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1

ȩǪ�

1. Ūʎ ..............................................................................................................2

1.1. ȱɂBɦǁ .................................................................................................... 2

1.2. ȱɂȩȧ ........................................................................................................ 2

1.3. ǏʎƴBǤƐ ................................................................................................ 3

2. FFAGm�f�z��BăȞ........................................................................4

2.1. Ų˓ǒBăȞ=��sz��Ɯø .............................................................. 4

2.2. ��sz��ƜøBÝ˨ ............................................................................. 7

2.3. ¿ȫŃŅƇBăȞ=m�f�z��Ɯø .................................................. 9

2.4. FFAG m�f�z�� ............................................................................... 11

2.5. Radial Sector Ĭ FFAGôʮĞBȵİéŢ ................................................ 13

3. ņ˦ɷɡ .....................................................................................................15

3.1. ôʮĞƹʅ .................................................................................................. 15

3.2. KURRI FFAG¨��g .............................................................................. 16

3.3. FFAG˘ȵȰ ............................................................................................... 18

3.4. adk^s� .............................................................................................. 19

3.5. ˧ĖǺôʮɃǼ........................................................................................... 20

3.6. ��¿ɡǠè�}s�BăȞ................................................................ 21

3.7. ��¿ɡǠè�}s�BɹÃ................................................................ 26

3.8. ȅŅɑ .......................................................................................................... 27

4. ��sz��u��BȅŅ .....................................................................29

4.1. ��sz��u��BȅŅăȞ ............................................................ 29

4.2. ��sz��u��BȅŅəǘ ............................................................ 32

4.3. F/Dǯ@RU��sz��u��BƨÃ ............................................. 36

5. ɤō ............................................................................................................41

5.1. ��sz��u��ȅŅ ....................................................................... 41

5.2. ��sz��u��Bķû=˗ɭćš ................................................ 41

5.3. Ý˨ɜ=��ƥĽ ................................................................................... 42

5.4. F/Dǯ@Ŏ0U��sz��u��Bķû ......................................... 43

5.5. Ý˨ɜBĠʺ .............................................................................................. 43

6. əʎ ............................................................................................................45

A ¶˄ ...........................................................................................................46

2

1. Ūʎ

1.1. ȱɂBɦǁ

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1.2. ȱɂȩȧ

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?U==N@˓ǒò$ʳøˁ@ÆS1�Ņ=?UB<��sz��u��

Côʮ¦N�Ņ@É5VU˪r�ɭćš �˫.#.�ņˑ@CȉVȵİBŵ˞O

3

˧ȵİˠĮ@")U˘ȵȰBȵǱˤĚBŵ˞<�r�ɭćšYńÛ@Ȇ50+

=C˖.'�ôʮ¦@��sz��u��$ķû0U�3B5M��Y

Úő.;ĈTè0K<Bˈ��sz��u��$��ƥĽBăġ=?U

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1.3. ǏʎƴBǤƐ

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ȧ@9�;ʩH5�Ɉ¬Ʌ<CŲ˓ǒBăȞO��sz��ƜøÝ˨@9�;

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�ƜøBÝ˨=��ƥĽBˉÈ@9�;BɤōYɰ �ɈÜɅ<CǏȱɂB

əʎYʩHU�

4

2. FFAGm�f�z��BăȞ

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8;��@a~�e�Y¢!;ôʮ0U==N@��@ɟƸĔB˓ǒòY

¢!;�U[8][9][10]�+BɅ<C�+VSBm�f�z��@")U��˓

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2.1. Ų˓ǒBăȞ=��sz��Ɯø

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¦ƀʞʵ=ĘF�

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5

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U�

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6

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!

" " y + K0

s( ) + k s( )[ ]y = 0 ƲŮ 2.28 ( 2.28 )

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* + ƲŮ 2.29 ( 2.29 )

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!

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oC�

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1

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9

!

cosµ = cosµ0"sinµ

0

2# s

1( )k s1( )ds1 ƲŮ 2.33 ( 2.33 )

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!

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!

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!

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!

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!

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2$ ƲŮ 2.39 ( 2.39 )

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UK<ĖĠYɛ)U�

� m�f�z��C�k^f�z��BR @ɉƿƇYȆ5.;?�5M�ʳ

10

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/¿ȫ@�UɏĿCôʮɃǼYʭʴ0Uū@�ŅBa~�e�Y¢!SVŃŅ

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� m�f�z��ƜøC¸ BR ?¿ȫ@9�;BƜøBƸȿŮ<ɳ-VU�

!

d

dt

"s

2Es

#$s

2

d %&( )dt

'

( )

*

+ , =

heV

2-sin& . sin&

s( ) ƲŮ 2.41 ( 2.41 )

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11

C3V4VĒǌ¿ȫ#SB1V��=��s=o�v��nÈƲYɳ0�++<�

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8'T<�UİĐ�Ů( 2.41 )C¸ BR @ɳ0+=$<%U�

!

Es

"#0

d2$

dt2

=heV

2%sin$ & sin$

s( ) ƲŮ 2.42 ( 2.42 )

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!

Es

2"#0

2

d$

dt

%

& '

(

) *

2

+heV

2+sin$ + $sin$

s( ) = C1 ƲŮ 2.43 ( 2.43 )

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(�0)2BʖȍBƜø=ɤ!U+=$<%U�

!

U(") = ±heV

2#sin" + "sin"

s( ) ƲŮ 2.44 ( 2.44 )

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�Ƹ�Ů( 2.42 )C˜ɜŴƜøƸȿŮ<�U$žŔˁž @ˉ.; sin�Yŗˇ

.ǇÀǪ˟BLY=U=�ǪBR ?žéƸȿŮ$żSVU�

!

" = "s+# ƲŮ 2.45 ( 2.45 )

!

d2"

dt2#heV$

0

2%cos&s

2'Es

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!

"s

=#0

2$%heV&cos'

s

2$Es

ƲŮ 2.47 ( 2.47 )

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ƀ=?UĒǌ¿ȫ�sBĖT@˓¦.;éŢ0U�+BɏĿB˓ĢY��u=�

�

2.4. FFAG m�f�z��

FFAG m�f�z��B”FFAG”=C�”Fixed Field Alternating Gradient”Bˡƴ

ŀYĈ85NB<�T�ȵİ$ƿˈȧ@�Ņ<�#9Ų˓ǒB˓ǒɑȡ�U+

=YƋė0U[12][13][14]�FFAGôʮĞ@CRadial sector Ĭ FFAG= Spiral sector

Ĭ FFAG B¬ɀˣ$�U�++<C�KURRI FFAG ¨��g<ơȡ.5 Radial

sector Ĭ@9�;ʩHU�FFAGm�f�z��<C�ɏĿBʳøˁBķû@Ŏ

.;ȵİBŲ-Yƿˈȧ@ķû-2UŻǔBm�f�z��=Ȥ?T�ȵİB

Ų-$�Ņ<�U5Môʮ=Ý@ʞʵ$ķû0U�K5�FFAGm�f�z��

CɉƿƇYȆ5.;�?�5M�ôʮĖǺƲCʭŤBm�f�z��=Ēǥ@

12

a~�e�=Ý@ķû0UĖĠĖǺƲ@Ēǌ-2U�.5$8;�ŻǔBm�

f�z��=Ēǥ@ FFAG m�f�z��CŲ˓ǒBăȞ"RE¿ȫŃŅƇB

ăȞ#S�˓ǒòYżU+=$<%U�

-S@ FFAG ôʮĞ<C�Ȥ?Uʳøˁ@Ŏ0Uˆʞʵ$0H;ȫ¾Ŵ=?

