On the solutions of the Haissinski equation with some simple wake functions いくつかの簡単なウェイク関数に対するハイシンスキー方程式の解について
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Bibliographic Information
- Title
-
On the solutions of the Haissinski equation with some simple wake functions
- Other Title
-
いくつかの簡単なウェイク関数に対するハイシンスキー方程式の解について
- Author
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菖蒲田, 義博
- Author(Another name)
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ショウブダ, ヨシヒロ
- University
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東北大学
- Types of degree
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博士(理学)
- Grant ID
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甲第6663号
- Degree year
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1999-03-25
Note and Description
博士論文
Table of Contents
- Abstract / p2 (0003.jp2)
- Contents / p4 (0005.jp2)
- 1 Introduction / p5 (0006.jp2)
- 2 Formalism for Bunch Lengthening in Accelerators / p7 (0008.jp2)
- 2.1 Fokker-Planck Equation / p7 (0008.jp2)
- 2.2 Longitudinal single-bunch instability / p10 (0011.jp2)
- 3 Longitudinal Distribution of an Electron Bunch for a Purely Capacitive Impedance / p12 (0013.jp2)
- 3.1 Analytical Solution / p12 (0013.jp2)
- 3.2 Properties of Q(A) / p13 (0014.jp2)
- 4 Longitudinal Distribution of an Electron Bunch for a Purely Inductive Impedance / p17 (0018.jp2)
- 4.1 Purely Inductive Wake Function / p17 (0018.jp2)
- 4.2 Wake Function with an Inductive Wake Function / p18 (0019.jp2)
- 4.3 Property of a Singularity Point / p19 (0020.jp2)
- 4.4 Stability Condition / p25 (0026.jp2)
- 5 Conclusions and Discussions / p29 (0030.jp2)
- A Hamiltonian for a Relativistic Particle / p31 (0032.jp2)
- B Synchrotron Oscillation / p33 (0034.jp2)
- C Wake Functions and Impedances / p35 (0036.jp2)
- C.1 Wake Functions / p36 (0037.jp2)
- C.2 Impedances / p39 (0040.jp2)
- D Bunch Lengthening and Impedance in Accelerators / p42 (0043.jp2)
- D.1 Scaling Law for Bunch Lengthening / p42 (0043.jp2)
- D.2 Estimation of Impedance in Accelerators / p44 (0045.jp2)