At present, although most of the optical design processes are automated with the aid of computer software, the fundamental question of how we can generate the initial optical configuration such that it can be dealt with by the computer remains. The answer can only be found in applying techniques based on the aberration theory. Previous works have explored this subject matter. None, however, has covered the full extent of first deriving the aberration theory and then illustrating with the help of various kinds of actual examples how it can be applied effectively to practical design problems. This book is significant in its attempt to put theory into practice for the first time to provide new insight and knowledge to its readers.
Part 1 Introduction: role of the aberration theory; paraxial theory as the basis for the aberration theory; application of paraxial theory to lens design. Part 2 Derivation of the aberration theory: characteristic function of Hamilton (point eikonal); outline of the Herzberger theory. Part 3 Practical aberration theory and its formulae: transformation of the Herzberger aberration theory into practical form; normalization of aberration coefficients; aberration coefficients for a thin lens approximation; intrinsic coefficients and aberrations with characteristic matrix. Part 4 Case studies: determination of initial configuration of an optical system and the application of aberration theory; determination of configuration of a telephoto type lens; determination of a configuration in a triplet; design of a catadioptric system; invariant of Helmholtz-Lagrange; derivation of formulae of calculation of aberration coefficients for individual surface in an optical system; derivation of formulae of calculation of chromatic aberration coefficients for individual surface in an optical system 195; initial values of paraxial rays for the calculation of aberration coefficients.