Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Düsseldorf
VDI-Verl.
2012
|
| Edition: | Als Ms. gedr. |
| Series: | Fortschritt-Berichte VDI
Reihe 8, Mess-, Steuerungs- und Regelungstechnik ; 1209 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 194 S. zahlr. graph. Darst. 21 cm |
| ISBN: | 9783185209086 |
Staff View
MARC
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| 245 | 1 | 0 | |a Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons |c Dieter Lens |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2012 | |
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| 490 | 0 | |a Berichte aus dem Institut für Automatisierungstechnik und Mechatronik der TU Darmstadt IAT | |
| 502 | |b Dissertation |c Technische Universität Darmstadt |d 2012 | ||
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Record in the Search Index
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| adam_text | IMAGE 1
V
CONTENTS
LIST O F S Y M B O L S VIII
A B S T R A C T / K U R Z F A S S U N G XI
1 I N T R O D U C T I O N 1
2 L O N G I T U D I N A L S I N G L E P A R T I C L E D Y N A M I C S 6
2.1 I N T R O D U C T I O N 6
2.2 S Y N C H R O T R O N O S C I L L A T I O N 8
2.2.1 C O O R D I N A T E S Y S T E M IN B E A M D Y N A M I C S 8
2.2.2 RELATIVISTIC PARTICLES IN E L E C T R O M A G N E T I C F I E L D
S 10
2.2.3 P H A S E STABILITY P R I N C I P L E 12
2 . 2 . 4 L O N G I T U D I N A L R E F E R E N C E T R A J E C T O R Y
13
2.2.5 D I S C R E T E E Q U A T I O N S A N D M A P P I N G A L G O R I
T H M 16
2.2.6 C O N T I N U O U S L O N G I T U D I N A L E Q U A T I O N S 2 2
2 . 2 . 7 S Y N C H R O T R O N O S C I L L A T I O N A N D P H A S E
STABILITY 2 5
2 . 2 . 8 D I S C U S S I O N O F T H E L O N G I T U D I N A L E Q U A
T I O N S 2 6
2.3 S I N G L E H A R M O N I C R F 2 8
2.3.1 I N T R O D U C T O R Y R E M A R K S 2 8
2.3.2 T R A J E C T O R Y P R O P E R T I E S 2 8
2.3.3 B U C K E T A N D B U N C H A R E A 3 2
2 . 3 . 4 N O N L I N E A R S Y N C H R O T R O N F R E Q U E N C Y 3 5
2 . 4 A C C E L E R A T I O N C Y C L E 3 7
2.5 C O N C L U S I O N 3 9
3 C O H E R E N T L O N G I T U D I N A L B E A M O S C I L L A T I O N
S 4 0
3.1 I N T R O D U C T I O N 4 0
3.1.1 S O U R C E S O F D I S T U R B A N C E S 4 0
3.1.2 C O H E R E N T O S C I L L A T I O N S 4 1
3.2 H A M I L T O N I A N S Y S T E M S A N D L I O U V I L L C S T H
E O R E M 4 4
3.3 P R O P E R T I E S O F B U N C H E D B E A M S 4 7
3.3.1 PARTICLE D E N S I T Y D I S T R I B U T I O N S 4 7
3.3.2 L O N G I T U D I N A L E M I T T A N C C 4 8
3.3.3 L I N E D E N S I T Y A N D B E A M C U R R E N T 5 1
3.3.4 M A T C H E D B U N C H 5 3
3 . 4 L O N G I T U D I N A L B U N C H O S C I L L A T I O N S IN T H E
T I M E D O M A I N 5 5
3.4.1 M I S M A T C H E S O F A B U N C H 5 5
HTTP://D-NB.INFO/1023228874
IMAGE 2
V I C O N T E N T S
3.4.2 L O N G I T U D I N A L O S C I L L A T I O N M O D E S 5 6
3.4.3 A N A L Y T I C A L DEFINITION O F W I T H I N - B U N C H M O D E
S 5 8
3.5 L O N G I T U D I N A L B U N C H O S C I L L A T I O N S IN T H E F
R E Q U E N C Y D O M A I N 6 0
3.5.1 L O N G - T E R M S P E C T R U M O F B U N C H E D B E A M S 6 0
3.5.2 S H O R T - T E R M S P E C T R U M O F E L L I P S O I D A L B U
N C H E S 6 5
3.5.3 B U N C H P O S I T I O N A N D L E N G T H 7 0
3 . 5 . 4 S I M U L A T I O N R E S U L T S O F S H O R T - T E R M S P
E C T R U M 7 3
3.5.5 EFFECTIVE S Y N C H R O T R O N F R E Q U E N C Y 7 7
3 . 6 C O N C L U S I O N 8 0