U==N@�˓ǒò$ʳøˁ@ÆS1�Ņ=?UR @0U�+BR ?Ǔº

<C��sz��u��$ʳøˁ@ÆS1�Ņ<�U��sz��u��

�$ʳøˁ@ÆS1�Ņ<?�?SD�u��$ķû0U+=<Ý˨ǓºY

Ȇ5.;.K ċɧƇ$�U�.#.�FFAGôʮĞC��sz��u��$

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û0U=¸ BR ?Ů@?U�

!

n(s) ="(s)

B0

#Bz

#x ƲŮ 2.48 ( 2.48 )

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;C

!

g(s) =1" n(s)

#(s)2 ƲŮ 2.49 ( 2.49 )

īȪƸĔBʳø@ˉ.;C�

!

g(s) =n(s)

"(s)2 ƲŮ 2.50 ( 2.50 )

<ɳ-VU�

++<�Ů( 2.13 )CķƲY s#SƸ¿ɿ�@ɡ%Ƥ!U�sC�ĖBʞʵ˅Y

2<ñ85ɉÇþŷ�0=�@R8;ǪŮBR @ǅ%Ȫ0+=$<%U�

!

s = "0# ƲŮ 2.51 ( 2.51 )

.5$8;�

!

ds = "0d# ƲŮ 2.52 ( 2.52 )

=ɳ-V�+BˉÈYȡ�;¸ BŮ$żSVU�

!

d2x

d" 2+ (1# n)

$0

$

%

& '

(

) *

2

x = 0 ƲŮ 2.53 ( 2.53 )

!

d2z

d" 2+ n

#0

#

$

% &

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( )

2

z = 0 ƲŮ 2.54 ( 2.54 )

Ů( 2.53 )�( 2.54 )RT�r�ɭćšYȆ50Ȏ@C¸ BǓºYȆ50Ɓɻ$�

U�

13

!

"

"p

#0

#

$

% &

'

( ) * = const

= 0 ƲŮ 2.55 ( 2.55 )

!

"n

"p# = const

= 0 ƲŮ 2.56 ( 2.56 )

Ů( 2.55 )CʳøˁBȤ?U¬9Bˆʞʵ$ȫ¾Ŵ@?U+=Yȶ.;�U�K

5Ů( 2.56 )C�Û;Bʳøˁ@Ŏ.;˓ǒò$Ē/@?U+=Yȶ.;�U�

2.5. Radial Sector Ĭ FFAGôʮĞBȵİéŢ

Radial sectorĬ FFAGôʮĞ<C�˘ȵȰBavn$ôʮĞ¦ƀ#SƬőȘ@

ů�5ɜ=�ɩ0U�Radial sectorĬB˘ȵȰBǤƐCĥ 2-4@ȶ0="T�Ȧ

Ʊ�˓ǒ�ȦƱ˘ȵȰ(DFD) YɗLĐX25z��vzĬB˘ȵȰ<�U�

ĥ 2-4� Triplet-radial sectorĬ FFAG˘ȵȰ

˓ǒ˘ȵȰ"REȦƱ˘ȵȰ@"�;nÎBɚŎÎ$Ē/ȵİYʸȡ.�#9˓

ǒȵİ=ȦƱȵİ<ȵİBĔ%Yʬʟ-2U+=<�ðɋ@ʩH5ʳøˁ@Æ

S?�ȫ¾ʞʵ=ɭćšr�Yņȝ0U�ÞÁȧ?ȵİéŢCŮ( 2.55 )Ů( 2.56 )

#SǪBŮ@R8;¢!SVU[4]�

!

B(r,") = B0

r

r0

#

$ %

&

' (

k

F(") ƲŮ 2.57 ( 2.57 )

Ů( 2.57 )@"�;�kCȵİúʽBĺ%-Yɳ.�kÎ=ĘDVU�F(�)C˓ǒ

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K5�3Bĺ%-CȉVȵİYȏɽ0VDʭŤ�Ņ<�Ý˨YɤƏ.;��s

z��u��$ʸê?Î@?UR @ʹF�F(�)$��sz��u��Y

ķ!UȞȢC�ÿ@F(�)$˓ǒȵİ"REȦƱȵİBŲ-Yķ!U6)<C?

