RuPAC2016 - List of Keywords (multipole)

Paper	Title	Other Keywords	Page
WEPSB019	Orbital Motion in Multipole Fields via Multiscale Decomposition	controls, storage-ring, lattice, octupole	404
	A.N. Fedorova, M.G. Zeitlin RAS/IPME, St. Petersburg, Russia
	We present applications of methods of nonlinear local harmonic analy- sis in variational framework for a description of multiscale decomposition in polynomial/rational approximations (up to any order) for nonlinear motions in arbitrary n-pole fields. Our approach is based on the methods allowed to consider dynamical beam/particle localization in phase space and provided exact multiscale representations via nonlinear high-localized eigenmodes for observables with exact control of contributions to motion from each underlying hidden scale.
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WEPSB024	Program Complex for Modeling of the Beam Transverse Dynamics and Orbit Correction in Nuclotron, LHEP JINR	pick-up, software, transverse-dynamics, emittance	414
	I.V. Antropov, V.O. Khomutova, V.A. Kozynchenko, D.A. Ovsyannikov, A.O. Sidorin, G.V. Trubnikov Saint Petersburg State University, Saint Petersburg, Russia I.L. Avvakumova, A.O. Sidorin, G.V. Trubnikov JINR/VBLHEP, Dubna, Moscow region, Russia O.S. Kozlov, V.A. Mikhaylov JINR, Dubna, Moscow Region, Russia
	Program complex for modelling of transverse dynamic of particle beams and orbit correction at Nuclotron synchrotron (LHEP JINR) is considered in current work. The program complex provides calculation of transverse dynamic of charged particle beams in Nuclotron and its axis, based on linear model with transport matrix of lattice elements, calculation of Nuclotron Twiss parameters, acceptance and emittance of the beam. A possibility to optimize the location of beam position monitors (pick-up) and multipole correctors is foreseen as well as calculation of the orbit with measuring data of pick-up stations of Nuclotron. Program complex includes realizations of orbit correction algorithms with response matrix and provides correction of the orbit in Nuclotron. User's graphic interface provides interaction of user with program complex, including performance on demand of the user of separate functions of the program complex, providing input and maintenance of parameters, download from file and record into the file of parameters and calculation results, graphical view of the calculations results in program complex. Program software environment is integrated with MAD-X program (upload, processing of data to and from, visualization). Format of input and output data is compatible with relevant MAD-X format.
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WEPSB026	Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps	background, controls, dynamic-aperture, resonance	419
	A.N. Fedorova, M.G. Zeitlin RAS/IPME, St. Petersburg, Russia
	We start with a qualitative approach based on the detailed analysis of smoothness classes of the underlying functional spaces provided possible evaluation of the dynamical aperture in general nonlinear/polynomial models of particle/beam motion in accelerators. We present the applications of discrete multiresolution analysis technique to the maps which arise as the invariant discretization of continuous nonlinear polynomial problems. It provides a generalization of the machinery of local nonlinear harmonic analysis, which can be applied for both discrete and continuous cases and allows to construct the explicit multiresolution decomposition for solutions of discrete problems which are the correct discretizations of the corresponding continuous cases.
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THPSC001	The Multipole Lens Mathematical Modeling	electron, vacuum, cathode, controls	535
	E.M. Vinogradova Saint-Petersburg State University, Saint-Petersburg, Russia A.V. Starikova Saint Petersburg State University, Saint Petersburg, Russia
	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.
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Paper

Title

Other Keywords

Page

WEPSB019

Orbital Motion in Multipole Fields via Multiscale Decomposition

controls, storage-ring, lattice, octupole

404

A.N. Fedorova, M.G. Zeitlin
RAS/IPME, St. Petersburg, Russia

We present applications of methods of nonlinear local harmonic analy- sis in variational framework for a description of multiscale decomposition in polynomial/rational approximations (up to any order) for nonlinear motions in arbitrary n-pole fields. Our approach is based on the methods allowed to consider dynamical beam/particle localization in phase space and provided exact multiscale representations via nonlinear high-localized eigenmodes for observables with exact control of contributions to motion from each underlying hidden scale.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

WEPSB024

Program Complex for Modeling of the Beam Transverse Dynamics and Orbit Correction in Nuclotron, LHEP JINR

pick-up, software, transverse-dynamics, emittance

414

I.V. Antropov, V.O. Khomutova, V.A. Kozynchenko, D.A. Ovsyannikov, A.O. Sidorin, G.V. Trubnikov
Saint Petersburg State University, Saint Petersburg, Russia
I.L. Avvakumova, A.O. Sidorin, G.V. Trubnikov
JINR/VBLHEP, Dubna, Moscow region, Russia
O.S. Kozlov, V.A. Mikhaylov
JINR, Dubna, Moscow Region, Russia

Program complex for modelling of transverse dynamic of particle beams and orbit correction at Nuclotron synchrotron (LHEP JINR) is considered in current work. The program complex provides calculation of transverse dynamic of charged particle beams in Nuclotron and its axis, based on linear model with transport matrix of lattice elements, calculation of Nuclotron Twiss parameters, acceptance and emittance of the beam. A possibility to optimize the location of beam position monitors (pick-up) and multipole correctors is foreseen as well as calculation of the orbit with measuring data of pick-up stations of Nuclotron. Program complex includes realizations of orbit correction algorithms with response matrix and provides correction of the orbit in Nuclotron. User's graphic interface provides interaction of user with program complex, including performance on demand of the user of separate functions of the program complex, providing input and maintenance of parameters, download from file and record into the file of parameters and calculation results, graphical view of the calculations results in program complex. Program software environment is integrated with MAD-X program (upload, processing of data to and from, visualization). Format of input and output data is compatible with relevant MAD-X format.

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reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

WEPSB026

Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps

background, controls, dynamic-aperture, resonance

419

A.N. Fedorova, M.G. Zeitlin
RAS/IPME, St. Petersburg, Russia

We start with a qualitative approach based on the detailed analysis of smoothness classes of the underlying functional spaces provided possible evaluation of the dynamical aperture in general nonlinear/polynomial models of particle/beam motion in accelerators. We present the applications of discrete multiresolution analysis technique to the maps which arise as the invariant discretization of continuous nonlinear polynomial problems. It provides a generalization of the machinery of local nonlinear harmonic analysis, which can be applied for both discrete and continuous cases and allows to construct the explicit multiresolution decomposition for solutions of discrete problems which are the correct discretizations of the corresponding continuous cases.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

THPSC001

The Multipole Lens Mathematical Modeling

electron, vacuum, cathode, controls

535

E.M. Vinogradova
Saint-Petersburg State University, Saint-Petersburg, Russia
A.V. Starikova
Saint Petersburg State University, Saint Petersburg, Russia

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.

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)