On the impossibility of the double focus in combined electric and magnetic fields which are homogeneous in Euler’ terms

T13N1

A.S. Berdnikov, I.A. Averin

The usage of electric and magnetic fields which are homogeneous in Euler’ terms can be a good basis for the designing of static mass-spectrometers that can operate in a spectrographic mode and enable to measure mass spectra with a wide mass range through one act of measurement. The paper proves mathematically strictly that when the homogeneous in Euler’ terms combined electric and magnetic fields are used to design a single-cascade mass-spectrometer, the double focus mode along the whole focal line cannot be achieved. As a result it is proved that the usage of mass spectrographic schemes where the electric cascade and the magnetic cascade are separated is an inevitable solution when somebody tries to create a mass spectrograph with high analytical characteristics.

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