788, 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, 11-14 July 2004, Fort Lauderdale, Florida.
[15] Yamamura, Y. and Tahara, H., “Energy Dependence of Ion-Induced Sputtering Yields from Monatomic Solids at Normal Incidence,” Atomic Data and Nuclear Tables, Vol.62, No.2, 1996, pp.149-253.
[16] Zoerb, K. A., Williams, J. D., Williams D. D. and Yalin, A. P., “Differential Sputtering Yields of Refractory Metals by Xenon, Krypton, and Argon Ion Bombardment at Normal and Oblique Incidences,”
IEPC-2005-293, 29th International Electric Propulsion Conference, Princeton University, October 31-Novermber 4, 2005.
[17] Marker, C. L., Clemons, L. A., Banks, B. A., Miller, S., Snyder, A., Hung, C., Karniotis C. A. and Waters, D. L., “Transport of Sputtered Carbon During Ground-Based Life Testing of Ion Thrusters,”
NASA/TM-2005-213798, June 2005.
[18] Funaki, I., Kuninaka, H., Toki, K., Shimizu, Y., Nishiyama K. and Horiuchi, Y., “Verification Tests of Carbon-Carbon Composite Grids for Microwave Discharge Ion Thruster,” Journal of Propulsion and Power, Vol.18. No.1, pp.169-175.
[19] Funaki, I., Kuninaka H. and Toki, K., “Plasma Characterization of a 10-cm Diameter Microwave Discharge Ion Thruster,” Journal of Propulsion and Power, Vol. 20, No. 4, pp.718-727.
[20]
ᕝᜤᚿ㸪᪩ᕝᖾ⏨㸪ᮧṇ㸪“ࢢࣜࢵࢻᦆ⪖ホ౯ヨ㦂ᢏ⾡ࡢ⌧≧͇ 㸪࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್
ゎᯒ
JIEDI (JAXA Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩࣙࢵࣉ2006ᖺᗘሗ࿌᭩㸪
JAXA-SP-06-019, pp.13-19.[21]
ⓒṊᚭ㸪す⏣㏔㞝㸪ᣢ㈗ᘯ㸪ᮧᮏဴஓ㸪 ࢚͆࢜ࣥࣥࢪࣥຍ㏿ࢢࣜࢵࢻ࠾ࡅࡿࢫࣃࢵࢱࣜࣥࢢゎᯒྥ
ࡅ࡚”㸪࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI (JAXA Ion Engine Development Initiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨ࣮࣡ࢡࢩࣙࢵࣉ
2006ᖺᗘሗ࿌᭩㸪JAXA-SP-06-019, pp.59-63.