'�ʬĔ%Bȵİ@R8;ˆʞʵBŴYķ!UB<�əǘȧ@˘ȵȰBèÚT

Ċ@")UʞʵBɿū�0?X7�avn˓ǒ@RU˓ǒò$ķû0U#S<

�U�+B÷ǘ@R8;Radial SectorĬFFAG<C�˓ǒ˘ȵȰ=ȦƱ˘ȵȰ

��

��

��

r

r

r

14

BŲ-BǯYķ!U+=<�ôʮĞʳʟƿ@��sz��u��Y�UɌĤ

<ʍƳ0U+=$<%U�

15

3. ņ˦ɷɡ

Ǐȱɂ<C KURRI FFAG ¨��g@;��sz��u��YȅŅ.5�

Ɏÿ@ȅŅBǿVYʌƾ0U�K1�žŔƜø<�U��sz��ƜøY˧Ė

ǺôʮɃǼO��sz��ƜøYʊʘ-2Uadk^s�Yȡ�;ƜøYĳť

0U�Ǫ@��¿ɡǠè�}s�Yȡ�;��¿ɡYǠè0U�ǇŹ@�

żSV5ÊĎYo�fs��\|�^l�<B FFTʀǖ@R8;��sz�

�u��YǳMU�-;�+BɅ<CǏȱɂ@Äȡ.5ôʮĞƹʅąE¨�

�g@9�;ʩH��sz��u��ȅŅ@Äȡ.5adk^s�Oôʮ

ɃǼ��¿ɡǠè�}s�@9�;ʩH;�'�

3.1. ôʮĞƹʅ

� ±ʼĺłăĿȌņ˦ƒ@"�;ôʮĞ˥øǎɨȣȌņ˦Yȩȧ=.5ôʮĞ

ƹʅ$ŭʅ-V5[15]�ôʮĞƹʅCÚőĞ(^b��s)��os��¨�

�gB�ČB FFAG ôʮĞ#S?T�ˏĿ��CǇɖȧ@ 150MeV K<ôʮ

-VU�^b�ȇ#Sů%è-V5��CÀa~�e��^�YʭT�

^b��s@Úő-VU�̂ b��sC Spiral sectorĬ FFAG=ĘDVUŴ

Ů<��sz��j\@RUʊœôʮYɰ8;�U�^b��s#SĈT

è-V5��CãE��^�@RTʤʫ-V5Ź��os�@Úő-

VU��os�C Radial Sector Ĭ FFAG<�T�ÚőC��us��ÚőƸ

Ů@R8;ɰ��˧ĖǺôʮɃǼ@R8;ôʮYɰ ��os�<ôʮ-V

5��C�Ē/' Radial Sector Ĭ FFAG<�U¨��g@R8;Ǉɖa~�

e�K<ôʮ-V�±ʼĺłɨȣ˓ĐÁ˪KUCA˫G=ʤʫ-VU�ĥ 3-1 @

KURRI@ŭʅ-V5 FFAGôʮĞɺĐɑYȶ0�

16

ĥ 3-1� KURRI@ŭʅ-V5 FFAGôʮĞɺĐɑ

3.2. KURRI FFAG¨��g

� ¨��gBÛÁĥYĥ 3-2 @ȶ0��os�#SĈTè-V5��CÚ

őq�s�=ĘDVUÏĔ˘ȵȰ@ÚT�ÏĔ-V;¨��g@Úő-VU�

Úő-V5��CÚődvc�˘ȵȰ@R8;ǃ*SV�Úőa~�e�<

Bˆʞʵ@ÚU�Úőa~�e�<Bˆʞʵ@Ú85��C˧ĖǺôʮɃǼ

@;ôʮ-V�ĈTè.a~�e�K<ôʮ-V5��C�ĈTè.dvc

�˘ȵȰ@R8;ǃ*SV�ĈTè.ʞʵ@ÚU�ǇŹ@�ĈTè.q�s�

@R8;��YôʮĞĸG=ĈTè0�

17

ĥ 3-2� ¨��gBÛÁĥ

ɳ 3-1� ¨��gʅʂÎ

Energy 20-150 MeV

Average beam current 1.0 nA

Acceleration RF

Field index,k 7.5

Pext/Pinj 2.83

Average orbit radius 4.54-5.12 m

Rep rate 60Hz (30Hz)

Operating point (3.71,1.38)

Injection scheme One-turn injection

Extraction scheme Fast extraction

Focusing-mag 1.63 T

Defocusing-mag 0.80 T

Straight section center leak

magnetic field

0.04 T

18

3.3. FFAG˘ȵȰ

� ¨��gB˘ȵȰ@C�ƕɱȧ?Ʒ.�ʇL=.;��f��=ĘDV

Uƕɱ$ȡ�SV;�U�ĥ 3-3@ȶ-VUR @�¦ļB˓ǒ˘ȵȰB�s�

��fYĈTˎ�5ŴȘ$¨��gB˘ȵȰ@ơȡ-V5�+BR ?ŴȘ

B˘ȵȰ<Cĥ 3-4BR ?ȵǱĠʜ$ŴƐ-U�Fj^�C¦ļB˓ǒ˘ȵȰ

@˓ǒȵİY9'U==N@�3B�s��=.;¤ɆBȦƱ˘ȵȰ@ʬĔ%

BȵİYÃU�ȦƱ˘ȵȰ@9)SV5� BȵǢY9?(��f˪ m��z˫

CƩǚBŶñYǘ50=Ēƿ@�3B˝Ɂ@ƃ/;ȦƱȵİBȵǒYȂS.FD

ǯYǵMU�-S@�Dj^�@R8;NFDǯYžʍƳ<%UR @?8;�

U�+BR ?ŴȘ@R8;�áÐąEĸÐ=N@��Y-!&U��f$

?'?T�˘ȵȰB�Uʻé<NÚőOĈTè.$ċɧ=?U�ô!;ņȡ�

Bîȍ=.;�˘ȵȰBʿˁNĺť@ȂS0+=$<%U�FFAGm�f�z�

�<C�¸ð#S��ÚőąE��ĈTè.Bģ˖$ƚƧ-V;�5$�

��f��Ĭ˘ȵȰ@R8;+BĜˢBĺʻé$ʀǵ-V5[16]�

ĥ 3-3� ��f��Ĭ˘ȵȰĸɾ

19

ĥ 3-4� ��f��Ĭ˘ȵȰBȵǱĠʜ

3.4. adk^s�

� īȪƸĔB��sz��ƜøYĳť0U5M@adk^s�YÄȡ.5��

�sz��ƜøYĳť0UăȞ@9�;CǪɅ<ʩHU�adk^s�C\�

�ɹBŦǕ˘Ǣ<ǤƐ-V;"T�ĥ 3-5 Bǥ@˘Ǣ@˧ĖǺ˘ħYāô0U

+=<˘Ǣˈ@˧ĖǺ˘İYȦȠ-2U�K5�adk^s�BĖǺƲȗƇY

˧ħ��Yȡ�;ȅŅ.5�3BəǘYĥ 3-6@ȶ0�

ĥ 3-5� adk^s�BǣƄĥ

Dj^� Fj^�

�F : ˓ǒ˘ȵȰBȵǒ

�D : ȦƱ˘ȵȰBȵǒ

�S : m��z�¦Bȵǒ

4�(2� + E F

20

ĥ 3-6 adk^s�BĖǺƲȗƇ

3.5. ˧ĖǺôʮɃǼ

� ǲŦƸĔB��sz��ƜøYĳť0U5M@˧ĖǺôʮɃǼYÄȡ.5�

��sz��ƜøYĳť0UăȞ@9�;CǪɅ<ʩHU�¨��g@Cũţ

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26

3.7. ��¿ɡǠè�}s�BɹÃ

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27

3.8. ȅŅɑ

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��2 ��+*�2

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28

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˪č˫ĳťĞ 2_ ENI_A1000 [22]

ĥ 3-20� ĳťĞ 3_ nf SA 220F5 [20]

29

4. ��sz��u��BȅŅ

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!

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Ab

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z�CĒ/Ŵo�fz�BɠTʨ.=?8;�U5M�mfrev@Ŏƃ0UfbYíƶ

30

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31

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Ʋ c@�ɩ-2VDR��+B=%�Ů( 4.5 )CŮ( 4.6 )=?T�1Ǫ(p = 1, q = 0,m

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++<�V0C��f˘ħ<�kC¿ȫķʍBƜť<�U�

32

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4.3. F/Dǯ@RU��sz��u��BƨÃ

� Radial sectorĬB FFAGôʮĞC Spiral sectorĬ=Ȥ?T�ȵİBɇĎBȤ?

