Bursting of coherent synchrotron radiation has been observed and in fact used to generate THz radiation in many electron storage rings. In order to understand and control the bursting, we return to the study of the microwave instability. In this paper, we will report on the theoretical understanding, including recent developments, of the microwave instability in electron storage rings. The hist...

Electron clouds can adversely affect the performance of accelerators, and are of particular concern for the design of future low emittance damping rings. Studies of the impact of electron clouds on the dynamics of bunch trains in Cesr have been a major focus of the Cesr Test Accelerator (CesrTA) program. In this paper, we report measurements of coherent tune shifts, emittance growth, and cohere...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

We present a model describing high power stable broadband coherent synchrotron radiation (CSR) in the terahertz frequency region in an electron storage ring. The model includes distortion of bunch shape from the synchrotron radiation (SR), which enhances higher frequency coherent emission, and limits to stable emission due to an instability excited by the SR wakefield. It gives a quantitative e...

The contribution of coherent wiggler radiation (CWR) to the microwave instability threshold in wiggler-dominated storage rings such as damping for colliders is discussed detail. Three different impedance models are considered: free-space steady-state model, parallel-plates shielding and rectangular-chamber model. field dynamics CWR compared, showing that broad-band unshielded becomes dominated ...

However, John Rees has pointed out that the above reference is incorrect. The dynamic p was realized a few years later, and the correct references are: 15. F. Amman, R. Andreani, M. Bassetti, M. Bernardini, A. Cattoni, R. Cerchia, V. Chimenti, G. Corazza, E. Ferlenghi, L. Mango, A. Massarotti, C. Pellegrini, M. Placidi, M. Puglisi, G. Renzler, F. Tazzioli, International Conference on High Energ...

The internal strain in cyclic amides are explained as a factor of resonance that are effected on the bond length C-N  and are a major factor of rates of hydrolysis. The cyclic amides in this study are optimized by Gaussian program and the bond length of C-N in the rings are studied by HF/6-31G*.

about the possibility of broadband coherent synchrotron radiation (CSR) as a source of intense radiation in the traditionally difficult far-infrared/terahertz wavelength region. One of the most interesting features of CSR is that the emitted power scales quadratically with the number of electrons involved. Since the typical number of electrons in a bunch is a billion or more, the potential for ...

Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states that “for what rings R do we have K(AC)=K(R-Inj)?”. We give an answer to such a question. As applications, obtain new homological approach unifies some well-known conditions Krause’s recollement holds, and example show there exists Gorenstein injective module is not AC-injective. also improve Neeman’s an...