⢏Ꮚἲࡼࡿ࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻᦆ⪖ゎᯒ ᐑᆏ Ṋᚿ
㸨㸪Ᏻ㔛 㞝
㸨㸪ᑠᯘ ຮ
㸨㸪ᰘ⏣ ᝆᇶ
㸨Abstract㸸
Key words㸸
ࡣࡌࡵ
⢏Ꮚἲࡼࡿ࢚࢜ࣥࣥࢪࣥࢢࣜࢵࢻᦆ⪖ゎᯒ ᐑᆏ Ṋᚿ
㸨㸪Ᏻ㔛 㞝
㸨㸪ᑠᯘ ຮ
㸨㸪ᰘ⏣ ᝆᇶ
㸨Analyses of Grid Erosion for an Ion Engine Using Particle Simulations
By
Takeshi MIYASAKA㸨, Katuo ASATO㸨, Tsutomu KOBAYASHI㸨, and Yuuki SHIBATA㸨
Abstract㸸PIC codes are suitable to evaluate numerical models for JIEDI tools. We have developed a hybrid-PIC code taking account of the charge exchange ions. In the present study, for the purpose of analyzing more realistic flows, the code was extended to allow elastic scattering ions and neutrals and to treat electrons as particles. Using the full-PIC code, we performed 3-dimensional analyses of the standard problem derived from the experiments using the uniform upstream and downstream conditions. As a result, the validity of the code was basically confirmed by the evaluation of energy flux distribution to the accelerator grid and the comparison between the results of ion-impingements current and the experiments.
Key words㸸Electric Propulsion, Ion Engine, Particle Simulation, Grid Erosion, JIEDI
1. ࡣࡌࡵ
㏆ᖺࡢ࢚࢜ࣥࣥࢪ࣑ࣥࢵࢩࣙࣥࡢ㛗ᮇ㛫క࠸㸪ᐇ㛫࡛ࡢ⪏ஂヨ㦂௦ࢃࡿᩘ್ゎᯒࡼࡿ⪏ஂホ౯ࡢ ᚲせᛶࡀ㧗ࡲࡗ࡚ࡁ࡚࠾ࡾ㸪࢜ࣥຍ㏿ࢢࣜࢵࢻ⪏ஂㄆᐃ⏝ᩘ್ゎᯒ
JIEDI(JAXA Ion Engine DevelopmentInitiatives)ࢶ࣮ࣝࡢ◊✲㛤Ⓨࡀ㛤ጞࡉࢀࡓ[1]㸬ࡑࡢᐇ⏝ᛶࢆ⪃៖ࡍࢀࡤ㸪⪏ஂㄆᐃ⏝ࢶ࣮ࣝ᭱ࡶせồࡉࢀࡿⅬ
ࡋ࡚ホ౯⢭ᗘຍ࠼࡚ࡑࡢ㎿㏿ᛶࡀᣲࡆࡽࢀࡿ㸬࢚࢜ࣥࣥࢪࣥࡢゎᯒ࠾࠸࡚㸪ࡇࢀࡲ࡛ᵝࠎ࡞ࣔࢹࣝࢆ
㐺⏝ࡋࡓࢥ࣮ࢻࡀ⏝࠸ࡽࢀ࡚ࡁࡓࡀ[2-11]㸪ࢢࣜࢵࢻᦆ⪖ࢆ㎿㏿ࡘศ࡞⢭ᗘ࡛ᤊ࠼ࡽࢀ࡚ࡁࡓࡶࡢࡋ࡚㸪
࢜ࣥࣅ࣮࣒
Flux-tube(FT)ἲࢆ㐺⏝ࡋ㟁ᏊศᕸࢆBoltzmannศᕸࡽồࡵࡿ୰㔝ࡽࡼࡗ࡚㛤Ⓨࡉࢀࡓゎ ᯒࢥ࣮ࢻࢆᣲࡆࡿࡇࡀ࡛ࡁࡿ
[6, 7]㸬ࡑࡇ࡛㸪⌧ᅾJIEDIࢶ࣮ࣝࡣࡇࡢ”୰㔝ࢥ࣮ࢻ”ࢆᇶ㛤Ⓨࡀ㐍ࡵࡽࢀ࡚࠸
ࡿ㸬ࡋࡋ㸪ࢥ࣮ࢻࡣ࢜ࣥ㸪㟁Ꮚࡶ⢏Ꮚࡋ࡚࡛ࡣ࡞ࡃ㸪ὶࢀ࣭ศᕸࢆࣔࢹࣝࡋ࡚ᢅ࠺ࡓࡵ㸪ୖὶࢩ࣮
ࢫ㡿ᇦ㸪ୗὶ୰㡿ᇦ࠾࠸࡚⡆༢ࡉࢀࡓ᮲௳ࢆ㐺⏝ࡍࡿࡇ࡞ࡿ㸬≉㸪ᕝࡽࡢ㸰ḟඖゎᯒ
[8]ࡽ♧၀ࡉࢀࡿࡼ࠺
Maxwellศᕸᚑࡗ࡚࠸࡞࠸ࡇࡀணࡉࢀࡿୖὶࢩ࣮ࢫ㡿ᇦࡀゎᯒ⤖ᯝ࠼ࡿᙳ㡪ࡣ
↓ど࡛ࡁ࡞࠸ྍ⬟ᛶࡀ⪃࠼ࡽࢀ㸪⢏Ꮚࣞ࣋ࣝࡢゎᯒࡼࡿቃ⏺᮲௳㸪㟁Ꮚࣔࢹࣝホ౯ࡀ㔜せ࡞ࡗ࡚ࡃࡿ㸬ࡋࡓ
ࡀࡗ࡚㸪
Flux-tube㸪Boltzmannศᕸࡢ㐺⏝ࡼࡿࣔࢹࣝࡼࡗ࡚ᐃ㔞ᛶࡀ㔜どࡉࢀࡿᦆ⪖ゎᯒ࠼ࡿᙳ㡪࣭
