Concatenation of symmetric systems in Hamiltonian optics

G. W. Forbes*, Mark Andrews

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    The calculation of restricted characteristic functions of symmetric optical systems is investigated using the process of concatenation. The characteristic functions under consideration take the form of a power series in the rotation invariants. A new set of variables (replacing the intermediate rotation invariants) is introduced, which permits the problem to be expressed in a form that has become familiar from the study of the concatenation of systems without symmetries. An appropriate general formalism is developed and implemented in a FORTRAN program that enables the characteristic functions of systems composed of simple subsystems (whose charactertistic functions may be determined directly) to be calculated to arbitrary orders.

    Original languageEnglish
    Pages (from-to)776-781
    Number of pages6
    JournalJournal of the Optical Society of America
    Issue number6
    Publication statusPublished - Jun 1983


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