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A particle bunch with position variance gets focused in a magnetic field. In reality, the beam will not get focused to a point, but keeps a finite spot size due to divergence.
Weak focusing occurs in particle accelerators when charged particles are passing through uniform magnetic fields, causing them to move in circular paths due to the Lorentz force. Because of the circular movement, the orbits of two particles with slightly different positions may approximate or even cross each other.
Because a particle beam has a finite emittance, this effect was used in cyclotrons and early synchrotrons to prevent the growth of deviations from the desired particle orbit. Due to its definition, it also occurs in the dipole magnets of modern accelerator facilities and must be considered in beam optics calculations. In modern facilities, most of the beam focusing is usually done by quadrupole magnets, using Strong focusing to enable smaller beam sizes and vacuum chambers, thus reducing the average magnet size.
Weakfocusing occurs in particle accelerators when charged particles are passing through uniform magnetic fields, causing them to move in circular paths...
In accelerator physics strong focusing or alternating-gradient focusing is the principle that, using sets of multiple electromagnets, it is possible to...
The Bevatron was a particle accelerator — specifically, a weak-focusing proton synchrotron — at Lawrence Berkeley National Laboratory, U.S., which began...
The Zero Gradient Synchrotron (ZGS), was a weakfocusing 12.5 GeV proton accelerator that operated at the Argonne National Laboratory in Illinois from...
built for the same cost as a 10 GeV accelerator using weakfocusing. However, the stronger focusing the higher a precision of alignment of magnets required...
differing sizes. Isoelectric focusing can resolve proteins that differ in pI value by as little as 0.01. Isoelectric focusing is the first step in two-dimensional...
{\displaystyle 1/r^{2}} falloff for weak shock or acoustic waves, as expected at large distances). Atmospheric focusing from supersonic booms is a modern...
Weak artificial intelligence (weak AI) is artificial intelligence that implements a limited part of the mind, or, as narrow AI, is focused on one narrow...
A weak base is a base that, upon dissolution in water, does not dissociate completely, so that the resulting aqueous solution contains only a small proportion...
Weak Hero Class 1 (Korean: 약한영웅 Class 1) is a South Korean web series starring Park Ji-hoon, Choi Hyun-wook, and Hong Kyung. It is based on the Naver webtoon...
approximation, with a non-constant focusing force k ( s ) {\displaystyle k(s)} , including strong focusing and weakfocusing effects the relative deviation...
subsidiary information (Devine and Stephens use the terms "nuclear focus" and "weakfocus" for this): nostrī celeriter arma cēpērunt. "Our men quickly took...
Weak and strong sustainability are terms that have emerged from the field of environmental economics and describe opposing approaches to sustainability...
comparatively rare, however. Dipole magnets alone only provide what is called weakfocusing, and a storage ring composed of only these sorts of magnetic elements...
Weak supervision is a paradigm in machine learning, the relevance and notability of which increased with the advent of large language models due to large...
friends and family). By not going further in the strong ties, but focusing on the weak ties, Granovetter highlights the importance of acquaintances in social...
subdivided into two perspectives, that of "weak emergence" and "strong emergence". One paper discussing this division is Weak Emergence, by philosopher Mark Bedau...
that extends the base system can be weaker than S while still proving T. Most reverse mathematics research focuses on subsystems of second-order arithmetic...
energy machine in the UK at the time to be superseded by the 7 GeV weakfocusing synchrotron(Nimrod) in 1963/1964 at the Rutherford Appleton Laboratory...
but failed to find a focusing effect because the apparatus was smaller than the wavelength. In 1894 Lodge successfully focused 4 GHz (7.5 cm) microwaves...
principles can be divided into "weak" and "strong" forms, depending on the types of cosmological claims they entail. The weak anthropic principle (WAP), as...
are four fundamental interactions known to exist: gravity electromagnetism weak interaction strong interaction The gravitational and electromagnetic interactions...
Airy disks caused by diffraction around an intensity peak, improving the focus. The term apodization is used frequently in publications on Fourier-transform...
gravitational lensing. Most lines of sight in the universe are thoroughly in the weak lensing regime, in which the deflection is impossible to detect in a single...
good). A situation is weak Pareto-efficient if it has no strong Pareto improvements. Any strong Pareto improvement is also a weak Pareto improvement. The...
Arab genealogy. The more rationalist school of Basra, on the other hand, focused more on the formal study of grammar. For classical Arabic grammarians,...
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