ಙ㢗ᛶࡢホ౯ࢆᐇࡍࡿࡇࡣ㸪ࢶ࣮ࣝ㛤Ⓨ㐣⛬࡛ᚲせ࡞せ⣲࡛࠶ࡿ࠸࠼ࡿ㸬
ᡃࠎࡢࢢ࣮ࣝࣉ࡛ࡣ㸪ࡇࢀࡽࡢホ౯ࡘ࠸࡚ࣔࢹࣝࡢᑡ࡞࠸⢏Ꮚࢥ࣮ࢻࢆ⏝࠸࡚⾜࠺ࡇࢆ┠ⓗࢥ࣮ࢻ㛤
Ⓨ࣭ゎᯒࢆ㐍ࡵ࡚࠸ࡿ㸬࣭࢜ࣥ㟁Ꮚࡶ⢏Ꮚࡋ࡚ᢅ࠺ࢥ࣮ࢻࡋ࡚ࡣ
Full-PICࢥ࣮ࢻࡀᣲࡆࡽࢀࡿ㸬ࡋ
ࡋ㸪ࡇࢀࡲ࡛ࡢ࢚࢜ࣥࣥࢪࣥゎᯒ࡛ࡣ㸪࢜ࣥ̿㟁Ꮚ㛫ࡢ㉁㔞ࡢࡁ࡞㐪࠸ࡽ㸪㟁Ꮚࡣ
Boltzmannศᕸ
ࡽồࡵࡿ
Hybrid-PICࢥ࣮ࢻࡀ࡛࠶ࡾ㸪
Full-PICἲࢆ⏝࠸࡚࢚࢜ࣥࣥࢪࣥゎᯒࡀ⾜ࢃࢀࡓࡣඛ㏙ࡓ
ᕝࡽࡼࡿ㸰ḟඖゎᯒࢆྵࡵ㠀ᖖᑡ࡞ࡃ㸪㸱ḟඖゎᯒ฿ࡗ࡚ࡣࢇ⾜ࢃࢀ࡚࠸࡞࠸ࡢࡀ⌧≧࡛࠶ࡿ
[3, 8, 9]㸬
ࡑࡇ࡛㸪ᡃࠎࡣ㸪㸱ḟඖ
Full-PICࢥ࣮ࢻࡼࡿ
JIEDIࢶ࣮ࣝࡢ᭱⤊ⓗ࡞⢭ᗘ᳨ドཬࡧୖὶࢩ࣮ࢫ㸪ୗὶ୰
㡿ᇦ࠾ࡅࡿቃ⏺᮲௳➼ࡢᥦࢆ
2010ᖺࡲ࡛⾜࠺ࡇࢆ┠ᶆ㸪Full-PIC ࢥ࣮ࢻࡢ㛤Ⓨ࣭ゎᯒࢆ㛤ጞࡋࡓ㸬 ᮏᖺᗘ࡛ࡣࡲࡎ㸱ḟඖ
Full-PICࢥ࣮ࢻᮏయࡢ㛤Ⓨࢆ⾜࠸㸪᪩ᕝࡼࡗ࡚⾜ࢃࢀࡓᐇ㦂[10]ࡢ᮲௳ୗ࡛ゎᯒࢆ⾜࠺
ࡇ࡛㸪ࢥ࣮ࢻࡢጇᙜᛶࡢ᳨ドࢆヨࡳࡓ㸬ཧ↷ࡍࡿᐇ㦂ࡣ᥎㐍⏝ຠ⋡ࡀపࡃࢡࢭࣝࢢࣜࢵࢻ㟁ὶࡢᣲືࡀ
᫂☜ほᐹ࡛ࡁࡿࡇࡽ㸪ᦆ⪖ホ౯ࢥ࣮ࢻࡢ᳨ドࡋ࡚㐺ࡋ࡚࠸ࡿ࠸࠼ࡿ㸬ࡲࡓ㸪➨୍ẁ㝵ࡋ࡚ィ⟬㈇Ⲵ
ࢆపῶࡍࡿ┠ⓗ࡛㟁Ꮚ㉁㔞ࢆ࢜ࣥ㉁㔞➼ࡋࡃタᐃࡋ㸪ᇶᮏⓗ࡞ጇᙜᛶホ౯ࢆ⾜ࡗ࡚࠸ࡿ㸬ホ౯ࡣ㸪ࢡࢭࣝ
ࢢࣜࢵࢻ㟁ὶ㸭ࣅ࣮࣒㟁ὶẚ㸪ࢡࢭࣝࢢࣜࢵࢻୗὶ㠃ࡢ࢜ࣥ⾪✺ศᕸࡘ࠸࡚⾜ࢃࢀࡓ㸬ࡲࡓ㸪ࡇࢀࡽࡢ ゎᯒࡣ␗࡞ࡿ୰㟁Ꮚ᮲௳ࡘ࠸࡚⾜ࢃࢀ㸪୰㟁Ꮚ᮲௳ࡢタᐃࡢᙳ㡪ࡘ࠸࡚ࡶㄪࡽࢀࡓ㸬ࢢࣜࢵࢻ㠃⾪✺
㸰ḟඖศᕸࢆᤊ࠼ࡿࡓࡵࡣ㸱ḟඖࢥ࣮ࢻࡀྍḞ࡛࠶ࡿࡀ㸪ᮏゎᯒࡢᵝ
Full-PICࢥ࣮ࢻࢆ⏝࠸࡚⾜ࡗࡓ
ࡣࢇሗ࿌ࡉࢀ࡚࠾ࡽࡎ㸪ᚋ㏙ࡍࡿࡼ࠺ᐇ㦂ྠᵝ࡞ศᕸࡀᚓࡽࢀࡓࡇࡣ㸪ᖺᗘࡢព⩏ࡢ࠶ࡿᡂᯝ
ࡋ࡚ᣲࡆࡽࢀࡿ㸬
᭱ᚋᮏሗ࿌ࡢᴫせࢆグࡍ㸬ᮏሗ࿌࡛ࡣ㸪㸱ḟඖ
Full-PICࢥ࣮ࢻࢆసᡂࡋࡲࡎࡑࡢጇᙜᛶホ౯ࡢࡓࡵ⾜ࡗ ࡓᶆ‽ၥ㢟ゎᯒ㸧ࡢ⤖ᯝࡘ࠸࡚ሗ࿌ࡍࡿ㸬ᮏゎᯒ࡛⏝࠸ࡓᶆ‽ၥ㢟ࡣ㸪᪩ᕝࡢᐇ㦂⤖ᯝ
[10]ࢆᇶタᐃࡉࢀࡓࡶࡢ࡛࠶ࡿ㸬ᮏࢥ࣮ࢻ࡛ࡣ㸪ࡲࡎ
DSMC(Direct Simulation Monte Carlo)ἲࡼࡗ࡚୰ᛶ⢏Ꮚศᕸࢆồࡵ㸪ᚓࡽࢀࡓ୰ᛶ⢏Ꮚศᕸᑐࡋ࡚
Full-PICἲࡼࡿ࣭࢜ࣥ㟁Ꮚ㐠ື࠾ࡼࡧ୰ᛶ⢏Ꮚ㸫࢜ࣥ㛫ࡢ㟁Ⲵ࣭ᙎᛶ⾪
✺ゎᯒࢆ⾜࠺ࡇ࡛ࢡࢭࣝࢢࣜࢵࢻ⾪✺ࡍࡿ࣭࢜ࣥ୰ᛶ⢏Ꮚࢆホ౯ࡋ࡚࠸ࡿ㸬
2. ᩘ್ゎᯒἲ
ᮏゎᯒࢥ࣮ࢻࡣ㸪୰ᛶ⢏Ꮚ㸪࢜ࣥ࠾ࡼࡧ㟁Ꮚࢆࡍ࡚⢏Ꮚࡋ࡚ᢅࡗ࡚࠸ࡿ㸬ࡋࡋ㸪ᮏゎᯒ᮲௳࡛࠶ࡿᶆ
‽ၥ㢟࡛ࡣ᥎㐍⏝ຠ⋡ࡀప࠸ࡇࡽ[10]㸪୰ᛶ⢏Ꮚᐦᗘࡀ࣭࢜ࣥ㟁Ꮚࡢᐦᗘẚ㸱᱆⛬ᗘ㧗ࡃ࡞ࡗ࡚
࠸ࡿ㸬ࡋࡓࡀࡗ࡚㸪࢜ࣥࣅ࣮࣒ゎᯒྠ୰ᛶ⢏Ꮚ㐠ືࢆᢅ࠺ࡣ㠀ᖖከࡃࡢࢸࢫࢺ⢏Ꮚࡀᚲせ࡛ィ⟬
㛫ࡀ⭾࡞ࡗ࡚⌧ᐇⓗ࡛࡞࠸㸬ࡑࡇ࡛㸪ᮏゎᯒ࡛ࡣࡲࡎ୰ᛶ⢏Ꮚ㐠ືࡢࡳࢆゎᯒࡋ㸪ࡑࡢ⤖ᯝࡽᚓࡽࢀࡓ୰
ᛶ⢏Ꮚᐦᗘศᕸࢆ⏝࠸࡚࢜ࣥࣅ࣮࣒ゎᯒࢆ⾜ࡗ࡚࠸ࡿ㸬ࡇࢀࡽࡢィ⟬ࡘ࠸࡚᮰ゎࢆồࡵࡿࡲ࡛ࡢὶࢀࢆᅗ 㸯ࡢࣇ࣮ࣟࢳ࣮ࣕࢺࡲࡵ࡚࠸ࡿ㸬᮰ゎࡀồࡵࡽࢀࡓᚋ㸪ᘬࡁ⥆ࡁࢢࣜࢵࢻ⾪✺⢏Ꮚࡢࢧࣥࣉࣝ㞟ࡢࡓࡵ
ࡢゎᯒࡀ⾜ࢃࢀࡿ㸬௨ୗᮏゎᯒἲࡢヲ⣽ࢆ㏙ࡿ㸬
ᅗ㸯 ᮏゎᯒࡢᐃᖖゎྲྀᚓࡲ࡛ࡢࣇ࣮ࣟࢳ࣮ࣕࢺ
2.1. ィ⟬㡿ᇦ
ᮏゎᯒ࡛⏝࠸ࡓ
3ḟඖィ⟬㡿ᇦཬࡧゎᯒ᮲௳ࡢᴫ␎ࢆᅗ㸰♧ࡍ㸬ᮏゎᯒ࡛ᢅ࠺ᶆ‽ၥ㢟ࡣ㸪࢟ࢭࣀࣥࢆ᥎㐍
ࡍࡿ
2ᯛࢢࣜࢵࢻࡢ࢚࢜ࣥࣥࢪࣥࢆᐃࡋ࡚࠸ࡿ[10, 11]㸬ᮏゎᯒ࡛ࡣࡍ࡚ࡢィ⟬ࢆ㏻ࡌࢢࣜࢵࢻᙧ≧ࡣ
ึᮇࡢࡲࡲᅛᐃࡉࢀ࡚࠸ࡿࡀ㸪ᚋࡢᦆ⪖㐍⾜ࢆ⪃៖ࡋࡓゎᯒࡢ」㞧࡞ࢢࣜࢵࢻᙧ≧ᑐᛂࡍࡿ┠ⓗ࡛㸪┤
᱁Ꮚࢆ᥇⏝ࡋ࡚࠸ࡿ㸬ࡑࡇ࡛㸪㛗᪉㡿ᇦ࡛ᑐ⛠ቃ⏺᮲௳ࡀ࠼ࡽࢀࡿ᭱ࡶᑠࡉ࡞
x-y㠃ࡢィ⟬㡿ᇦࡋ࡚ᅗ㸰(a)
♧ࡍᐇ⥺ࡢ㡿ᇦࢆ⏝࠸࡚࠸ࡿ㸬ࡓࡔࡋ㸪㟁ゎᯒࡘ࠸࡚ࡣ
FEMἲࡼࡿゎᯒࡢࡋ᫆ࡉࢆඃඛࡋ࡚◚⥺࡛ᅖ
ࡲࢀࡓ㸰ಸࡢࡁࡉࡢ㡿ᇦ࡛⾜ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪ୖὶቃ⏺⨨㸪ୗὶቃ⏺⨨ࡢᙳ㡪ࢆῶࡽࡍࡓࡵ㸪ࡁ࡞㡿ᇦ