4 M O D E L S O F C O H E R E N T O S C I L L A T I O N S 8 2
4.1 I N T R O D U C T I O N 8 2
4 . 2 C H A R A C T E R I S A T I O N O F T H E D Y N A M I C S 8 4
4.2.1 B E A M D Y N A M I C S A S PARTIAL DIFFERENTIAL E Q U A T I O N 8
4
4 . 2 . 2 DEFINITION O F I N P U T VARIABLES 8 7
4.2.3 DEFINITION O F T H E C O N T R O L P R O B L E M 8 8
4 . 3 C O N T R O L L A B I L I T Y 8 8
4.3.1 L I N E A R S Y S T E M S 8 8
4 . 3 . 2 N O N L I N E A R S Y S T E M S 8 9
4 . 4 M O D E L I N G S C H E M E F O R S I N G L E - B U N C H O S C I
L L A T I O N S 9 0
4.4.1 M O M E N T S 9 1
4 . 4 . 2 B A S I C M O D E L I N G P R I N C I P L E 9 3
4.4.3 M O M E N T S A N D D E N S I T I E S 9 4
4.5 L I N E A R B U C K E T : T H E S M A L L B U N C H A S S U M P T I
O N 9 9
4.5.1 B E A M A N D M O M E N T D Y N A M I C S 9 9
4 . 5 . 2 M O D E L P R O P E R T I E S 101
4 . 6 N O N L I N E A R B U C K E T 107
4.6.1 M O D E L D E R I V A T I O N 108
4 . 6 . 2 M O D E L S F O R C O H E R E N T M O D E S 114
4.6.3 M O D E L S F O R E L L I P S O I D A L B U N C H E S 120
4 . 6 . 4 M O D E L S O F F I L A M E N T A T I O N 123
4 . 7 C O N C L U S I O N 124
4.7.1 C O M P A R I S O N O F R F F E E D B A C K M O D E L S 1 2 4
4.7.2 S U M M A R Y O F T H E R E S U L T S 126
5 D A M P I N G O F S I N G L E - B U N C H O S C I L L A T I O N S 1 2
7
5.1 A N A L Y S I S O F R F F E E D B A C K S Y S T E M S O F T H E S I
S 18 A T G S I 127
5.1.1 S T R U C T U R E O F R F F E E D B A C K L O O P S 127
5.1.2 STABILITY O F L I N E A R T I M E D E L A Y S Y S T E M S 133
5.1.3 STABILITY A N A L Y S I S O F B U N C H L E N G T H F E E D B A C
K 1 3 6
5.1.4 T R A C K I N G , L I N E A R M O D E L , A N D F E E D B A C K P
E R F O R M A N C E 1 3 8
5 . 2 A N A L Y S I S O F A B E A M E X P E R I M E N T 145
5.2.1 I N T R O D U C T I O N 146
5.2.2 B E A M PROFILE 147
IMAGE 3
C O N T E N T S V I I
5.2.3 T R A C K I N G S I M U L A T I O N S 149
5.3 E X E M P L A R Y N O N L I N E A R C O N T R O L L E R D E S I G N
152
5.3.1 STABILITY O F T H E Q U A D R U P O L E M O D E 153
5.3.2 O P T I M I Z A T I O N B A S E D C O N T R O L L E R D E S I G N
156
5 . 4 C O N C L U S I O N 159
6 C O N C L U S I O N 161
A M A T H E M A T I C A L F O R M U L A E 1 6 3
A . L ELLIPTIC INTEGRALS 163
A . 2 S P C C I A L F U N C T I O N S 164
A . 3 S P E C T R U M O F P H A S E M O D U L A T E D S I G N A L S 165
A.3.1 G E N E R A L N O T A T I O N 165
A . 3 . 2 D I R A C S E R I E S A N D P H A S E M O D U L A T I O N 166
A . 3 . 3 A P E R I O D I C A N D P E R I O D I C S I G N A L S 166
B A C C E L E R A T O R P H Y S I C S 1 6 8
B . L RELATIVISTIC R E L A T I O N S 168
B . 2 S I M U L A T I O N P A R A M E T E R S 170
B.3 L O N G I T U D I N A L T R A C K I N G A L G O R I T H M 170
C M O D E L I N G R E S U L T S 1 7 3
C . L C O H E R E N T O S C I L L A T I O N F R E Q U E N C I E S 173
C . 2 M O M E N T S A N D M O D E S 173
C.2.1 E L L I P S O I D A L B U N C H E S 173
C . 2 . 2 B U N C H E S W I T H S I N G L E - B U N C H M O D E S 175
C.3 M O M E N T D Y N A M I C S IN A L I N E A R S T A T I O N A R Y B U
C K E T 178
C . 4 M O M E N T D Y N A M I C S IN A N O N L I N E A R S T A T I O N A
R Y B U C K E T 180
C.4.1 E Q U I L I B R I U M O F T H E S T A T I O N A R Y A N D N O N L
I N E A R B U C K E T 180
C . 4 . 2 L I N E A R I Z E D D Y N A M I C S 180
C . 4 . 3 M O D E L S F O R C O H E R E N T M O D E S 182
C . 4 . 4 M O D E L S F O R E L L I P S O I D A L B U N C H E S 185
B I B L I O G R A P H Y 1 8 7
|
