Electrodynamics of Relativistic Electron Beam X-Ray Sources

Abstract

Probing matter at atomic scales provides invaluable information about its structure; as a result interest in sources of x-rays and γ-rays with high spectral resolution, low angular divergence and small source size has been on the rise. Explorations in this domain require x-ray or γ-ray sources with high brightness. In the past decade, relativistic electron sources such as synchrotron rings and free electron lasers have proven to be the best technology available for the production of such beams. We1 start with an introduction to the physics of radiation and provide a summary of the theoretical grounds this work is based on. This dissertation is dedicated to different aspects of both fundamental processes of radiation in relativistic electron sources, and critical control and diagnostics that are required for the operation of these sources. Therefore this work is broken into two main parts. In the first part, the electron source that is currently set up at University of Hawai‘i at Manoa will be introduced in detail. This source has unique capabilities as it is an inverse- Compton scattering (ICS) source that uses a free electron laser (FEL) with pulses of pi-cosecond duration at ~ 3 GHz rate for production of a coherent/semi-coherent x-ray beam by means of an optical cavity. After introducing the essential elements of the system and what was achieved prior to this work, we will focus on the requirements for achieving an optimum electron beam matched for the operation of the system which is the main focus of part I of this dissertation. The transport beam line of our system is unique and complex. For this reason, a simulation module has been developed for the study and delivery of an optimal beam. We will discuss the capabilities of this system and its compatibility with other elements that were already installed on the beam line. Finally, we will present results and experimental data as well as guidelines for future operation of the system when the microwave gun has been enhanced and/or the optical cavity (the final step of this proof-of-principle experiment) has been commissioned. Due to the complexity of this integrated system, one of the goals of this work is to serve the future members and staff of the UH FEL laboratory in configuring and operating this complex system. The final goal of the UH ICS project is to establish the principles on which producing a successful turn-key commercial inverse-Compton x-ray source will depend on. In the second part of this work we start with the discussion of coherent radiation at its most fundamental level, with emphasis on conservation of energy. We show that for coherently radiating particles the failure of conventional classical electrodynamics (CED) is far more serious than the well-known failure of CED at small scales. We will present a covariant picture of radiation in terms of the theory of action-at-a-distance and introduce a time-symmetric approach to electrodynamics. We demonstrate that this time symmetric ap- proach provides a perfect match to the energy radiated by two coherently oscillating charged particles. This work is novel, as this was an unsolved problem in classical electrodynamics up until now. We also discuss how the conceptual implication of this work is demanding. For this purpose, we will propose two different experiments that can further our understanding of the presented problem. The first experiment involves a small (λ/10) antenna, and the goal is to measure the advanced field of the absorber at distances of 5λ or less. Calculation and precise measurement of the antenna field/potential at distances of order λ is challenging, causing this experiment to be a difficult yet possible task. In the second experiment, we discuss in some detail the experimental setup that would verify and/or further our understanding of the underlying physics of Self Amplified Spontaneous Emission (SASE) FELs. We provide an analytical verification as a first step toward better understanding the process, and provide a list of required parameters for the SASE test. These parameters are at the edge of current technol- ogy of current light sources, making this experiment also a demanding and challenging task. We conclude that further detailed studies by means of simulation or analytical approaches can reduce the strain of SASE test.