• Harald Rose
Part of the Springer Series in Optical Sciences book series (SSOS, volume 142)


The path deviations at the image plane represent the aberrations of an electron optical system. Each aberration referred back to the object plane is the product of a monomial of the ray parameters times the aberration coefficient. Integral expressions are obtained for the aberration coefficients of the primary aberrations of systems with straight and curved axes. The chromatic aberrations and the geometrical aberrations of rotationally symmetric systems and of quadrupole–octopole systems are discussed in detail. In particular, the Scherzer theorem is proven by showing that the coefficients of the axial chromatic aberration and the spherical aberration of round lenses can never change sign.


Spherical Aberration Chromatic Aberration Gaussian Image Aberration Coefficient Axial Astigmatism 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Harald Rose
    • 1
  1. 1.Institut für Angewandte PhysikTU DarmstadtDarmstadtGermany

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