An Introduction to Beam Physics by Martin Berz, Kyoko Makino, Weishi Wan

By Martin Berz, Kyoko Makino, Weishi Wan

"An creation to Beam Physics covers the rules and purposes of differential algebra, a robust new mathematical instrument. The authors speak about the makes use of for the computation of move maps for all types of particle accelerators or any weakly nonlinear dynamical procedure, corresponding to planetary orbits. The e-book is of curiosity to graduate scholars and researchers operating in a huge variety of disciplines, including

"Preface it's been eight years due to the fact that we began this booklet undertaking, which originated from the lecture notice of a graduate point direction taught through my coauthors at Michigan country college. in comparison to the lecture word, the current ebook is greater than two times as lengthy, that's the results of a number of contributing components. the most obvious cause is the requirement e-book needs to be extra self contained than a lecture be aware. The extra vital cause is that, over the last decade, the sphere observed major improvement in a number of parts and new fabrics were further to mirror the switch. a number of examples are an summary of the improvement of aberration-corrected electron microscopes and the remedy of the chicane bunch compressor. The final cause is extra pesonal in nature. over the last a long time, the sector of beam physics became so assorted that every sector has constructed it really is personal approach of treating the matter and communications between diversified parts were challenging. it has been our trust that smooth map process is an effective instrument to reunite this divese box and that this booklet bargains the easiest platform to gain this aim. On one hand, we conceal as generally as attainable the themes in several parts of the sphere of beam physics, starting from electron telescopes, spectrometers to particle accelerators. nonetheless, we strive to provide commonly extra complex subject matters, corresponding to the resonances in round accelerators, in an introductroy ebook utilizing glossy map strategy, consequently warding off the stylish yet extra concerned Hamiltonian formalism. the result's a e-book that calls for no previous wisdom of beam physics and in simple terms easy realizing of faculty point classical machenics, calculus and usual differential equations"-- Read more...


Covers the foundations and functions of differential algebra, a strong mathematical device. This paintings discusses the makes use of for the computation of move maps for varied varieties of particle Read more...

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Extra resources for An Introduction to Beam Physics

Example text

2. 4. An interesting combination of the need for bunching, accelerating and focusing (which is discussed later in detail) is the radio frequency quadrupole (RFQ) accelerator. Developed in the late 1960s in the former Soviet Union, RFQs have been widely adopted as injectors for proton and ion accelerators. Fig. 14 shows the structure of a RFQ accelerator. The four vanes break the rotational symmetry and produce an electrostatic quadrupole field that oscillates with time. The traveling particles feel the quadrupole field that changes polarity with time and are focused in both transverse planes.

From L. W. Jones and K. M. Terwilliger, in E. , Proc. CERN Symp. High Energy Accelerators and Pion Physics, CERN 56-25, 1956 [34]. ) If continuity of the beam is not of prime importance, it is possible to make the necessary relativistic corrections due to eq. 11) via a decrease of the RF frequency during the acceleration process, which is done in the case of the synchrocyclotron. This decrease obviously has to happen very quickly over the few hundred turns of the particles while staying within the accelerating structure, and thus the pulse frequency can still be rather high.

In the following section, we will make a short excursion to a field that at first glance appears disconnected from beam physics, namely the field of glass optics. However, a closer look shows that glass optics, which has existed long before the name beam physics was introduced, certainly belongs to this field: the ensembles of light particles or rays typically associated with questions of glass optics form a beam not only in the conventional meaning of the word, but also under the more formal definition.

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