ࢆタᐃࡋ࡚࠸ࡿ㸬ࡲࡓ㸪Ἴ⥺ࡢ㡿ᇦࡢィ⟬᱁Ꮚࡣ㸪 x × y × z =
2239160ࡋ࡚࠸ࡿ㸬
x-y㠃ࡢ᱁Ꮚࡣ➼㛫㝸
㓄⨨ࡉࢀ࡚࠸ࡿࡀ㸪z ᪉ྥࡣᨺ㟁ᐊ࠾ࡼࡧ୰㡿ᇦ࠾ࡅࡿࢹࣂ㛗ࢆᇶ‽➼㛫㝸タᐃࡉࢀ࡚࠸ࡿ㸬
ୖὶ㒊ࡢ᱁Ꮚ㛫㝸Ǽz=0.13 mm ࡣᮏゎᯒ᮲௳୰ࡢ᭱ᑠࡢࢹࣂ㛗(Ȝ
D, p),min㸦= 0.10mm㸧⛬ᗘ࡛࠶ࡾ㸪ୗὶ㒊ࡣǼ
z = 0.40 mm(Ȝ
D,exit)min㸦㸻0.75 mm㸧ࡼࡾࡶ▷ࡃタᐃࡉࢀ࡚࠸ࡿ㸦ᅗ㸱ཧ↷㸧 㸬
2.2. ୰ᛶ⢏Ꮚゎᯒ
୰ᛶ⢏Ꮚ㐠ືゎᯒࡣ
DSMCἲࢆ⏝࠸࡚⾜ࢃࢀࡓ㸬ᮏゎᯒ࡛ࡢィ⟬᮲௳ୗ࡛ࡣࢡࢾ࣮ࢭࣥᩘࡀࡍ࡚ࡢ㡿ᇦ࡛
༑ศࡁ࠸ࡇࡽ⾪✺ࡣ⪃៖ࡋ࡚࠸࡞࠸㸬୰ᛶ⢏Ꮚᐦᗘࡣ㸪௨ୗࡢ㸱ࡘࡢゎᯒࡽᚓࡽࢀࡓᐦᗘࢆ㊊ࡋྜࢃ
ࡏࡿࡇࡼࡾồࡵࡽࢀ࡚࠸ࡿ㸸
(1)
ᨺ㟁ᐊࡽࡢ୰ᛶ⢏Ꮚὶධ㸸ᨺ㟁ᐊࡽィ⟬㡿ᇦὶධࡍࡿ୰ᛶ⢏Ꮚ㛵ࡍࡿゎᯒ㸬ᮏゎᯒ࡛ࡣ㸪ୖὶ㡿ᇦ
ᩘᐦᗘ
1.61019ࡢ
Maxwellศᕸࢆタᐃࡋゎᯒࢆ⾜ࡗࡓ㸬
(2)
ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻࡽࡢ୰ᛶ⢏Ꮚᨺฟ㸸ࢫࢡ࣮ࣜࣥࢢࣜࢵࢻୖὶ㠃ࡢ⾪✺࢜ࣥὶ᮰┦ᙜࡍࡿ୰ᛶ⢏
Ꮚὶ᮰ࢆࢢࣜࢵࢻ⾲㠃ࡽᨺฟࡉࡏゎᯒࢆ⾜ࡗࡓ㸬
(3)
ṧ␃୰ᛶ⢏Ꮚࡢὶධ㸸ୗὶ㠃ࡽὶධࡍࡿࢳࣕࣥࣂ࣮ෆṧ␃୰ᛶ⢏Ꮚ㛵ࡍࡿゎᯒ㸬ᐇ㦂[10]ࡢ┿✵ᵴෆᅽຊ
┦ᙜࡍࡿ୰ᛶ⢏Ꮚᐦᗘࡢ
Maxwellศᕸࢆୗὶ㡿ᇦタᐃࡋゎᯒࢆ⾜ࡗࡓ㸬
ࡑࡢࡢቃ⏺᮲௳ࡋ࡚ࡣ㸪y ࡢୖ᪉ቃ⏺ࢆ㝖ࡃᑐ⛠㠃࡛ࡣ㙾㠃ᑕ᮲௳ࢆ࠼㸪ࢢࣜࢵࢻ㠃ࡣࢢࣜࢵࢻ ᗘᑐᛂࡋࡓᣑᩓᑕ᮲௳ࢆ࠼࡚࠸ࡿ㸬
yࡢୖ᪉ቃ⏺㠃࡛ࡣ㸪ᑐ⛠⥺
Cᑐࡍࡿᑐ⛠᮲௳ࢆ㐺⏝ࡋ࡚࠸ࡿ㸬
60㼻 C
y
x
11 㟁ゎᯒ㡿ᇦ
⢏Ꮚゎᯒ 㡿ᇦ
(a)x-y
㠃
(b) z-x
㠃
ᅗ㸰 ィ⟬㡿ᇦゎᯒ᮲௳
ᅗ㸱 ィ⟬᱁Ꮚ㸦
z-x㠃㸧
2.3.
࢜ࣥࣅ࣮࣒ゎᯒ
2.3.1. PIC
ἲࡼࡿゎᯒ
㟁Ꮚཬࡧ࢜ࣥࡢ㐠ືࡣ
PICἲࢆ⏝࠸࡚ゎᯒࡉࢀ࡚࠸ࡿ
[12]㸬㟁Ꮚཬࡧ࢜ࣥࡢࢸࢫࢺ⢏Ꮚࡣࡑࢀࡒࢀ㐠ື᪉⛬ᘧᚑࡗ࡚㐠ືࡉࡏ࡚࠸ࡿ㸬ᮏゎᯒࡣ㸱ḟඖゎᯒࡢࡓࡵィ⟬㛫ࡀ⭾࡞ࡿࡇࡽ㸪ୖ㏙ࡋࡓࡼ࠺ࢹࣂ
㛗ࢆᇶ‽ྍ⬟࡞㝈ࡾᗈ࠸᱁Ꮚ㛫㝸ࢆタᐃࡋ㸪㛫㛫㝸ࡶࡑࡢ᱁Ꮚ㛫㝸ࢆᇶỴᐃࡋ࡚࠸ࡿ㸬ࡑࡢࡓࡵィ⟬
㛫ᙉ࠸㈇Ⲵࢆࡅ࡞࠸⛬ᗘ㛫⢭ᗘࢆ㧗ࡵࡿ┠ⓗ࡛㛫✚ศࡣ㸪㏻ᖖ
PICἲ⏝࠸ࡽࢀࡿ
leap-flogἲ࡛ࡣ࡞
ࡃ㸲ḟ⢭ᗘ࡛࠶ࡿ
Runge-Kutta-Gillἲࢆ⏝࠸࡚⾜ࡗ࡚࠸ࡿ㸬ࡇࡇ࡛㸪ィ⟬㛫▷⦰ࡢࡓࡵ㟁Ꮚ㉁㔞ࡣ࢜ࣥ㉁
㔞➼ࡋ࠸ࡋࡓ㸬ᮏࢥ࣮ࢻࡣᅛᐃࡉࢀࡓࢢࣜࢵࢻᙧ≧ᑐࡋ࡚ᐃᖖሙࢆồࡵࡿࡶࡢ࡛࠶ࡿࡇࡽ㉁㔞ẚࢆ
1ࡋ࡚࠸ࡿࡀ[3]㸪ᚋ㉁㔞ẚࢆኚ࠼ࡓሙྜࡢ᳨ウࡀᚲせ࡛࠶ࡿ⪃࠼࡚࠸ࡿ㸬
ୖὶ㡿ᇦ࠾࠸࡚㟁Ꮚཬࡧ࢜ࣥࢆ୍ᵝ
Maxwellศᕸ࡛࠼࡚࠸ࡿ㸬ࡇࡇ࡛㸪㟁Ꮚ࢜ࣥࡢᩘᐦᗘࡣ➼ࡋ ࡃ㸪タᐃࡋࡓ࢜ࣥࣅ࣮࣒㟁ὶࡀᚓࡽࢀࡿࡼ࠺Ỵᐃࡋ࡚࠸ࡿ㸬ୗὶ㡿ᇦ࡛ࡢ୰㟁Ꮚᐦᗘࡶୖὶ㡿ᇦྠᵝ
୍ᵝ
Maxwellศᕸ࡛࠼࡚࠸ࡿ㸬 ᚋ㏙ࡍࡿࡼ࠺ᮏゎᯒ࡛ࡣࡇࡢ୰㟁Ꮚᐦᗘࢆ㸱ࡘࡢ␗࡞ࡿホ౯ἲࡽタᐃ
ࡋ㸪ࡑࡢᙳ㡪ࢆホ౯ࡋ࡚࠸ࡿ㸬
ྛ᱁ᏊⅬ࠾ࡅࡿ㟁 I ࡣḟࡢ
Poissonᘧࢆ
FEMἲࡼࡗ࡚ゎࡃࡇࡼࡾồࡵ࡚࠸ࡿ㸸
i e. (1)0
2 e n n ࠉࠉࠉࠉ
I H
ࡇࡇ࡛㸪n
ineࡣࡑࢀࡒࢀྛ᱁ᏊⅬ࠾ࡅࡿ࢜ࣥ㸪㟁Ꮚࡢᩘᐦᗘࢆ⾲ࡋ࡚࠸ࡿ㸬せ⣲ࡣ㸯ḟᅄ㠃యせ⣲ࢆ᥇⏝
ࡋ࡚࠾ࡾ㸪㸰ḟ⢭ᗘ┦ᙜ௨ୖࡢ✵㛫⢭ᗘࡀᚓࡽࢀ࡚࠸ࡿࡀ㸪ᚋࡣࡼࡾᐃ㔞ⓗ࡞ホ౯ࢆ⾜࠺ࡓࡵィ⟬㛫ࢆ⪃
៖ࡋ࡞ࡀࡽ᭦࡞ࡿ㧗ḟせ⣲ࡢᑟධࡢ᳨ウࢆ⾜࠺ᚲせࡀ࠶ࡿࡶࡢ⪃࠼࡚࠸ࡿ㸬ྛࢢࣜࢵࢻୖ࠾ࡼࡧὶධ㠃࡛ࡣᅗ 㸰࠼ࡿᵝ㟁ࢆᅛᐃࡋ࡚࠼࡚࠸ࡿ㸬ୗὶቃ⏺࡛ࡣ㸪୰㟁Ꮚࢆ୍ᵝ࠼ࡿࡓࡵ㟁ࢆ タᐃࡋ࡚
࠸ࡿ㸬
ࡲࡓ㸪㛫㛫㝸Ǽ
tࡣ࢜ࣥ㏿ᗘ᱁Ꮚ㛫㝸ࡽỴᐃࡋ࡚࠸ࡿࡀ㸪ᮏゎᯒ࡛⏝࠸ࡽࢀࡓǼ
t =1.3×10-8 sࡣᮏゎᯒ ᮲௳࠾ࡅࡿࣉࣛࢬ࣐࿘Ἴᩘ㛵ࡍࡿไ㝈᮲௳
'tZp,max 0.221ࢆ‶ࡓࡍࡇࡀ☜ࡵࡽࢀ࡚࠸ࡿ㸬
2.3.2.
