arXiv subjects
Publications and source records attributed to M. Migliorati.
The parabolic functions are introduced in analogy to the circular and hyperbolic cases. We discuss the relevant properties, the geometrical interpretation and touch on possible generalizations and their link with the modular elliptic functions.
We discuss the conditions required for an optimal SASE FEL operation when bunch compression techniques are exploited to enhance the bunch peak current. We discuss the case of velocity bunching and magnetic bunch compression. With the reference to the latter technique we provide a quantitative estimate of the amount of laser heater power necessary to suppress the micro-bunching instability without creating any problem to the SASE dynamics
We review the teory of the pseudo-iperbolic functions on the basis of an algebraic point of view which employs the Eisenstein group. We frame the teory within the general context of the number decomposition and discuss the importance of these functions in the theory of the generalized Fourier transforms
We have performed bunch lengthening and microwave instability threshold measurements on the positron ring of the Frascati electron-positron Phi-factory DAPhNE. The results are in a good agreement with earlier analytical predictions and numerical simulations.