IPAC2013 - List of Authors (Tomin, S.I.)

Paper	Title	Page
MOPEA051	Insertion Devices Influence on the Beam Dynamics at Siberia-2 Storage Ring	193
	S.I. Tomin, V. Korchuganov NRC, Moscow, Russia
	Siberia-2 is now running with 7.5 T wiggler and the installation of additional two 3 T SC wigglers is under consideration. Besides that the insertion of an undulator with very short period up to 7 mm is planed. We studied an influence of the insertion devices on the dynamic aperture using new computer code which permits to find an electron beam trajectory in ID by Runge-Kutta integrator. Using two independent approaches it was shown that ID introduces the nonlinear components of magnetic field which lead to significant decrease of dynamic aperture in vertical direction. Nonlinear components of ID magnetic field are shown. Results of numerical calculation of Siberia-2 dynamic aperture are presented as well.

TUPEA007	Spontaneous Radiation Calculations for the European XFEL	1176
	I.V. Agapov, G. Geloni XFEL. EU, Hamburg, Germany O.V. Chubar BNL, Upton, Long Island, New York, USA M. Scheer, M. Titze HZB, Berlin, Germany N.V. Smolyakov, S.I. Tomin NRC, Moscow, Russia
	Calculating spontaneous radiation emission from long undulators such as those present in the European XFEL, being background to FEL radiation, is still important for several diagnostics and science cases. For realistic setups, and including effects of electron beam focusing, emittance and energy spread in the electron beam, these calculations should be performed numerically. We present these calculations for several electron beam and undulator parameters performed by various codes. Sensitivity of different spontaneous radiation characteristics, in various collection schemes, to the electron beam and undulator magnetic field parameters is studied

WEPWA044	Electron Trajectories in a Three-dimensional Undulator Magnetic Field	2223
	N.V. Smolyakov, S.I. Tomin NRC, Moscow, Russia G. Geloni XFEL. EU, Hamburg, Germany
	In this contribution we present an analysis of electron trajectories in the three dimensional magnetic field from a planar undulator. The electron trajectory is influenced by the focusing properties of the undulator field. In the European XFEL case, long segmented undulators (21 segments for the SASE3 beamline to 35 for SASE1 and SASE2) are planned to be installed, with quadrupole lenses between different segments. These focusing properties should be taken into account in simulations of spontaneous radiation, which constitutes the background signal of the FEL. The ideal magnetic field of an undulator can be described by a sinusoidal vertical magnetic field on the undulator axis, and by horizontal and longitudinal field components that appear out of axis. Exploiting this description for the ideal case, an experimentally measured magnetic field is accounted for by solving the differential equations of motion. The electrons' trajectories for the experimentally measured magnetic field were also simulated numerically. To that aim, a computer code was written, which relies on the Runge-Kutta algorithm. The analytical and numerical methods show a good agreement.

Paper

Title

Page

Insertion Devices Influence on the Beam Dynamics at Siberia-2 Storage Ring

193

S.I. Tomin, V. Korchuganov
NRC, Moscow, Russia

Siberia-2 is now running with 7.5 T wiggler and the installation of additional two 3 T SC wigglers is under consideration. Besides that the insertion of an undulator with very short period up to 7 mm is planed. We studied an influence of the insertion devices on the dynamic aperture using new computer code which permits to find an electron beam trajectory in ID by Runge-Kutta integrator. Using two independent approaches it was shown that ID introduces the nonlinear components of magnetic field which lead to significant decrease of dynamic aperture in vertical direction. Nonlinear components of ID magnetic field are shown. Results of numerical calculation of Siberia-2 dynamic aperture are presented as well.

TUPEA007

Spontaneous Radiation Calculations for the European XFEL

1176

I.V. Agapov, G. Geloni
XFEL. EU, Hamburg, Germany
O.V. Chubar
BNL, Upton, Long Island, New York, USA
M. Scheer, M. Titze
HZB, Berlin, Germany
N.V. Smolyakov, S.I. Tomin
NRC, Moscow, Russia

Calculating spontaneous radiation emission from long undulators such as those present in the European XFEL, being background to FEL radiation, is still important for several diagnostics and science cases. For realistic setups, and including effects of electron beam focusing, emittance and energy spread in the electron beam, these calculations should be performed numerically. We present these calculations for several electron beam and undulator parameters performed by various codes. Sensitivity of different spontaneous radiation characteristics, in various collection schemes, to the electron beam and undulator magnetic field parameters is studied

WEPWA044

Electron Trajectories in a Three-dimensional Undulator Magnetic Field

2223

N.V. Smolyakov, S.I. Tomin
NRC, Moscow, Russia
G. Geloni
XFEL. EU, Hamburg, Germany

In this contribution we present an analysis of electron trajectories in the three dimensional magnetic field from a planar undulator. The electron trajectory is influenced by the focusing properties of the undulator field. In the European XFEL case, long segmented undulators (21 segments for the SASE3 beamline to 35 for SASE1 and SASE2) are planned to be installed, with quadrupole lenses between different segments. These focusing properties should be taken into account in simulations of spontaneous radiation, which constitutes the background signal of the FEL. The ideal magnetic field of an undulator can be described by a sinusoidal vertical magnetic field on the undulator axis, and by horizontal and longitudinal field components that appear out of axis. Exploiting this description for the ideal case, an experimentally measured magnetic field is accounted for by solving the differential equations of motion. The electrons' trajectories for the experimentally measured magnetic field were also simulated numerically. To that aim, a computer code was written, which relies on the Runge-Kutta algorithm. The analytical and numerical methods show a good agreement.