࢜ࣥ㸫୰ᛶ⢏Ꮚ⾪✺
୰ᛶ⢏Ꮚ࢜ࣥࡢ㟁Ⲵࡼࡿ㟁Ⲵィ⟬ࡣ
PICἲ࡛ィ⟬ࡉࢀࡿࢸࢫࢺ࢜ࣥ⢏Ꮚᑐࡋ࡚⾜ࢃࢀ
ࡿ㸬ඛ㏙ࡓࡼ࠺㸪ᮏゎᯒ࡛ࡣ୰ᛶ⢏Ꮚࡣྛࢭࣝୖ࡛ࡢᐦᗘࡢᙧ࡛࠼ࡽࢀ࡚࠸ࡿࡢ࡛㸪࡞⢏Ꮚ⾪✺ࣔ
ࢹ࡛ࣝࡣ࡞࠸ࡀ㸪 ௨ୗ♧ࡍࡼ࠺࡞ࣔࣥࢸ࢝ࣝࣟⓗྛ࢜ࣥ⢏Ꮚᑐࡍࡿ⾪✺ุᐃࢆᩘࢆ⏝࠸࡚⾜ࡗ࡚࠸ࡿ㸸
P
CEXn
nv V
CEX' t 㸪
P
ELSn
nv V
ELS' t
. (2)ࡇࡇ࡛㸪Ȫ
CEX㸪Ȫ
ELSࡣࡑࢀࡒࢀ㟁Ⲵ⾪✺᩿㠃✚㸪ᙎᛶ⾪✺᩿㠃✚ࢆ㸪
vࡣ┦ᑐ㏿ᗘࢆ⾲ࡍ㸬ࡇࢀࡽࡢᘧ࠾
࠸࡚㸪⡆༢ࡢࡓࡵ୰ᛶ⢏Ꮚ㏿ᗘࡣ
0࠾࠸࡚࠸ࡿ㸬
ࢭࣝෆࡢྛ࢜ࣥ⢏Ꮚ㛵ࡍࡿᩘ R ᑐࡋ࡚㸪⾪✺ࡣୗグࡢࡼ࠺ุ᩿ࡉࢀࡿ㸸
0 ӊ R ӊ P
CEXࡢሙྜ 㸸㟁Ⲵ⾪✺
ELS CEX
CEX
R P P
P ӊ ࡢሙྜ 㸸ᙎᛶ⾪✺
ELS
1
CEX
P R ӊ
P ࡢሙྜ
㸸⾪✺↓ࡋ
ࡇࡇ࡛㸪⾪✺ࡼࡾ⏕ᡂࡉࢀࡓ㟁Ⲵ࢜ࣥࡢึ㏿ࡣ
0ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪㟁Ⲵ㸪ᙎᛶ⾪✺ࡀ⾜ࢃࢀࡓሙ
ྜࡣ㸪⾪✺࢜ࣥ⨨ࢸࢫࢺ୰ᛶ⢏Ꮚࢆຍ࠼࡚࠸ࡿ㸬ࡇࢀࡽࡢࢸࢫࢺ୰ᛶ⢏Ꮚࡣ㸪⫼ᬒࡢ୰ᛶ⢏Ꮚ␗࡞ࡾ㸪
࣭࢜ࣥ㟁Ꮚࡢሙྜྠᵝ⢏Ꮚⓗ㐠ືࡀ㏣㊧ࡉࢀ࡚࠸ࡿ㸬ᅗ㸯ࡢࣇ࣮ࣟࢳ࣮ࣕࢺ࡛⢏Ꮚ㐠ື࢜ࣥ㸪㟁Ꮚ
ຍ࠼࡚♧ࡉࢀ࡚࠸ࡿࠕ୰ᛶ⢏Ꮚࠖࡣࡇࡢ⢏Ꮚࡢࡇࢆᣦࡋ࡚࠸ࡿ㸬ࡇࡢ⢏Ꮚࡢึ㏿ࡣ⾪✺๓ࡢ࢜ࣥ㏿ᗘ
ྠࡌ࠼ࡽࢀ࡚࠸ࡿ㸬
3.
ゎᯒ⤖ᯝ
3.1୰ᛶ⢏Ꮚゎᯒ⤖ᯝ
ࡲࡎ㸪୰ᛶ⢏Ꮚゎᯒࡢ⤖ᯝᚓࡽࢀࡓ
y 0㠃࡛ࡢ୰ᛶ⢏Ꮚᐦᗘศᕸࢆᅗ㸲♧ࡍ㸬ᮏゎᯒ࡛ࡣᙜึ㸪ࢳࣕࣥࣂ
࣮ෆṧ␃୰ᛶ⢏Ꮚࡘ࠸࡚㸪
(i)ṧ␃୰ᛶ⢏Ꮚᐦᗘࢆィ⟬㡿ᇦ୍ᚊຍ࠼ࡓሙྜ㸪(ii)ᮏゎᯒࡢᵝୗὶ㡿ᇦࡢᐦᗘࡋ࡚࠼ࡓሙྜ㸪(iii)⪃៖ࡋ࡞࠸ሙྜ㸪ࡢ㸱ࢣ࣮ࢫࡢᐦᗘศᕸࡢ㐪࠸ࡀࢢࣜࢵࢻ⾪✺࢜ࣥศᕸ࠼ࡿᙳ 㡪ࢆホ౯ࡍࡿࡇࢆᛕ㢌࠾࠸࡚㸪๓❶࡛㏙ࡓࡼ࠺࡞(1)ࡽ(3)ࡽᚓࡽࢀࡿ㸱ࡘࡢゎᯒ⤖ᯝࢆ㊊ࡋྜࢃࡏࡿ᪉ ἲࢆ᥇⏝ࡋࡓ㸬ࡋࡋ㸪ᮏゎᯒ࡛⏝࠸ࡓࢢࣜࢵࢻᙧ≧ࡣ㸪࠼ࡤᖺᗘࡢሗ࿌
[14]࡛ᢅࡗࡓMuses-Cࢱࣉẚ
࡚ࡑࡢ㛤ཱྀẚࡀࡁ࠸ࡇࡽ୰ᛶ⢏Ꮚᐦᗘศᕸཬࡰࡍᙳ㡪ࡀᑠࡉࡃୗὶ㡿ᇦࡢᐦᗘࡣୖὶ㡿ᇦࡢ1 ᱆⛬ᗘ ࡋపୗࡋ࡚࠸࡞࠸ࡇຍ࠼㸪ୖὶ㡿ᇦࡢ୰ᛶᐦᗘ᮲௳⮬యࡀࡁࡃ㸪ୗὶቃ⏺࠾ࡅࡿṧ␃୰ᛶ⢏Ꮚࡼࡿ
ᐦᗘቑຍࡣ
4㸣⛬ᗘ␃ࡲࡗࡓ㸬ࡑࡇ࡛㸪ᮏሗ࿌ࡢ࢜ࣥࣅ࣮࣒ゎᯒࡣ(ii)ࡢ㸯ࢣ࣮ࢫࡢࡳࡘ࠸࡚⾜ࢃࢀࡓ㸬ࡓࡔࡋ㸪
(ii)ࡢࡼ࠺タᐃࡋࡓሙྜ㸪ṧ␃୰ᛶ⢏Ꮚࡢࡳࡼࡿศᕸࡣ㸪ᨺ㟁ᐊ୰ᛶ⢏Ꮚࡼࡿศᕸྠᵝࢢࣜࢵࢻᙧ≧ࡢᙳ㡪ࢆཷࡅ࡚࠸ࡿ⤖ᯝࡀᤊ࠼ࡽࢀ࡚࠾ࡾ㸪
