Foundations of Charged Particle Optics

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TU Dresden | Winter semester 2025 / 2026 Foundations of Charged Particle Optics

The aim of this course is to get familiar with the basics of charge particle optics, thereby laying the foundations of modern applications. Special emphasis will be put on the theoretical foundations of charge particle optics within the modern, geometrical approach to classical mechanics. The following topics will be covered: electric and magnetic fields in charge particle optics, Hamiltonian equations of motion, Hamiltonian flows in phase space, paraxial approximation, and canonical perturbation theory yielding aberrations. The different topics will be discussed at fundamental optical elements such as round lenses, multipoles and sector magnets. We finally treat complex modern instruments such as energy filter, aberration correctors and electron microscopes. A hand-on course on modern electron microscopes is optional. Please enroll into this course for participating the lecture.

Time and Location: Thu 16.40-18.10 (6. DS), REC/C118/U

 

The aim of this course is to get familiar with the basics of charge particle optics, thereby laying the foundations of modern applications. Special emphasis will be put on the formulation of charge particle optics within the framework of the modern, geometrical approach to mechanics (i.e., employing symplectic forms and morphisms, Hamiltonian fluxes, etc.). The following topics will be covered: electric and magnetic fields in charge particle optics, Hamiltonian equations of motion, paraxial approximation, aberrations, ray tracing, wave optics, basic CPO elements (round lens, quadrupole, sector magnetic), modern applications.

 

Thu 16.40-18.10 (6. DS), REC/C118/U

 

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