導體平板邊界下電子束產生之相干同步輻射之數值研究;A Numerical Approach to Study Coherent Synchrotron Radiation by a Bunch of Electrons with Conducting Plate Boundaries

NCU Institutional Repository > 理學院 > 物理研究所 > 博碩士論文 > Item 987654321/97836

請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/97836

題名:	導體平板邊界下電子束產生之相干同步輻射之數值研究;A Numerical Approach to Study Coherent Synchrotron Radiation by a Bunch of Electrons with Conducting Plate Boundaries
作者:	黃家姮;Huang, Chia-Heng
貢獻者:	物理學系
關鍵詞:	同調同步輻射光;平板板邊界;屏蔽效應;李納–維赫特方程式;Coherent Synchrotron Radiation;Parallel Plate Boundaries;Shielding Effect;Liénard–Wiechert equation
日期:	2025-08-25
上傳時間:	2025-10-17 11:58:45 (UTC+8)
出版者:	國立中央大學
摘要:	相干同步輻射（Coherent Synchrotron Radiation，簡稱 CSR）是高能粒子加速器中的一項基本現象，於加速過程中會改變束長與能量展散，從而對束流動力學產生顯著影響。理解並控制 CSR 效應，對於維持現代加速器系統中束流的品質至關重要。本研究提出一套針對一維粒子束系統中 CSR 效應的完整理論模型。我們自基本的 Liénard–Wiechert 方程出發，該方程描述受加速電荷產生的電磁場。為了提升數值處理的可行性並聚焦於相干輻射效應，我們系統性地將瞬時空間電荷項自控制方程中剔除。我們針對兩種不同的邊界條件進行穩態解分析：自由空間傳播與存在金屬導體壁時的傳播。在每一種配置下，我們計算粒子束內部不同縱向位置上粒子所經歷的能量調變情形。本方法採用無近似的解析推導，為深入理解 CSR 影響下的束流能量動態提供了理論基礎。本研究的一項關鍵發現是，當源粒子與測試粒子之間的距離極小時，CSR 效應表現出急遽線性的變化。我們基於同步輻射特徵脈衝寬度的直觀縮放方法來解析此變化區間。此縮放策略不僅提升了數值穩定性，也有助於理解主導束流動力學的短程 CSR 交互作用。本研究成果有助於對粒子加速器中束流集體效應的基本理解，並為預測與緩解高亮度電子束系統中 CSR 所造成的束流劣化提供了理論依據。 ;Coherent Synchrotron Radiation (CSR) represents a fundamental phenomenon in high-energy particle accelerators, where it significantly influences beam dynamics by modifying both bunch length and energy spread during the acceleration process. Understanding and controlling CSR effects is crucial for maintaining beam quality in modern accelerator systems. This work presents a comprehensive theoretical model of CSR effects in a one-dimensional particle beam system. Our approach begins with the fundamental Liénard-Wiechert equations, which describe the electromagnetic fields generated by accelerated charged particles. To enhance numerical tractability and focus on the coherent radiation effects, we systematically remove the instantaneous space charge contribution from the governing equations. We investigate steady-state solutions under two distinct boundary conditions: free-space propagation and propagation in the presence of metallic conducting walls. For each configuration, we calculate the beam energy modulation experienced by particles at different longitudinal positions within the bunch structure. The methodology employs exact analytical treatment without approximations, providing a rigorous foundation for understanding the underlying physics of beam energy dynamics under CSR influence. A key finding of this work is that CSR effects exhibit highly rapid variations when the separation between source and test particles becomes small. To address this computational challenge and provide physical insight, we develop an intuitive scaling approach based on the characteristic pulse duration of synchrotron radiation. This scaling method offers both numerical stability and physical understanding of the short-range CSR interactions that dominate the beam dynamics. The results contribute to the fundamental understanding of collective beam effects in particle accelerators and provide a theoretical framework for predicting and mitigating CSR-induced beam degradation in high-brightness electron beam systems.
顯示於類別:	[物理研究所] 博碩士論文

文件中的檔案:

檔案	描述	大小	格式	瀏覽次數
index.html		0Kb	HTML	27	檢視/開啟

在NCUIR中所有的資料項目都受到原著作權保護.

社群 sharing

資料載入中.....