UȵȰY°@¥HU+=@RTŲ˓ǒYņȝ0U�3B5M Radial sectorĬ<

CÏĔɿ$ĸĔ%@?UȵȰYʽɡ0U5M Spiral sectorĬ@ǯH;ôʮĞBk

^p$ǯʢȧĺ%'?U�.#.�ôʮĞBŭʅŹ@��sz��u��Y

ʍƳ0UİĐ�Spiral sectorĬ<C�]��{^�yvfo(kÎ)Yķ!U+=<

.#u��Yķ!SV?�$�Radial sector Ĭ<C˓ǒȵȰ(F)=ȦƱ˘ȵȰ

(D)BȵİŲūBǯ(F/D ǯ)Yķ!U+=<Nu��Yķ!U+=$<%

U[23]�56.�F/DǯBʍƳ<C¨@īȪƸĔBu��$ķû.�ǲŦƸĔ

Bu��C kÎ$Ʃʽȧ<�U�

� ��sz��u��Yķû-2U+=<��ƥĽB´Ƹ$>BR @ķ

û0UB#Yɾȅ0U5M�ņˑ@�˓ǒ�ȦƱ˘ȵȰBöȵ˘ǿǯ(F/Dǯ)Y

ķ!;��sz��u��YȅŅ.5�K1�F/D = 1.658<B��sz��

u��Yu��t^\g��@��vz.5NBYĥ 4-7 @ȶ0�ĥ¦

@;˙ɭB��c�$ F/D = 1.658<B��sz��u��ʗɭB��c�

$ F/D = 1.661<B��sz��u��<�U�DȵȰB˘ǿÎY�*U+=

<īȪƸĔ@��sz��u��$ķû.�ǲŦƸĔB��sz��u��

�$I=Z>ķû.?�+=$ȴ#MSV5�ôʮ 1.2msecBȍ<Ý˨ɜx - 2

y=1=°X8;"T�¸Źôʮ 2.0msecK<Ý˨ɜ@Ƿ ǥ?ƜUɪ�Y.;

�U+=$é#85�K5�ôʮ 4.0msecBȍ< F/D = 1.661BȍRTNÝ˨ɜ

2y=3 @Ƣʧ.;�U+=$ƾS#=?85�Ǫ@�ôʮĞ¦@ɡ#V5��

�Ųū�}s�RU��Úő#SĈTè.K<B��ŲūYĥ 4-8 @ȶ0�

ɟʠCÚőƿB��ŲūY 1 =.5ƿB��ŲūYɳ.;�U�ǧʠC�

��Úő#SBƿˈYɳ.;"T��Úő$ 0msec��ĈTè.$ɒ

20msec =?8;�U�ĥ 4-8 #S�ôʮ 1.2msec ąEôʮ 4.0msec Bȍ@;Ɔ

ŝ?��ƥĽ$ȦȠ.;�U+=$ƾS#=?85�

37

ĥ 4-7� u��t^\g�� ( F/D=1.658 )

ĥ 4-8� ôʮƿˈ@Ŏ0U��Ųū ( F/D=1.658 )

!

" x # 2" y =1

!

2" y = 3

1.2msec

4.0msec

2.0msec

!

"# y $ ±0.007

!

"#x$ ±0.007

Beam loss point`�x-2�y=1a

1.2msec

Beam loss point`2�y=3a

4.0msec6

F/D=1.661

F/D=1.658

38

� DȵȰB˘ǿÎY-S@�*�Ý˨ɜx - 2y=1Bŵ˞Yĉ)?�¿ɡK<

u��Ym�z-2UȅŅYɰ85�F/D = 1.653<B��sz��u��

Yu��t^\g��@��vz.5NBYĥ 4-9 @ȶ0�ôʮ 1.5msec

Bȍ@;Ý˨ɜx - 2y=1@ǇƢʧ.;�U+=$é#85�Ǫ@�ôʮĞ¦

@ɡ#V5��Ųū�}s�RU��Úő#SĈTè.K<B��Ųū

Yĥ 4-10 @ȶ0�ĥ 4-10 #S�ôʮ 1.5msec @"�;CƆŝ?��ƥĽ$

ȦȠ.;�?�+=$é#U�ĥ 4-9ąEĥ 4-10#S�ôʮ 1.5msec@ȍ<C

Ý˨ɜx - 2y=1@RU¡ŃŅˠĮBŵ˞Yĉ);�?�+=$ƾS#=?8

5�K5�ôʮ 3.5msec ¸ˋCÝ˨ɜ 2y=3Bŵ˞@RT��$ƥĽ.;.

K85=ɤ!SVU�

ĥ 4-9� u��t^\g�� ( F/D=1.653 )

1.5msec 0msec

!

" x # 2" y =1

!

"# y $ ±0.007

!

"#x$ ±0.007

F/D=1.661

F/D=1.653

39

ĥ 4-10� ôʮƿˈ@Ŏ0U��Ųū ( F/D=1.653 )

� Ý˨ɜ 2y=3 BĖT@<%UǉˌBťYƙ9¡ŃŅˠĮ(ozv��{)B

ȅŅYɰ85�ȅŅ<C�D ȵȰB˘ǿÎYź�@�*;�%��$ńÛ

@ƥĽ.;.K ��sz��u��YǳM5�+VK<BȅŅ#SÝ˨ɜ 2

y=3@ǇƢʧ0UȍCôʮ 4msecBȍ<�U+=$ƾS#@?8;�U�ôʮ

4msec ¸ˋBȍ<CÝ˨ɜ#S˕VUƸĔ@u��$ķû.;.K +=#

S�ȅŅȍ=.;3BȪðBôʮ 3.9msecBȍYʹZ6�

� K1�D ȵȰB˘ǿÎ@Ŏ0UīȪƸĔB��sz��u��BȅŅYɰ

85əǘYĥ 4-11 @ȶ0�ǧʠ$ D ȵȰB˘ǿÎYɳ.;"T�ɟʠCôʮ

3.9msec <B��sz��u��BɆƲYɳ.;�U�˘ǿY�*U@9V

;ɜŴȧ@u��$ĳô0UÓĔ$ɼSV5�DȵȰB˘ǿÎ$ 1042A¸ˋ

CÝ˨ɜBŵ˞@RT��Ųū$Ŕ-'?8;.K��əǘ S/N $Ɖ'?8

;.K�u��BȅŅC<%?#85�Ǫ@��$ńÛ@ƥĽ.;.K

DȵȰB˘ǿÎYȅŅ.5�ȅŅBəǘ�DȵȰB˘ǿÎ$ 1046A@;��

�$ńÛ@ƥĽ.5�D ȵȰB˘ǿÎ$ 1046A BˑB��ŲūYĥ 4-12 @

ȶ0�ôʮ 3.9msec ¸ˋB��ŲūC��Ųū�}s�@©85�^pB

ŵ˞@RUNB<�U�ǇŹ@�Ý˨ɜ 2y=3@R8;��$ńÛ@ƥĽ

.;.K ��sz��u��YǳM5�ĥ 4-11Bʧ¾ȪɜYÄȡ.�Dȵ

ȰB˘ǿÎ$ 1046A(F/D=1.656)BˑB��sz��u��C�y=1.487=

40

?85�

ĥ 4-11� ȦƱ˘ȵȰ˘ǿÎ@Ŏ0UīȪƸĔ��sz��u��BɆƲ

˪ôʮ 3.9msec˫

ĥ 4-12� ôʮƿˈ@Ŏ0U��Ųū ( F/D=1.656)

