@article{3037806,
    title = "Focusing and guiding charged particles using two-layer superconducting tubes: A theoretical approach",
    author = "Agop, M. and Ioannou, P. and Buzea, C. and Matsuzawa, H. and Danila, R. and Raileanu, T.",
    journal = "Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers",
    year = "2002",
    volume = "41",
    number = "7 A",
    pages = "4523-4526",
    publisher = "Japan Society of Applied Physics",
    doi = "10.1143/jjap.41.4523",
    keywords = "Calculations;  Charged particles;  Differentiation (calculus);  Electron beams;  Mathematical models;  Nonlinear equations;  Partial differential equations, Elliptic functions;  Focusing length;  Self-focusing force;  Superconducting tube lenses, Superconducting devices",
    abstract = "A theoretical model of self-focusing of an impulse electron beam in a two-layered superconducting tube is designed. The self-focusing force is calculated and, by defining the pair breaking time of the superconducting pair, it is shown that this is conditioned among others by the ratio of the beam pulse period to the pair breaking time. The model is validated by evaluating both the breaking time and the focusing length."
}