Muses-Cࡢࡼ࠺࡞㛤ཱྀẚࡢࢢࣜࢵࢻࡢሙྜ࠾࠸࡚ࡣ㸪ࡼࡾᐃ 㔞ⓗ࡞ࢢࣜࢵࢻᦆ⪖ホ౯ࡢࡓࡵࡣ㸪ṧ␃୰ᛶ⢏Ꮚᐦᗘࢆ୍ᚊຍ࠼ࡿࡢ࡛ࡣ࡞ࡃ㸪
(ii)ࡢᵝ࡞ᢅ࠸ࢆࡍࡿࡇ࡛ࡼࡾᐇ㝿ⓗ࡞ศᕸࢆᚓࡿᚲせࡀ࠶ࡿ⪃࠼࡚࠸ࡿ㸬
ᅗ㸲 ୰ᛶ⢏Ꮚᩘᐦᗘศᕸ㸦J
b=100ȝAゎᯒ⏝㸧
3.2
࢜ࣥࣅ࣮࣒ゎᯒ⤖ᯝ
3.2.1 ୰㟁Ꮚ᮲௳౫Ꮡᛶ㹙J b=100ȣA㹛
ࡲࡎ㸪ୖグࡢ୰ᛶ⢏Ꮚᐦᗘศᕸࢆ⏝࠸࡚⾜ࢃࢀࡓ࢜ࣥࣅ࣮࣒㟁ὶ
J bࡀ
100ȣAࡢሙྜࡢࣅ࣮࣒ゎᯒ⤖ᯝࡘ
࠸᳨࡚ウࡍࡿ㸬ୗὶ㡿ᇦ࡛タᐃࡍࡿ୰㟁Ꮚᐦᗘࡣ㸪ὶฟ㠃࠾ࡅࡿ࢜ࣥᐦᗘศᕸࢆᖹᆒࡋ࡚ồࡵࡽࢀࡓ㸬ࡇ ࡢ࢜ࣥᐦᗘศᕸࡣὶฟ㠃୍࡛ᵝ࡛ࡣ࡞࠸ࡓࡵ㸪ࡢࡼ࠺ᖹᆒࢆホ౯ࡍࡿࡼࡗ࡚ᚓࡽࢀࡿ್ࡣ␗࡞ࡗ࡚ࡃ
ࡿ㸬ᮏゎᯒ࡛ࡣ㸪ࡇࡢ୰㟁Ꮚᐦᗘࡀ࠼ࡿᙳ㡪ࢆホ౯ࡍࡿࡓࡵ⾲㸯♧ࡍࡼ࠺࡞㸱ࡘࡢホ౯᪉ἲࢆ⏝࠸㸪ྛホ
౯ἲࡽᚓࡽࢀࡓ㸱ࡘࡢ␗࡞ࡿ㟁Ꮚᐦᗘࢆ⏝࠸࡚ゎᯒࢆ⾜ࡗࡓ㸬
⾲㸯 ୗὶ㡿ᇦ㟁Ꮚᩘᐦᗘ᮲௳㸦J b=100ȝA㸧
&DVH D E F
ᑟฟᣦ㔪 ୗὶ㠃࢜ࣥᐦᗘ್᭱
ࡢ್༙ࡲ࡛ࡢ㡿ᇦ࡛ᖹᆒ
ୗὶ㠃࢜ࣥᐦᗘ್᭱
ࡢ ್ࡲ࡛ࡢ㡿ᇦ࡛ᖹᆒ
ୗὶ㠃ࡍ࡚ࡢ㡿ᇦ
࡛ᖹᆒ
ὶฟ㡿ᇦ㟁Ꮚᐦᗘ P P P
࢜ࣥࣅ࣮࣒㟁ὶ್ࡼࡾィ⟬㛫ࡣ␗࡞ࡿࡀ㸪
J b=100 ǍAࡢሙྜࡣCPU Intel®Xenon®3.0GHz ࡛
23000 stepࡲ࡛ゎᯒࡋ⣙
53㛫ࢆせࡋࡓ㸬ࡇࡇ࡛㸪ᐃᖖゎࡀᚓࡽࢀࡿࡢࡣ
3000 step⛬ᗘ࡛࠶ࡿ㸬ṧࡾࡢ
stepࡣ㸪
ࢡࢭࣝࢢࣜࢵࢻࡢࢸࢫࢺ⢏Ꮚࡢ⾪✺ࢧࣥࣉࣝ㞟⏝࠸ࡽࢀࡓࡶࡢ࡛࠶ࡿ㸬
ࡲࡎ㸪
Case (a)ࡢሙྜࡢゎᯒ⤖ᯝࢆᅗ㸳ࡽᅗ㸵♧ࡍ㸬ᅗ㸲ࡣy = 0ࡢ㠃ୖࡢ㟁ࡢ
z-x㠃ศᕸࢆ㸪ᅗ㸳㸪
ᅗ㸴ࡣࡑࢀࡒࢀ࢜ࣥ࠾ࡼࡧ㟁Ꮚศᕸࢆ♧ࡍ㸬ᅗ㸲࠾࠸࡚ࢡࢭࣝࢢࣜࢵࢻୗὶ㡿ᇦ࡛㟁ࡢ㧗࠸ࡇࢁࡀ
☜ㄆ࡛ࡁࡿ㸬ᅗ㸳ࡽࡣ㸪㯮࡛⾲ࡉࢀࡿ࢜ࣥࣅ࣮࣒ࡀᮏ᮲௳ୗ࡛ࡣࢡࢭࣝࢢࣜࢵࢻ┤᥋⾪✺ࡋ࡚࠸࡞࠸ᵝ Ꮚࡀ☜ㄆ࡛ࡁࡿ㸬ࡲࡓ㸪㟁Ⲵ࢜ࣥࡣࢫࢡ࣮ࣜࣥࢢࣜࢵࢻୗὶ௨㝆ࡢ㡿ᇦ࡛Ꮡᅾࡋ࡚࠸ࡿࡢᑐࡋ㸪ᙎ ᛶ⾪✺ࡋࡓ࢜ࣥࡣୖὶ㡿ᇦ࠾࠸࡚ࡶከࡃ⌧ࢀ࡚࠸ࡿ㸬ᅗ㸴ࡢ㟁Ꮚศᕸᅗࡽ㸪࢜ࣥࣅ࣮࣒ᨺฟ㠃ࡀࢫࢡࣜ
࣮ࣥࢢࣜࢵࢻ㏆ഐᏑᅾࡋ࡚࠸ࡿᵝᏊࡀ᫂☜☜ㄆ࡛ࡁࡿ㸬ࡲࡓ㸪୰㟁Ꮚࡣ㟁ศᕸᛂࡌ࡚ศᕸࡋ࡚࠸ࡿᵝ Ꮚࡀᤊ࠼ࡽࢀ࡚࠸ࡿ㸬ࡇࢀࡽࡢ⤖ᯝࡣ㸪ୖ࣭ୗὶ㡿ᇦ࡛
Maxwellศᕸࢆ௬ᐃࡍࡿ
Hybridࢥ࣮ࢻ࠾࠸࡚㸪㟁Ꮚ
ࢆ
Boltzmannศᕸ࡛࠼࡚࠸ࡿࡇࡢጇᙜᛶࢆ♧ࡋ࡚࠸ࡿ㸬
ᅗ㸳 㟁ศᕸ㸦Jb=100ȝA
, Case (a)
㸧ᅗ㸴 ࢜ࣥศᕸ㸦Jb=100ȝA
, Case (a)