S_W:�<!�

�y= ±0.007

41

5. ɤō

5.1. ��sz��u��ȅŅ

� ��sz��u��BȅŅYɰ �<�ĈTè.a~�e�K<B��s

z��u��YȅŅ0U+=$<%?#85�ǲŦƸĔąEīȪƸĔ<CÝ

@�ôʮ0U@Ż�k^{��{$�^p@ĭNV;.K��S/Nǯ$Ɖ'?T

k^{��{Yɾȅ0U+=$<%?#85��^pBăġB�9=.;�ô

ʮĞá@�U��o˘ȇYÄȡ.5ɷɡBÖ˘�Ƭ˘�^p$ɤ!SVU�ņ

ˑ@�ņ˦Yˇľ.5ųìC��os�$ 60Hz�¨��gC 30Hz @;ʳʟY

ɰ8;�5�3B5M¨��g<��sz��u��YȅŅ.5ˑ��o

s�B��o˘ȇǩĞBÖ˘�Ƭ˘�^p$�}s�@©8;.K��S/Nǯ$

Ɖ'?Tk^{��{Yɾȅ0U+=$<%?#85�3B5M��os�

B��o˘ȇǩĞBÖ˘�Ƭ˘ĖǌY 30Hz@ķǄ.�¨��gąE��os�

$Ý@ 30Hzʳʟ=?85�3Bəǘ�¨��g<ɾȅ-V;�5��os�B

��o˘ȇǩĞ@ʘġ0U�^p$þȂ-V55M�S/Nǯ$Ĕ�.5�Ż8;�

³ŹC��os�ąE¨��gBʳʟĖǌY 15Hzɉ@ *U+=<�-S?U

S/NǯBĔ�$ǋMU<�W �

5.2. ��sz��u��Bķû=˗ɭćš

� FFAG ôʮĞ<C˗ɭćšYȆ50B<��sz��u��Cķø.?�

$��sz��u��BȅŅ#S#S˗ɭćšYȆ5-?�+=$é#8

5�ĥ 5-1 BR @��sz��u��Côʮ0U@Ż8;�3BÎ$ķû

.;�U+=$ƾS#=?85�+Bɋ<C�ôʮ@½ ��sz��u��

�Bķû@9�;ɤ!U�ĥ 5-1@ȶ0R @īȪƸĔąEǲŦƸĔ<CÝ@�

Úő#Sôʮ 6msec K<B��sz��u��$ĺ%'ķø.;�U+=$

é#85��Ƹ�ôʮ 6msec ¸ˋ<C��sz��u��$ĺ%'ķø.;

�?�+=$íƾ.5�+BR ?əǘ=?85ăġ=.;�˘ȵȰBȵİé

Ţ$ɤ!SVU�ĥ 2-4 BR @�þŷƸĔ@Ŏ.;��gáĖÐBȵǢ$ˇ

�;"T�+BǤʯ#SȉVȵİBŵ˞Yĉ)O0'ŃŅ.5ȵİ$ȦȠ.;

�?�=ƅXVU�ʬ@ĸĖÐ<CȵǢ$șK8;"TȉVȵİBŵ˞Nŕ?

'ŃŅ.5ȵİ$ȦȠ.;�U=ɤ!SVU�Ż8;�áĖÐ<C˗ɭćšY

Ȇ5-?�ÓĔ$ɼSV�ĸĖÐ<C˗ɭćš$Ȇ5-V;�UÓĔ$ɼSV

5=ɤ!SVU�

42

ĥ 5-1� ôʮƿˈ@Ŏ0U��sz��u��BɆƲ

5.3. Ý˨ɜ=��ƥĽ

+Bɋ<C�u��t^\g��Yȡ�;Ý˨ɜ=��ƥĽBˉÈ@9

�;ɤ!U�ĥ 4-5Bu��t^\g��#Sôʮ 0msec#Sôʮ 8msecK

<Bˈ<ɺƲBÝ˨ɜYǧê8;�U+=$é#U�ȗ@�ôʮ 1msec�ôʮ

2.5msec�ôʮ 6msecBȍ<Ý˨ɜx - 2y=1=°X8;�U�K5�ĥ 4-6#

S�ôʮ 2.5msec@;Ɔŝ?��ƥĽ$ɼSV5�+B=%�ĥ 4-5#Sôʮ

2.5msecBȍ<Ý˨ɜx - 2y=1=°X8;"T�+BÝ˨ɜBŵ˞<Ɔŝ?�

��ƥĽ$ȦȠ.;�U=ɤ!SVU�K5�ôʮ 1msec ąEôʮ 6msec Bȍ

@;Ɔŝ?��ƥĽCɼSV?#85�+VSBăġ=.;�Ý˨ɜąE3

BĖT@<%U¡ŃŅˠĮá@��sz��u��$ŁĨ.;�Uƿˈ$ˉ

È0U=ɤ!SVU[24]�ôʮ 2.5msecBȍ$µB¬ȍ=ǯH;��sz��u

��$¡ŃŅˠĮá@ŁĨ0Uƿˈ$˅#855M�µB¬ȍRTÝ˨Bŵ

˞Yĉ)5=ɤ!SVU�

!

"# y $ ±0.007

!

"#x$ ±0.007

MY_]=� �:�;9

43

5.4. F/Dǯ@Ŏ0U��sz��u��Bķû

+Bɋ<C�Ȥ?U F/D ǯ<B��sz��u��=Ý˨ɜ@9�;ɤō

0U�K1�F/DǯYķû-25=%B�ǪBÝ˨ɜx - 2y=1=BˉÈ@9

�;ɤ!U�ĥ 4-7Bu��t^\g��#S�F/D=1.661=ǯH; F/D=1.658

<Côʮ 1.2msec#S 2msecK<Bˈ�Ý˨ɜ@Ƿ R ?ƜUɪ�Y.;�U

+=$é#U�+BR @Ý˨ɜ@Ƿ R ?ƜUɪ�Y.;�U+=<Ý˨

ɜBĖTB¡ŃŅˠĮBŵ˞Yĺ%'ĉ)�F/D=1.661=ǯH;ĥ 4-8BR @

ĺ%?��ƥĽ$ȦȠ.5=ɤ!SVU�ĥ 4-9 Bu��t^\g��#

S�F/D=1.653<CÝ˨ɜx - 2y=1=C°X8;"S1�ôʮ 1.5msecB�5

T<Ý˨ɜx - 2y=1@ǇƢʧ.;�U+=$é#U�+B=%ĥ 4-10#Sô

ʮ 1.5msec B�5T<BƆŝ?��ƥĽCɼSV?#85�+B+=#S�

F/D=1.661#S F/D=1.653@0U+=<u��t^\g��@;u��$

�ƸĔ@m�z.�Ý˨ɜBŵ˞Yĉ)UɌĤ#SƗ)è.5+=$ƾS#=

?85�Ǫ@Ý˨ɜ 2y=3 Bŵ˞@9�;ɤ!U�F/D=1.661 <Cĥ 4-5 Bu

��t^\g��#S�ôʮ 4msecBȍ<Ý˨ɜ 2y=3@ǇƢʧ.;�U$�

ĥ 4-6 B��ŲūBĥ#Sôʮ 4msec Bȍ<CƆŝ?��ƥĽCɼSV?

