© 2012

Geometrical Charged-Particle Optics


  • Provides a unique theoretical treatment of charged-particle optics

  • Displays novel unpublished results on several topics

  • Provides insight into the properties of charged-particle devices

  • Treats wave optical properties of the electron

  • Presents the resolution limit of electron microscopes and novel theoretical treatment of the Stern-Gerlach effect


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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Harald Rose
    Pages 1-3
  3. Harald Rose
    Pages 5-43
  4. Harald Rose
    Pages 89-188
  5. Harald Rose
    Pages 189-222
  6. Harald Rose
    Pages 223-249
  7. Harald Rose
    Pages 251-280
  8. Harald Rose
    Pages 281-332
  9. Harald Rose
    Pages 333-385
  10. Harald Rose
    Pages 387-412
  11. Harald Rose
    Pages 413-423
  12. Harald Rose
    Pages 425-428
  13. Harald Rose
    Pages 429-442
  14. Harald Rose
    Pages 477-487
  15. Back Matter
    Pages 489-507

About this book


This second edition is an extended version of the first edition of Geometrical Charged-Particle Optics. The updated reference monograph is intended as a guide for researchers and graduate students who are seeking a comprehensive treatment of the design of instruments and beam-guiding systems of charged particles and their propagation in electromagnetic fields. Wave aspects are included in this edition for explaining electron holography, the Aharanov-Bohm effect and the resolution of electron microscopes limited by diffraction. Several methods for calculating the electromagnetic field are presented and procedures are outlined for calculating the properties of systems with arbitrarily curved axis. Detailed methods are presented for designing and optimizing special components such as aberration correctors, spectrometers, energy filters monochromators, ion traps, electron mirrors and cathode lenses. In particular, the optics of rotationally symmetric lenses, quadrupoles, and systems composed of these elements are discussed extensively. Beam properties such as emittance, brightness, transmissivity and the formation of caustics are outlined. Relativistic motion and spin precession of the electron are treated in a covariant way by introducing the Lorentz-invariant universal time and by extending Hamilton’s principle from three to four spatial dimensions where the laboratory time is considered as the fourth pseudo-spatial coordinate. Using this procedure and introducing the self action of the electron, its accompanying electromagnetic field and its radiation field are calculated for arbitrary motion. In addition, the Stern-Gerlach effect is revisited for atomic and free electrons.


Aberration Correction Aharanov-Bohm Effect Charged-particle Devices Focusing of Charged Particles Magnetic Lenses Radiation Field of Moving Electrons Relativistic Electron Motion Resolution Limit of Electron Microscopes Stern-Gerlach Effect Wave Optical Properties of the Electron

Authors and affiliations

  1. 1.Institut für Angewandte PhysikTU DarmstadtDarmstadtGermany

Bibliographic information

Industry Sectors
Energy, Utilities & Environment