Buchdahl H.A. An Introduction to Hamiltonian Optics

At the University Press, Cambridge, UK, 1970. – 373 p. – ISBN: 0486675971, 0521075165Excellent study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Important for design of laser cavities, electron optics, crystal physics, other areas. Author deals in logical progression with many classes of optical systems, defined in terms of the symmetries they possess.Characteristic functions
Symmetries and regularity
The symmetric system (part I)
The symmetric system (part II)
Symmetric systems with additional symmetries
The semi-symmetric system
Systems with translational symmetry, and plane-symmetric systems
Systems with toroidal symmetry
Chromatic defects of the image
Anisotropy
The computation of aberration coefficients