#85�F/D=1.658<Nĥ 4-7Bu��t^\g��#Sôʮ 4msecBȍ<Ý

˨ɜ 2y=3@ǇƢʧ.;�U+=$é#85�+B=%�ĥ 4-8B��Ųū

Bĥ#Sôʮ 4msec@;Ɔŝ?��ƥĽ$ȦȠ.;"T�Ý˨ɜ 2y=3Bŵ

˞Yĉ);�U+=$ƾS#=?85�F/D=1.653<C�ôʮ 4msec<C��

$ńÛ@ƥĽ.;"Tu��ȅŅ$<%?#85�+VC�ôʮ 4msec <C

ńÛ@Ý˨ɜ 2y=3=°X8;.K�Ý˨ɜBŵ˞Yĺ%'ĉ);.K855

M6=ɤ!SVU�

5.5. Ý˨ɜBĠʺ

� �ǪBÝ˨ɜx - 2y=1 ąEÝ˨ɜ 2y=3 BĠʺ@9�;ɤō0U�

F/D=1.658<C�ĥ 4-7ąEĥ 4-8#Sé#UR @Ý˨ɜx - 2y=1@RU

ŵ˞<ôʮ 1.2msec @;Ɔŝ?��ƥĽ�Ý˨ɜ 2y=3 @RUŵ˞<ôʮ

4.0msec@;Ɔŝ?��ƥĽ$ɼSVU�Ý˨ɜ@RUƆŝ?��ƥĽBƪ

ĝBƸǹ=.;�F/DǯYķû-2U+=<u��Ym�z-2�Ý˨ɜYĠ

ʺ0U+=$ɤ!SVU�F/D=1.653BȅŅ<C�Ŗƒȧ@Ý˨ɜx - 2y=1Y

Ġʺ0U+=C<%5$�3B·XT@Ý˨ɜ 2y=3Bŵ˞Yĺ%'ĉ)Uə

ǘ=?8;.K85�F/D=1.661<C�ĥ 4-5ąEĥ 4-6#SX#UR @�Ǫ

BÝ˨ɜx - 2y=1@RUŵ˞<�ôʮ 2.5msec@;X1#?Ɔŝ?��ƥ

44

Ľ$ɼSVUNBBĺť?��ƥĽBÀȂ@Ɛó.5�F/D=1.658 <Cô

ʮ 1.2msec#S 2msecK<Bˈ�Ý˨ɜx - 2y=1@Ƿ R ?ƜUɪ�Y.

;�5$�F/D=1.661<CÝ˨ɜx - 2y=1Yʮ'��sz��u��$ʭʴ

.5+=@R8;Ý˨ɜąE3BĖT@<%U¡ŃŅˠĮá@��sz��u

��$ŁĨ.;�Uƿˈ$Ȃŕ.55MÝ˨ɜBŵ˞YĠʺ<%5=ɤ!S

VU[24]�K5�F/D=1.661 <C F/D=1.658 B=%@ɼSV5ôʮ 4.0msec <B

Ý˨ɜ 2y=3@RU��ƥĽBĺť?ÀȂ@Ɛó.5�

� -S?UÝ˨ɜBĠʺBƸǹ=.;�ɸǫȵǢBʪô$ɤ!SVU�ɸǫȵ

ǢBʪô@R8;Ŗƒȧ@˓ǒòYķû-2U+=<�yBķûťYŔ-'0

U+=$ċɧ=?U�Ż8;�ĥ 5-2ByBķûťYŔ-'0U+=$<%U

R ?ɸǫȵǢYʪô0U+=<��sz��u��$¬ǏBÝ˨ɜBˈ

BŃŅˠĮ@ɓKTÝ˨ɜBĠʺ$ċɧ=?U=ɤ!SVU�

ĥ 5-2� u��t^\g�� ( F/D=1.661 ) !

"# y $ ±0.007

!

"#x$ ±0.007

�&5

�&5

�&5

�&5

�y��

45

6. əʎ

� KURRI FFAG¨��g@;ìM;��sz��u��YȅŅ0U+=@Ɛ

ó.5�Ǐȱɂ<BƐǘC¸ B="T<�U�

1. Ý˨ɜ=��ƥĽBˉÈYʍH5əǘ�+BôʮĞ<Côʮ¦@ǧêUɺ

ƲBÝ˨ɜB¦<�2y = 3ąE�x � 2y = 1 BÝ˨ɜ$��ƥĽBăġ

<�U+=$ņ˦ȧ@ȴ#MSV5�

2. F/DǯYķû-2Uņ˦<�Ý˨ɜx � 2y = 1Yʺ)UR ?��sz�

�u��YʹHDÝ˨ɜ 2y = 3@##8;.K��əŖ¤ƸBÝ˨ɜY

ʺ)U+=C<%?�+=$ƾS#=?85�.#.�F/D=1.653=.5ņ˦

@;�ôʮ 1msec#S 2msec@#);BÝ˨ɜx � 2y = 1Bŵ˞YŖƒȧ

@Ġʺ0U+=@Ɛó.5�Ż8;�Ý˨ɜBŵ˞YĠʺ0U+=$ċɧ?

ÞÁȧ?��sz��u��BÎ$é#85�

3. Ý˨ɜ 2y = 3BKXTBozv��{YȅŅ.5�ozv��{Bť$

ƾS#=?855MÝ˨ɜ 2y = 3BĖT@"�;ŵ˞Yĉ)UɌĤ$é#

85�

4. Ý˨ɜx � 2y = 1<Bʮ�Ý˨ɜBʭʴ@R8;��ƥĽBÀȂ@Ɛó

.5�

� Ǐȱɂ@R8;ʺ)?)VD?S?�Ý˨ɜąEÝ˨ɜBŵ˞$ąFɌĤ$

é#T�³K<ăġ$¡ƾȴ<�85��ƥĽBăġ$ƾS#=?85�Ǐ

ȱɂƐǘYĉ);��ƥĽYʡȂ0U5M@ FFAG ôʮĞGBɸǫȵǢB

ʪô@RT��sz��u��BķûBťYȂS0+=O�ôʮĞ˘ȵȰB

ʍƳ@RUu��m�z?>BƓǹYÄ�Ý˨ɜYʺ)U+=YǌŸ0U�

46

A ¶˄

A.1. ozv��{

� +Bɋ<C�þƳƲÝ˨@")Uozv��{Bť=ȵİBʋš@9�;

ɤō0U�

� �ɫ@Ů( 2.27 )BR @�qǪBÝ˨BăġC 2qǢȵİ<�U�Ż8;�Ý

˨ɜ 2y=3Băġ=?8;�UȵİC � Ǣȵİ<�U�3+<�4ǢȵİBʋ

š@R8;=p+1/2˪p CƳƲ˫BKXT@Ƞ/Uozv��{Bť#S�4

ǢȵİBʋš@9�;ɤ!U��gá@;�s=s1@ k1�s=s2@ k2B 4ǢȵİB

ʋš$�UNB=0U�s1#SľKU 1ĖB�z�vfoC�

!

M s1( ) =

1 0

"k1ds11

#

$ %

&

' ( B

1 0

"k2ds

21

#

$ %

&

' ( A ƲŮ A.1 ( A.1 )

=?U�++<�A,BC3V4V s1#S s2 "RE s2#S s1GB�z�vfo<

�U�

!

R =0 0

1 0

"

# $

%

& ' ƲŮ A.2 ( A.2 )

?U�z�vfoYœÚ0U=��

!

