Matrix theory of the motion of a charged particle beam in curvilinear space-time Part I. General theory

Dymnikov, Alexander D.; Hellborg, Ragnar

doi:10.1016/0168-9002(93)90563-w

Cited by 40 publications

(6 citation statements)

References 3 publications

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“…For real probe-forming systems in which the level of parasitic field lens components are known and can highly contribute into the beam degradation on the target, the parasitic aberrations must be regarded in phase coordinate transformation (5). Such consideration is the matter of interest for further investigations.…”

Section: Discussionmentioning

confidence: 99%

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Influence of the beam current density distribution on the spatial resolution of a nuclear microprobe

Ponomarov

Miroshnichenko

Ponomarev

2009

Nuclear Instruments and Methods in Physics Research Section B:

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Section: Discussionmentioning

confidence: 99%

“…Aberrations of the probe-forming system are elements of the R matrix calculated by the matrizant method [5].…”

Section: Beam Dynamics Simulationmentioning

confidence: 99%

Influence of the beam current density distribution on the spatial resolution of a nuclear microprobe

Ponomarov

Miroshnichenko

Ponomarev

2009

Nuclear Instruments and Methods in Physics Research Section B:

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“…This matrix technique is known as the Matrizant method. 7 We use this technique for solving the equations of motion, the nonlinear differential equations in four-dimensional phase space, for example, for the field with the rotational or quadrupole symmetry accurate to terms of the third order. These equations are replaced by two vector linear equations ͑for x and y planes͒ in the 12-dimensional phase moment space or by one equation in the 24-dimensional phase moment space.…”

Section: Matrix Approachmentioning

confidence: 99%

Theoretical study of short electrostatic lens for the Columbia ion microprobe

Dymnikov

Brenner

Johnson

et al. 2000

Review of Scientific Instruments

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A short probe-forming system is developed for the Columbia Microprobe that includes four electrostatic quadrupoles with a Russian quadruplet configuration. The smallest beam spot size and appropriate optimal parameters of the probe-forming systems have been found. These parameters of the system are compared with appropriate parameters of other field configurations including the electrostatic and magnetic fields with dipole, quadrupole, and rotational symmetry. The new original construction of the electrostatic quadruplet has been manufactured. The sensitivity of this quadruplet to some misalignments of the construction is investigated.

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“…The latter calculations included space charge effects as well as an accurate description of the distribution of the potential in the region of the ion source extraction. A new recursive technique [9,10] was used in these studies to solve the equations of motion for charged particles.…”

Section: Introductionmentioning

confidence: 99%

A high resolution AMS-injector for the Pelletron in Lund

et al. 2002

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A high resolution injector system has recently been installed at the Lund 3 MV tandem Pelletron accelerator. The new injector, designed mainly for 26 Al ions, will increase the experimental potential of the Lund AMS facility considerably. High quality energy-and mass-resolution is obtained by using a 90 AE spherical electrostatic analyzer followed by a 90 AE magnetic analyzer. The injector is equipped with a high intensity sputtering source with a spherical ionizer.A new analytical technique for acceptance calculations as well as PC-based computational methods have been used in the design of the ion optical system of the new injector.Compared to our old injector system which has a magnetic analyzer with a bending angle of only 15 AE , the new system has a more than ten times better resolution. The beam optics of the new system is also better designed to match the accelerator acceptance. In this way the ion transmission from the ion source to the detector, for different ions of interest in our AMS programme, has been increased.

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Matrix theory of the motion of a charged particle beam in curvilinear space-time Part I. General theory

Cited by 40 publications

References 3 publications

Influence of the beam current density distribution on the spatial resolution of a nuclear microprobe

Influence of the beam current density distribution on the spatial resolution of a nuclear microprobe

Theoretical study of short electrostatic lens for the Columbia ion microprobe

A high resolution AMS-injector for the Pelletron in Lund

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