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| dewey-full | 539.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
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| discipline | Physik |
| edition | Als Ms. gedr. |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040240662 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:19:45Z |
| institution | BVB |
| isbn | 9783185209086 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025096872 |
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| owner | DE-634 DE-83 DE-210 |
| owner_facet | DE-634 DE-83 DE-210 |
| physical | XI, 194 S. zahlr. graph. Darst. 21 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | VDI-Verl. |
| record_format | marc |
| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 8, Mess-, Steuerungs- und Regelungstechnik Berichte aus dem Institut für Automatisierungstechnik und Mechatronik der TU Darmstadt IAT |
| spelling | Lens, Dieter 1981- Verfasser (DE-588)1022520970 aut Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons Dieter Lens Als Ms. gedr. Düsseldorf VDI-Verl. 2012 XI, 194 S. zahlr. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 8, Mess-, Steuerungs- und Regelungstechnik 1209 Berichte aus dem Institut für Automatisierungstechnik und Mechatronik der TU Darmstadt IAT Dissertation Technische Universität Darmstadt 2012 Synchrotron (DE-588)4184234-0 gnd rswk-swf Ionenstrahl (DE-588)4162347-2 gnd rswk-swf Strahlüberwachung (DE-588)4257834-6 gnd rswk-swf Schwerionenbeschleuniger (DE-588)4180500-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Schwerionenbeschleuniger (DE-588)4180500-8 s Synchrotron (DE-588)4184234-0 s Ionenstrahl (DE-588)4162347-2 s Strahlüberwachung (DE-588)4257834-6 s DE-604 Fortschritt-Berichte VDI Reihe 8, Mess-, Steuerungs- und Regelungstechnik ; 1209 (DE-604)BV000882482 1209 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025096872&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lens, Dieter 1981- Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons Fortschritt-Berichte VDI Synchrotron (DE-588)4184234-0 gnd Ionenstrahl (DE-588)4162347-2 gnd Strahlüberwachung (DE-588)4257834-6 gnd Schwerionenbeschleuniger (DE-588)4180500-8 gnd |
| subject_GND | (DE-588)4184234-0 (DE-588)4162347-2 (DE-588)4257834-6 (DE-588)4180500-8 (DE-588)4113937-9 |
| title | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons |
| title_auth | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons |
| title_exact_search | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons |
| title_full | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons Dieter Lens |
| title_fullStr | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons Dieter Lens |
| title_full_unstemmed | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons Dieter Lens |
| title_short | Modeling and control of longitudinal single-bunch oscillations in heavy-ion synchrotrons |
| title_sort | modeling and control of longitudinal single bunch oscillations in heavy ion synchrotrons |
| topic | Synchrotron (DE-588)4184234-0 gnd Ionenstrahl (DE-588)4162347-2 gnd Strahlüberwachung (DE-588)4257834-6 gnd Schwerionenbeschleuniger (DE-588)4180500-8 gnd |
| topic_facet | Synchrotron Ionenstrahl Strahlüberwachung Schwerionenbeschleuniger Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025096872&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000882482 |
| work_keys_str_mv | AT lensdieter modelingandcontroloflongitudinalsinglebunchoscillationsinheavyionsynchrotrons |