M s1( ) = M

0s1( ) " RBA( )k1ds1 " BRA( )k2ds2

+ RBRA( )k1k2ds1ds2 ƲŮ A.3 ( A.3 )

=?U�++<�M0(s1)CʋšB?�ƿB�ĖB�z�vfo<�U�Ů( A.3 )

Bz��oY=U=��

!

2cosµ " 2cosµ0

= " k1#1ds1

+ k2#2ds

2( )sinµ0

+B12A12k1k2ds1ds

2

ƲŮ A.4 ( A.4 )

$żSVU�++<��

!

A12

= "1"2( )1/ 2

sin# $2%$

1( )

B12

= "1"2( )1/ 2

sin µ0%# $

2%$

1( )[ ] ƲŮ A.5 ( A.5 )

<�U+=YɤƏ.�Ů( A.4 )BčʦY��g�Ė@9�;Ɂé0U=��

!

cosµ " cosµ0

= "sinµ

0

2k s( )# s( )ds

0

C

$

+1

2ds1

0

C

$ ds2

s1

C

$ k1k2#1#2

%sin& '2"'

1( )sin µ0"& '

2"'

1( )[ ]

ƲŮ A.6 ( A.6 )

³�$þƳƲBʧ'@�U=.;��p+1/2+�="%��,k@9�;C¬Ǫ¸

47

�Yȏɽ0U=�Ů!( A.6 )B¬ʿɁéB¦BC p+1/2��C ��p+1/2�="'

+=$<%U��

!

sin p +1

2

"

# $

%

& ' (2 )(1( )

*

+ ,

-

. / sin 20 p +

1

2

"

# $

%

& ' (2 )(1( ) )1

*

+ ,

-

. /

=1

21) cos 2p +1( ) (2 )(1( )[ ]{ }

ƲŮ A.7 ( A.7 )

<�U#S�Ů( A.6 )C��

!

cosµ " cosµ0

= "sinµ

0

2k s( )# s( )ds

0

C

$

+1

4ds1k1#1( )

0

C

$ ds2s

1

C

$ k2#2( )

"1

4ds1

0

C

$ ds2

s1

C

$ k1k2#1#2cos 2p +1( ) %2 "%1( )[ ]

ƲŮ A.8 ( A.8 )

ɵɁéˉƲBŴYɤƏ0U=��

!

cosµ " cosµ0

= "sinµ

0

2k s( )# s( )ds

0

C

$

+1

8ds1k1#1( )

0

C

$ ds2

0

C

$ k2#2( )

"1

8ds1

0

C

$ ds2

0

C

$ k1k2#1#2cos 2p +1( ) %2 "%1( )[ ]

ƲŮ A.9 ( A.9 )

cos[(2p+1)(�2-�1)]Y ��[(2p+1)(�2-�1)]<ɡ%Ƥ!��=<ņʻY=U=�Ǉ

ɖȧ@Ů( A.9 )C

!

cosµ +1= 2" 2#2 + "#J0$1

8J2p+1

2

$ J0

2( ) ƲŮ A.10 ( A.10 )

++<��

!

Jn

= k s( )" s( )exp in#s[ ]ds0

C

$ ƲŮ A.11 ( A.11 )

Ż8;�þƳƲ¶ʧBozv��{CŮ( A.10 )@"�; cos�< -1=?U�<

�UB<�

!

"1

4#J0" J

2p+1( ) < $ < "1

4#J0

+ J2p+1( ) ƲŮ A.12 ( A.12 )

=?U�R8;�ozv��{BťC

!

"# =J2p+1

2$ ƲŮ A.13 ( A.13 )

<¢!SVU�Ż8;ņ˦<żSV5Ý˨ɜ 2y=3ĖTBozv��{Bť

#S¨��g 1ĖéB 4ǢȵİBʋš@ˉ0UÎ|J2p+1| YǳMU+=$<%�

48

|J3|=0.163=?85�

A.2. ʠŎȾBéŢYƙ9ȵİ¦Bʳø

� ˘ȵİ¦Bɯ˘ɏĿBʳøƸȿŮC

!

dp

dt= F ƲŮ A.14 ( A.14 )

!

F = e E + v "B( ) ƲŮ A.15 ( A.15 )

@R8;ɳ-VU�++< p Cʳøˁ�fz��F Cɯ˘ɏĿ$˘İ E"RE

ȵİ B #Sĉ)U��wò<�U�v CɏĿBʮū<�U��sz��

ƜøBĖǌC%XM;ȯ'�3B��6@ôʮ@R8;a~�e�$ķû0U

ñĐC%XM;Ŕ-��.5$8;��sz��ƜøBŃŅƇYʎ/U=%

@CôʮB+=Cɤ!1@�ÿ@ȵİ¦Bɯ˘ɏĿBʳøBLYɤ!VDR��

3+<�¸ Bʑʎ<C E=0="'�ʖˁC�Ņ=")UB<�Ů( A.14 )"R

EŮ( A.15 )C�

!

mdv

dt

"

# $

%

& ' = e v (B( ) ƲŮ A.16 ( A.16 )

=?U�âǚŬǦɑYȡ�U=Ů( A.16 )C

!

m ˙ ̇ r " r ˙ # 2( ) = e r ˙ # Bz" ˙ z B#( ) ƲŮ A.17 ( A.17 )

!

m1

r

d r2 ˙ " ( )

dt= e ˙ z B

r# ˙ r B

z( ) ƲŮ A.18 ( A.18 )

!

m˙ ̇ z = e ˙ r B" # r ˙ " Br( ) ƲŮ A.19 ( A.19 )

BR @ǅ)U�

� +V#S�ȵİ$ʠŎȾBéŢYN9İĐ˪B�=0˫BɏĿBʳøBŃŅƇ@

9�;ɤ!U�ʠŎȾBȵİéŢYƙ9ôʮĞ<ȡ�SVU˘ȵȰCȵǢB¦

ƀ˝˪median plane˫@Ŏ.;� ŎȾBǤʯYN8;"T�¦ƀʞʵC+B˝

á@�U�ăȍY¦ƀ=0Uþŷ r0BâĖ�BȵǒŋūY B0=0U=�þŷ r0

BâCʳøˁ p=er0B0BɏĿ@Ŏ.;ˆʞʵ@?8;�U+=CƾS#<�U�

.5$8;�median planeá@�8;þŷ r0BâʞʵY¦ƀʞʵ=ʹF�̧ B

ĈTƔ�@"�;C�ɏĿC¦ƀʞʵB,'ʧÑYʳø0UNB=¹Ņ.��

�sz��ƜøBƜťC¦ƀʞʵBþŷ@ǯH;üéŔ-�NB=0U�

� âǚŬǦ@"�;C�ɏĿBʮū vC

!

v = ˙ r 2 + r ˙ " ( )

2

+ ˙ z 2 ƲŮ A.20 ( A.20 )

<¢!SVU��ɫBɏĿBʞʵ$¦ƀʞʵ@ʧ�ƿ@C�ʮūB r Ɛé= z

49

ƐéC�Ɛé@Ŏ.;üéŔ-�=ɼ?2UB<�üéR�ʧ¾<

!

v " r ˙ # ƲŮ A.21 ( A.21 )

="'+=$<%U�+BR ?=%@C�Ů( A.17 )"REŮ( A.19 )C3V4

V�

!

