TY - GEN

T1 - The multipole lens mathematical modeling

AU - Vinogradova, E. M.

AU - Starikova, A. V.

N1 - Conference code: XXV

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In the present work the mathematical model of the multipole system is presented. The multipole system is composed of arbitrary even number of the uniform electrodes. Each of the electrodes is a part of the plane. The potentials of the electrodes are the same modulus and opposite sign for neighboring electrodes. The variable separation method is used to solve the electrostatic problem. The potential distribution is represented as the eigen functions expansions. The boundary conditions and the normal derivative continuity conditions lead to the linear algebraic equations system relative to the series coefficients.

AB - In the present work the mathematical model of the multipole system is presented. The multipole system is composed of arbitrary even number of the uniform electrodes. Each of the electrodes is a part of the plane. The potentials of the electrodes are the same modulus and opposite sign for neighboring electrodes. The variable separation method is used to solve the electrostatic problem. The potential distribution is represented as the eigen functions expansions. The boundary conditions and the normal derivative continuity conditions lead to the linear algebraic equations system relative to the series coefficients.

UR - http://www.scopus.com/inward/record.url?scp=85040454170&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85040454170

T3 - 25th Russian Particle Accelerator Conference, RuPAC 2016

SP - 535

EP - 537

BT - 25th Russian Particle Accelerator Conference, RuPAC 2016

PB - JACoW

T2 - 25th Russian Particle Accelerator Conference, RuPAC 2016

Y2 - 21 November 2016 through 25 November 2016

ER -