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TY - CONF AU - Vinogradova, E.M. AU - Egorov, N.V. AU - Kalaturskaja, E.V. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - The Infinitely Thin Field Emitter Mathematical Modeling J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - In this work an axisymmetric diode electron-optical system based on a field emitter is simulated. The field emitter in the form of a thin filament of finite length is located on the flat substrate with the dielectric layer. The anode is a plane. The electrostatic potential distribution was found in an analytical form - in the form of Fourier-Bessel series in the whole area of the system under investigation. The coefficients of Fourier-Bessel series are the solution of the system of linear equations with constant coefficients. PB - JACoW CP - Geneva, Switzerland SP - 342 EP - 344 KW - electron KW - cathode KW - vacuum KW - electronics DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-TUPSA064 UR - http://jacow.org/rupac2016/papers/tupsa064.pdf ER -