Static mass analyzers offer a unique potential opportunity to achieve 100% utilization of ions generated by a continuously operating ion source. However, to achieve this, it is necessary for the mass analyzer to operate in the spectrographic mode rather than in the spectrometric mode. It is known that the conventional Mattauch–Herzog scheme may operate in the spectrographic mode with double focusing (by both angle and energy) along the straight focal line but only in the first order. The usage of more complex optical solutions is prevented by the fringing fields of static magnets, which destroy the exact spectrographic mode of the instrument operation. It is shown in the presented study that by using the principle of the similarity of trajectories in Euler-homogeneous fields one can purposefully synthesize asymmetric fringing magnetic fields of a particular type, which keep the spectrographic mode and the straightness of the focus line for static mass analyzers. Such fringing fields and the corresponding fringing configurations of magnetic poles and screens can become a basis for static mass spectrographs of a new type with high optical characteristics.
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