Advances in Imaging and Electron Physics, Volume 193 by Peter W. Hawkes

By Peter W. Hawkes

The 2 chapters that fill this quantity describe instruments for learning the brightness of electron beams and for analysing the homes of mass spectrometers.

First, L.D. Duffy and A.J. Dragt introduce the idea that of eigen-emittance. 3 kinematic invariants are linked to charged-particle beams, in linear shipping mode. those invariants are referred to as eigen-emittances and a learn in their homes makes it attainable to tailor the beam to slot the applying in query. the idea relies at the suggestion of sym-plectic beam delivery, a subject matter on which A.J. Dragt has already contributed to those Advances (Advances in Electronics & Electron Physics, sixty seven, 1986, 65—120, with E. Forest). The authors first recapitulate the fundamental conception ahead of explaining how the emittance could be tailored as required. the rest of the bankruptcy, which shape a quick treatise at the topic, offers a variety of applications.

In the second one bankruptcy, I. Spivak-Lavrov describes at size methods of analysing the houses of either static and time-of-flight mass spectrometers and of devising new designs. The optics of those tools is determined out intimately, in an try and make the object self-contained. a lot Russian paintings is brought up, usually from journals that aren't on hand in English translation and every so often, should not commonly on hand outdoor their international locations of beginning.

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Dragt Carlsten, B. , et al. (2011). Arbitrary emittance partitioning between any two dimensions for electron beams. Physical Review Special Topics—Accelerators and Beams, 14, 050706. 050706. , & Emma, P. (2002). Transverse to longitudinal emittance exchange. Physical Review Special Topics—Accelerators and Beams, 5, 084001. 084001. Dragt, A. (2014). Lie methods for nonlinear dynamics with applications to accelerator physics. html. Dragt, A. , & Rangarajan, G. (1992). General moment invariants for linear hamiltonian systems.

5) ! where β ¼ v =c is dimensionless speed and τ ¼ c t has the dimension of length. If we except time τ from Eq. (5) by means of the law of conservation of energy and pass to the differentiation of a particle by the length of an arc of l trajectories, we obtain the equation of a trajectory of any charged particle of a beam in dimensionless variables: ! ! d2 r rΦ 1 dr ¼ + pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2 dl 2 ðΦ + εΦ 0 Þ 2 ðΦ + εΦ 0 Þ ð1 + γ Þ dl ! ! ! dr dr rΦ , Á Âr ΩÀ dl dl 2Φ + εΦ0 (6) !

Dragt, A. , & Rangarajan, G. (1992). General moment invariants for linear hamiltonian systems. Physical Review A, 45(4), 2572–2585. 2572. Duffy, L. , et al. (2011). Exploring minimal scenarios to produce transversely bright electron beams using the eigen-emittance concept. Nuclear Instruments and Methods, A654, 52–56. 096. , et al. (2006). Transverse-to-longitudinal emittance exchange to improve performance of high-gain free-electron lasers. Physical Review Special Topics—Accelerators and Beams, 9, 100702.

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