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arXiv physics/0106039physics.acc-ph
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跃迁辐射谱中的相干效应和实际结果

Coherence effects in the transition radiation spectrum and practical consequences

Gian Luca Orlandi

摘要:

在赝光子方法的框架下,在远场近似的假设下,对三维带电粒子束与金属靶相互作用产生的跃迁辐射谱进行了形式化的计算。当出现空间非相干条件时,三维光束的横向尺寸通过对横向分布的傅立叶变换的适当依赖性影响光谱,而光谱的时间相干增强以与一维光束的情况相同的方式通过纵向形状因子仅取决于纵向光束尺寸。空间非相干效应,出现在光谱中的短波长,一方面允许更好地理解跃迁辐射现象学的某些方面--例如总辐射能量的解析公式--另一方面在跃迁辐射作为粒子加速器中横向束流尺寸的诊断方法的实际应用中提供新的视角。

英文摘要:

In the framework of the pseudophotons method and under the hypothesis of the far field approximation the formal evaluation of the transition radiation spectrum produced by a three-dimensional charged beam interacting with a metallic target is carried out. When spatial incoherent conditions are occurring, the transverse size of a three-dimensional beam affects the spectrum via a suitable dependence on the Fourier transform of the transverse distribution, while the temporal coherent enhance of the spectrum depends only on the longitudinal beam size via the longitudinal form factor in the same manner as in the case of a one-dimensional beam. Spatial incoherent effects, arising at short wave-length in the spectrum, on the one hand allow a better comprehension of some aspects of the transition radiation phenomelogy - e.g. an analytical formula for the total radiated energy - and on the other hand offer new perspectives in the practical application of the transition radiation as diagnostics method of the transverse beam size in a particle accelerator.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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