Towards a Design of Magnetic Spectrometers

The paper proposes the use of axially asymmetric magnetic fields in the design of magnetic spectrometers, which improve their performance, namely energy resolution and luminosity. The proposed mathematical model includes the geometry of both particle trajectory in the phase space and devices forming the particle ensemble. The compression-tension class of geometric transformations is determined herein, which maintain the focusing and dispersive properties of the magnetic field of the energy analyzer of the magnetic spectrometer. It is shown that the particle focusing and their energy dispersion can be improved by using the asymmetric fields. The use of elliptical current circuits in the design of the energy analyzer of the magnetic spectrometer is proposed to create the magnetic field with improved characteristics. The proposed theory will make it possible to design magnetic spectrometers with a diverse configuration of axially asymmetric magnetic field, providing the higher energy resolution and luminosity.