㸧ᅗ㸵 㟁Ꮚศᕸ㸦Jb=100ȝA
, Case (a)
㸧ḟ㸪ࢡࢭࣝࢢࣜࢵࢻ⾪✺ࡍࡿ࢜ࣥὶ᮰࠼ࡿୗὶ୰㟁Ꮚᐦᗘࡢᙳ㡪ࡘ࠸࡚ホ౯ࢆ⾜ࡗࡓ㸬ᅗ㸶
ࡽᅗ㸯㸮ࡣ㸪సᡂࡋࡓᮏゎᯒࢥ࣮ࢻࡢ㸱ḟඖᛶࡘ࠸࡚ࡢጇᙜᛶࡢ☜ㄆࢆ┠ⓗࡋ࡚㸪㸰ᯛࢢࣜࢵࢻࡢሙ
ྜ᭱ࡶ㸱ḟඖᛶࡀᙉࡃ⾲ࢀࡿࢢࣜࢵࢻୗὶ㠃ࡢ࢜ࣥὶ᮰ศᕸࢆ♧ࡋࡓ㸬ࡇࡢᅗࡣ୰㟁Ꮚ᮲௳ࡋ࡚
Case (a)Case (c)ࡢ㸰ࡘࢆ⏝࠸ࡓሙྜࡢ⤖ᯝࡀ♧ࡉࢀ࡚࠸ࡿ㸬ࡇࢀࡽ㸰ࡘࡢࢣ࣮ࢫ࡛࣮࢝ࣛࣂ࣮ࡣඹ㏻ࡢࡶࡢ
ࡀ⏝࠸ࡽࢀ࡚࠸ࡿ㸬Case (a)ࡢሙྜࡣ㸪సືᚋࡢࢢࣜࢵࢻ㠃ほᐹࡉࢀࡿ
Pits&Groovesࡢᦆ⪖ࣃࢱ࣮ࣥఝ ࡓศᕸࡀほᐹ࡛ࡁࡓ㸬ࡋࡋ
,୰㟁Ꮚᐦᗘࡢప࠸Case (c)ࡢሙྜࡣ⦆ࡸ࡞ศᕸࡢࡳࡀ☜ㄆ࡛ࡁࡓ㸬ḟࢢࣜࢵࢻୗὶ㠃ࡢᦆ⪖ࡘ࠸࡚ᐃᛶⓗ࡞ホ౯ࢆ⾜ࡗࡓ㸬ᦆ⪖ࡢᐃ㔞ホ౯ࡣࢫࣃࢵࢱࣜࣥࢢ⋡㸪╔⋡➼ࡀᚲせ࡛
࠶ࡿࡀ㸪ࡇࢀࡽࡢヲ⣽࡞ホ౯ᘧࡘ࠸࡚ࡣⓒṊࡽࡢ◊✲
[13]ࡀ⌧ᅾ㐍⾜୰࡛࠶ࡿ㸬ࡲࡓ㸪ᅗ㸷♧ࡍୗὶ㠃ࡢ⾪✺࢜ࣥ⢏Ꮚࡢ࢚ࢿࣝࢠ࣮ศᕸ࡛ࡣࡢࢣ࣮ࢫ࠾࠸࡚ࡶ
130eV⛬ᗘ௨ୖࡢ⢏Ꮚࡀࢇ࡛࠶ࡿࡇࡽ㸪 ࢥ࣮ࢻࡢᇶᮏⓗ࡞ጇᙜᛶホ౯ࢆ┠ⓗࡋ࡚࠸ࡿᮏሗ࿌࡛ࡣ㸪ᦆ⪖⋡ࡀ࢚ࢿࣝࢠ࣮ὶ᮰ẚࡍࡿࡶࡢࡋ࡚࢚
&DVHD &DVHF
ᅗ㸶 ࢡࢭࣝࢢࣜࢵࢻୗὶ㠃⾪✺ࡍࡿ࢜ࣥࡢᩘὶ᮰ᐦᗘศᕸ㸦Jb=100ȝA㸧
ᅗ㸷 ࢡࢭࣝࢢࣜࢵࢻୗὶ㠃⾪✺ࡍࡿ⢏Ꮚࡢ࢚ࢿࣝࢠ࣮ศᕸ㸦Jb=100ȝA㸧
&&DVHD &DVHF
ᅗ㸯㸮 ࢡࢭࣝࢢࣜࢵࢻୗὶ㠃⾪✺ࡍࡿ࢜ࣥࡢ࢚ࢿࣝࢠ࣮ὶ᮰ᐦᗘศᕸ㸦Jb=100ȝA㸧
ࢿࣝࢠ࣮ὶ᮰⤖ᯝࡽᦆ⪖ࡘ࠸࡚ࡢ⡆᫆ⓗ࡞ホ౯ࢆ⾜ࡗࡓ㸬ᅗ㸷࠾࠸࡚㸪࢜ࣥ⢏Ꮚࡢ࢚ࢿࣝࢠ࣮ࡀࡍ࡚
ࡢࢣ࣮ࢫ࡛
200 eV㏆ഐ㞟୰ࡋ࡚࠸ࡿᵝᏊࡀㄆࡵࡽࢀࡿ㸬ࡲࡓ㸪୰㟁Ꮚᐦᗘࡀపࡃ࡞ࡿࡘࢀ࡚ࡑࡢࣆ࣮ࢡ ࡀ⦆ࡸ࡞ࡾ㸪ࡑࡢ್ࡶୖὶഃ⛣ືࡋ࡚࠸ࡿ㸬ࡇࡢ࢚ࢿࣝࢠ࣮㞟୰ࡢ⌮⏤ࡼࡾ㸪ᅗ㸯㸮ࡢ࢚ࢿࣝࢠ࣮ὶ᮰ ศᕸࡣ㸪ᅗ㸶♧ࡉࢀࡿᩘὶ᮰ࡢሙྜྠᵝ࡞ศᕸࢆ♧ࡋ࡚࠸ࡿࡀ㸪
Case (a)࠾࠸࡚ࡣᩘὶ᮰ศᕸࡼࡾࡶ”Pits”ࡢ㒊ศࡀࡼࡾ᫂☜⌧ࢀ࡚࠸ࡿ㸬ᅗ㸯㸯ࡣࢡࢭࣝࢢࣜࢵࢻෆቨ㟁ὶཬࡧୗὶ㠃㟁ὶࡢࣅ࣮࣒㟁ὶẚࢆ㉳ᅉู
♧ࡋࡓ㸬ෆቨ㟁ὶẚࡣ㸪ᐇ㦂್
[10]ࡰྠᵝ࡞್ࢆ♧ࡋ㸪ୗὶ㠃㟁ὶẚࡣഹప࠸್࡞ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪ෆቨ㸪ୗὶ㠃ࡶ
Totalࡢ㟁ὶẚࡢࢇࡀ㟁Ⲵ࢜ࣥࡼࡿࡶࡢ࡛࠶ࡾ୰㟁Ꮚᐦᗘࡶ㧗ࡃ࡞ࡗ
࡚࠸ࡿࡀ㸪ୗὶ㡿ᇦࡢᙳ㡪ࢆཷࡅࡸࡍ࠸ୗὶ㠃㟁ὶẚ࠾࠸࡚ࡑࡢഴྥࡣᙉࡃ⌧ࢀ࡚࠸ࡿ㸬ࡲࡓ㸪࢜ࣥࣅ࣮࣒
㡿ᇦࢆᇶࡋ࡚୰㟁Ꮚ᮲௳ࢆồࡵࡓ
