# Magnetic lens

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A subtype of a magnetic lens (quadrupole magnet) in the Maier-Leibnitz laboratory, Munich

A magnetic lens is a device for the focusing or deflection of moving charged particles, such as electrons or ions, by use of the magnetic Lorentz force. Its strength can often be varied by usage of electromagnets.

Magnetic lenses are used in diverse applications, from cathode ray tubes over electron microscopy to particle accelerators.

## Design

A magnetic lens typically consists of several electromagnets arranged in a quadrupole (see quadrupole magnet), sextupole, or higher format; the electromagnetic coils are placed at the vertices of a square or another regular polygon. From this configuration a customized magnetic field can be formed to manipulate the particle beam.

The passing particle is subjected to two vector forces ${\displaystyle H_{Z}}$ (parallel to the core), and ${\displaystyle H_{R}}$ (parallel to the radius of the lens). ${\displaystyle H_{R}}$ causes the particle to spiral through the lens, and this spiraling expose the electron to ${\displaystyle H_{Z}}$ which in turn focus the electron. Note that the magnetic field is inhomogeneous, particles close to the center are less strongly deflected than those passing the lens far from the axis.[1]

## Uses

A deflection yoke (copper coils and white plastic former) around the rear neck of a cathode ray tube television
View inside the yoke, with the tube removed

Television sets employing cathode ray tubes use a magnetic lens in the form of a deflection yoke to enable an electron beam to scan the image by deflecting it vertically and horizontally.

## Notes

1. ^ Hafner B., 2008, Introductory Transmission Electron Microscopy Primer, Characterization Facility, University of Minnesota - "Reference"

## References

• Egerton, R. F. (1996). Electron energy-loss spectroscopy in the electron microscope (2nd ed.). Springer Verlag. ISBN 9780306452239.
• John M. Rodenburg (2–5 September 1997). "Electron microscopy and analysis 1997". Proc. Institute of Physics Electron Microscopy and Analysis Group Conf., Cavendish Laboratory. Institute of Physics.