˙ ̇ r = evm( )B

z+ v

2

r ƲŮ A.22 ( A.22 )

!

˙ ̇ z = " evm( )Br

ƲŮ A.23 ( A.23 )

BR @ǅ'+=$<%U�

� ʞʵ$¦ƀʞʵ@ʧ�+=#S r=r0+x ="'�K5�ȵǒŋū@9�;N¦

ƀʞʵBKXT<ŗˇ.;3B�ǪB˟K<Yǭ0NB=0U�

!

Bz" B

0# nB

0

r0

$ % &

' ( ) x ƲŮ A.24 ( A.24 )

++<�nCŮ( 2.4 )<Ņɣ.5NB<�U�Ů( A.24 )YŮ( A.22 )@·Ú. v=r0

�Yȡ�U=�x@ˉ0UʳøƸȿŮ�

!

˙ ̇ x +" 21# n( )x = 0 ƲŮ A.25 ( A.25 )

YżU�++<�CĖĠĖǺƲ<�U�

� Ǫ@ z ƸĔBʳøYɤ!U�¦ƀʞʵ�<C B BþŷƸĔBƐéCr�<�

U+=Yɤ!U=�BrC�

!

Br"#B

r

#zz ƲŮ A.26 ( A.26 )

=ʧ¾0U+=$<%U�ȵİBƇʖ#S rotB=0$ƐTɄ9+=@ǻƋ0U=�

!

"Br

"z="B

z

"r ƲŮ A.27 ( A.27 )

BˉÈ$�U#S�BrC�

!

Br

="B

z

"rz = #

nB0

r0

z ƲŮ A.28 ( A.28 )

BR @ǅ)U�+VYŮ( A.23 )@·Ú0U=�

!

˙ ̇ z +" 2nz = 0 ƲŮ A.29 ( A.29 )

$żSVU�

�

50

ʏʥ

� ǏȱɂYɰ @�5T�ƈKV5ȟĲ=ǥ�?ǩ¼3.;ʕʿ?ɘ˦Y¢!

;'6-�K.5ǟɣǶưƟ@ȁ'ƌʏ�5.K0��ŧþȿBȯ�ǌˈ<C

�TK.5$�±ʼĺłăĿȌņ˦ƒ< FFAG ôʮĞYɄ7�*UÃǡ@ƦX

U+=<ż5ɘ˦C�˜Ť@áŊBȋ'�3.;ʕʿ?NB=?TK.5�Ȱ

ȹȀåưƟ��ǐǂưõư�Ǜř˚Ưȱɂě�Ⱥ¯ĺł¯�ÊŇěưƟ�Ⱥ¯

ĺłʾ¯ǸưƟ�Ⱥ¯ĺłśʻǀĺõư�ƕɱɥěBđˀǰ?> FFAG ôʮĞ

ʳʟg��YǤƐ.;�5Ȩǥ#SưXTK.5ȮʐOƕɱC�ôʮĞ@ˉ

0U«6)<?'˜Ť@ĹŚ@ȃT�ǴȡƇB�UNBD#T<�ťũ�ɽˀ

#SȖ«YɼUʃɝY0U+=$èǔK.5+=Yƌʏ�5.K0�

� ˅á×ʣ�Thomas Planche×ʣ�Jean-Baptiste Lagrange×ʣ#SC��Bɤ

!Ƹ@9�;Ĺ'B+=Yư!;�56�5+=@«@ƌʏ.K0�ǟȱɂň

ȽǅBŔˀǰ@Cĺł«ùƓɛ%ɉBǥ�?ŽʽƏ@ƌʏ�5.K0�

� K5ĒʣBřŞƈɢǰ�Ⱥ¯ĺł˧˃ɬȀǰ�Ⱥ¯ĺł³ǽɮǨǰ@C�Ö

ņ.5łȠȠǾ=ȱɂYɰ +=$èǔ5«Yƌʏ�5.K0�

� ǇŹ@Ǐȱɂ@ˉX8; -�K.5Ȩǥ@ƌʏ0U==N@�Ȅ#'Ʃ!

;'V5ŉƺ@ƌʏ.K0�

51

ůȡƴȚ

[1] Y. Kuno Nuclear Physics B (Proc. Suppl) 149(2005) 376-378

[2] T. Yokoi et. al Proceedings of PAC01,2001,127-129

[3] H. Schonauer, MedAustron and CERN ”FFAG for Hadron Therapy.pdf”

/lpsc.in2p3.fr/RACCAM/

[4] K. R. Symon et. al Phys. Rev.103(1956)1837

[5] F. T. Cole Proc.Cycl.Conf,April 11,1994

[6] M. Yoshimoto et. al Proceedings of PAC01,2001,51-53

[7] Y. Yonemura et. al Nuclear Instrument and Methods in Physics Research

A 576 (2007) 294-300

[8]ª¯², ǍăÕļ, �ôʮĞȼł�§ĝ, 1993.

[9] S.Y.Lee, “Accelerator Physics”, World Scientific Publishing, 1999. [10] ȸʒŨȻ�ôʮĞBăȞ�˧a~�e�ôʮĞq�|�, 1984.

[11] Ernest D. Curant, MSECtanley Livingstone, and Hartland S. Snyder,

”The Strong-Focusing Synchrotron - A New High Energy Accelerator”,

Physical Review, Vol.103, No.6, 1837

[12] K K. R. Symon, D. W. Kerest, L. W. Jones, L. J. Laslett,

and K. M. Terwillinger, ”Fixed-Field Alternating-Gradient Particle Accelerators”,

Physical Review, Vol.103, No.6, 1837,(1956)

[13] A.A.Kolomensky, and A.N,Lebedev,

Theory of Cyclec Acclerators,”North-Holland Publishing Company”1966.

[14]ȒʒŌĻ��ôʮĞ��ÝɄèȕǜŮ¼ȷ�1975

[15]ǟɣǶ, “±ʼĺłăĿȌņ˦ƒ@")U FFAG ôʮĞBˇȦ”, ôʮĞł¼ʈ, April 2008, vol.5 no.1, p. 27.

[16] M. Aiba, et al., ”A 150 MeV FFAG with return-yoke free magnet”, Proceedings of

2003 Particle Accelerator Conference, (2003)

[17]Ǎ·ɔʱ, �m�f�z�B��}s��,

˧a~�e�ôʮĞ�}s�, 1986.

[18] S-i.Kurokawa, S.Y.Lee, E.Perevedentsev, and S.Turner, “Beam Measurement”,

world Scientific Publising, 1999.

[19] http://www.tek.com/

[20] http://www.nfcorp.co.jp/

[21] http://www.thamway.co.jp/

[22] http://www.atecorp.com/Equipment/ENI/a1000.asp

[23]đǏƭŰ�’’ĦŅȵİŲ˓ǒm�f�z��ôʮĞ¦@")U��t^|

�vfoBȱɂ’’�ĒƂȷĺłĺłˍşłȱɂȼ˘ǱşłŐƫ�ĀĶʎƴ

[24] R. Baartman, "Fast Crossing of Betatron Resonances",

Proc. of FFAG 2004, Vancouver, 2004.

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