Case (a)Case (b)ࡢ㛫࡛ࡣ࠶ࡲࡾ㐪࠸ࡀぢࡽࢀ࡞࠸ࡀ㸪ὶฟ㠃య࡛ᖹᆒࢆࡗࡓ
Case (c)ࡣࡁࡃ␗࡞ࡗ࡚࠸ࡿ㸬ᮏゎᯒ࡛ࡣ࢜ࣥࣅ࣮࣒ࡀὶฟ㠃యࡲ࡛ᣑࡀࡾࡁࡗ࡚࠸࡞࠸㡿ᇦࢆᢅࡗ࡚࠸ࡿࡓࡵ㸪ὶฟ㠃ࡢ୰㟁Ꮚศᕸࡣ࢜ࣥࣅ࣮࣒㡿ᇦ࡛࠶ࡿ࢜ࣥࡢ㧗ᐦᗘ㡿ᇦࢆᇶ‽ࡍࡿ᪉ࡀጇ ᙜ࡛࠶ࡿ⪃࠼ࡽࢀࡿࡇࡸ㸪
Case(a)Case(b)ࡢ㛫ࡢ㐪࠸ࡀഹ࡛࠶ࡿࡇࡽḟ⠇࡛ࡣCase (a)ࡢሙྜࡘ࠸࡚ホ౯ࢆ㐍ࡵ࡚࠸ࡿ㸬ࡓࡔࡋ㸪ࡇࡢ୰㟁Ꮚศᕸ᮲௳ࡣ㸪ᮏゎᯒࡽࡶ᫂ࡽ࡞ࡼ࠺࢜ࣥࡢࢢࣜࢵࢻ⾪✺
㐣⛬࠼ࡿᙳ㡪ࡀࡁ࠸ࡓࡵ㸪ୗὶ㠃࡛㟁ࢆ୍ᐃ㸦= 0V㸧࡛࠼ࡿࡇࡢጇᙜᛶࡶྵࡵᚋࡢ᳨ウࡀᚲせ࡛
࠶ࡿ⪃࠼࡚࠸ࡿ㸬
ᅗ㸯㸯 ࢡࢭࣝࢢࣜࢵࢻෆቨ㟁ὶ࠾ࡼࡧୗὶ㠃㟁ὶࡢࣅ࣮࣒㟁ὶẚࡢὶฟ㡿ᇦ㟁Ꮚᐦᗘ౫Ꮡᛶ㸦Jb=100ȝA㸧
3.2.2 ࢡࢭࣝࢢࣜࢵࢻ⾪✺࠾ࡅࡿࣅ࣮࣒㟁ὶ౫Ꮡᛶ
᭱ᚋ㸪୰㟁Ꮚ᮲௳ࢆ
Case (a)࡛࠼ࡓሙྜࡢࢡࢭࣝࢢࣜࢵࢻ㟁ὶ㸫ࣅ࣮࣒㟁ὶẚࡘ࠸࡚ࣅ࣮࣒㟁ὶࢆኚࡉࡏࡓሙྜࡢ⤖ᯝࢆᅗ㸯㸰♧ࡋࡓ㸬ෆቨ㟁ὶẚ㸪ୗὶ㠃㟁ὶẚࡶ୰㟁ὶ㡿ᇦ㸦100㹼200ȣA㸧࡛ࡣ㸪
ᐇ㦂್
[10]ࡰྠᵝ࡞್ࢆ♧ࡋ࡚࠸ࡿ㸬ࡋࡋ㸪≉ෆቨ㟁ὶẚࡣ㸪ప㟁ὶ㸦50ȣA㸧࠾ࡼࡧ㧗㟁ὶ㸦197ȣA㹼㸧ᐇ㦂ぢࡽࢀࡿࡼ࠺࡞ᛴ⃭࡞ୖ᪼ࢆᤊ࠼ࡽࢀ࡞ࡗࡓ㸬ࡲࡓ㸪ୗὶ㟁ὶẚࡣࡑࡢ໙㓄ࡢ࣮ࣔࢻࡀ୰㟁ὶ ᇦ࡛㸰ࡘศࢀ࡚࠸ࡿࡀ㸪ࡑࡢ㐃⥆Ⅼࡣゎᯒ್ࡢ᪉ࡀࡼࡾ㧗㟁ὶഃ⨨ࡋ࡚࠸ࡿ㸬㉳ᅉู࡛ࡳࡿࡕࡽ
ࡢ㟁ὶࡶ㟁Ⲵ࢜ࣥࡼࡿࡶࡢࡀ࡛࠶ࡿࡀ㸪ୗὶ㠃㟁ὶ࠾࠸࡚ࡣᙎᛶ⾪✺࢜ࣥࡼࡿྜࡀࡍ࡚
2㸣௨ୗ࡛࠶ࡿࡢᑐࡋ࡚㸪ෆቨ㟁ὶ࡛ࡣ233ȣA
ࡢሙྜ
12㸣࡞ࡗ࡚࠾ࡾࡑࡢᐃ㔞ホ౯ࡣ↓ど࡛ࡁ࡞࠸㔞࡞ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪㧗㟁ὶࣅ࣮࣒㟁ὶࡢືࡀࡳࡽࢀࡓࡀ㸪ᚋࡢࢥ࣮ࢻࡢ㧗⢭ᗘ㐣⛬࠾࠸࡚ࡇࡢ
ືࡣࡑࡢᣦ㔪࡞ࡿࡶࡢ࡛࠶ࡿ⪃࠼࡚࠸ࡿ㸬
ࡲࡓ㸪ᅗ㸯㸰ࡣ୰ᛶ⢏Ꮚࡢ⾪✺ࢆホ౯ࡍࡿ┠ⓗ࡛ࡑࡢὶ᮰ࣅ࣮࣒࢜ࣥࡢὶ᮰ẚࡘ࠸࡚㟁ὶẚྠᵝ
♧ࡋ࡚࠸ࡿ㸬ࡇࡢ⤖ᯝࡽୗὶ㠃࡛ࡣ୰ᛶ⢏Ꮚࡢᙳ㡪ࡣṤ↓ど࡛ࡁࡿࡇࡀࢃࡿࡀ㸪ෆቨࡘ࠸࡚ࡣ࢜
ࣥࡢ⣙
40㸣௨ୖࡢὶ᮰ࡀᚓࡽࢀ࡚࠾ࡾᐃ㔞ホ౯࠾࠸࡚୰ᛶ⢏Ꮚ⾪✺ࡀ↓ど࡛ࡁ࡞࠸ࡇࢆ♧ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪ࡇࢀࡽࡢ⾪✺୰ᛶ⢏Ꮚࡢࢇࡣᙎᛶ⾪✺⢏Ꮚ࡛࠶ࡿ㸬
ࢡࢭࣝࢢࣜࢵࢻෆቨ㟁ὶẚ ࢡࢭࣝࢢࣜࢵࢻୗὶ㠃㟁ὶẚ ᅗ㸯㸰 ࢡࢭࣝࢢࣜࢵࢻෆቨ㟁ὶ࠾ࡼࡧୗὶ㠃㟁ὶࡢࣅ࣮࣒㟁ὶẚࡢࣅ࣮࣒㟁ὶ౫Ꮡᛶ㸦Case (a)㸧
4. ࡲࡵཬࡧᚋࡢィ⏬