Order doubling in the determination of characteristic functions

G. W. Forbes*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)


    The mathematical process of combining the known characteristic functions of a number of optical systems to obtain the characteristic function of the system created by adjoining these component systems permits a significant simplification: If the intermediate variables are solved as power series to a given order in the external variables, then it is possible to determine the power series for the resulting characteristic function to at least twice this order. This doubling of order is shown to be a direct result of the extremal property of the rays. By way of illustration, the point characteristic of a refracting plane is determined explicitly as a power series accurate to within terms of degree 16.

    Original languageEnglish
    Pages (from-to)1097-1099
    Number of pages3
    JournalJournal of the Optical Society of America
    Issue number8
    Publication statusPublished - Aug 1982


    Dive into the research topics of 'Order doubling in the determination of characteristic functions'. Together they form a unique fingerprint.

    Cite this