论文标题
自发摇摆器和同步辐射的变分原理
Variational Principle for Spontaneous Wiggler and Synchrotron Radiation
论文作者
论文摘要
在希尔伯特空间理论的框架内，我们开发了适用于从相对论电子梁或其他处方经典电流来源的经典自发电磁辐射的最大“功率”变异原理（MPVP）。总结了一个简单的证据，即在真空中传播的三维领域的情况下，还讨论了对近似光学的重要情况的专业化。这些技术已经开发出对相对论电子束的起伏辐射进行建模，但更广泛地适用于同步加速器或其他辐射问题，并可能推广到某些结构化介质。我们用一个简单的，主要是分析的示例来说明应用程序，涉及自发的悬挂式辐射（需要额外近似近似），以及一个大多数数字示例，涉及X射线生成，通过测序的起伏器中的高谐波产生
Within the framework of a Hilbert space theory, we develop a maximum-``power'' variational principle (MPVP) applicable to classical spontaneous electromagnetic radiation from relativistic electron beams or other prescribed classical current sources. A simple proof is summarized for the case of three-dimensional fields propagating in vacuum, and specialization to the important case of paraxial optics is also discussed. The techniques have been developed to model undulator radiation from relativistic electron beams, but are more broadly applicable to synchrotron or other radiation problems, and may generalize to certain structured media. We illustrate applications with a simple, mostly analytic example involving spontaneous undulator radiation (requiring a few additional approximations), as well as a mostly numerical example involving x-ray generation via high harmonic generation in sequenced undulators
