THE ELECTRON OPTICS OF ELECTROSTATIC SCCELERATORS IN THE RELATIVISTIC RANGE

Journal Article · Wed Nov 01 04:00:00 EST 1961 · Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,

OSTI ID:4800877

Kessler, J

The properties of electrostatic lenses for relativistic particles are described by means of transfer matrices. Using Gans' polygon-method, the matrices are calculated by integrating the equation of motion of relativistic particles in electric fields that have rotational symmetry. These general results are used for calculating the firstorder approximations of the characteristic data for twocylinder lenses. Numerical evaluation shows that the lens properties at a fixed V/sub 2/V/sup 1/ vary only slowly with increasing energy V/sub 1/ and V/sub 2/ being the potentials of the lens). The results are compared with those calculated by Timm for the nonrelativistic case, which can be seen in our results as a special case. The easiest way of applying the derived formulas to the case of multistage accelerator tubes is discussed. (auth)

• Research Organization: Technische Hochschule, Karlsruhe, Ger.
• NSA Number: NSA-16-012593
• OSTI ID: 4800877
• Journal Information: Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,, Journal Name: Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys., Vol. Vol: 16a; ISSN ZNTFA
• Country of Publication: Country unknown/Code not available
• Language: German

Related Subjects

COCKCROFT-WALTON ACCELERATORS
CONFIGURATION
CYLINDERS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRIC POTENTIAL
ELECTRON BEAMS
ENERGY
INTEGRALS
LENSES
MATHEMATICS
MATRICES
MOTION
NUMERICALS
OPTICAL SYSTEMS
PHYSICS
RELATIVITY THEORY
TUBES
VAN DE GRAAFF ACCELERATORS
VARIATIONS