Gradient-index lenses as flux concentrators

    Research output: Contribution to journalConference articlepeer-review


    While gradient-index lenses are usually analyzed in terms of image fidelity, they are also capable of high flux concentration. In the first part of this presentation, the simplest class of gradient-index problems (with spherical symmetry) is revisited. An alternative way to obtain established solutions of the refractive index profiles that produce perfect imaging is derived from the method of Fermat's strings and skewness conservation. The degree to which different classes of such spherical lenses can realize the thermodynamic limit to flux concentration is explored. An answer is also sought to the intriguing question of the extent to which the spherical gradient-index lens of the fish eye is a modified Luneburg lens optimized subject to material constraints. The second half of this presentation addresses gradient-index rod lenses. Both analytic methods and computer raytrace simulations are used for a comprehensive evaluation of their concentration and collection efficiency. They appear to be well suited as concentrators for the distal end of laser fiber-optic surgical units.

    Original languageEnglish
    Pages (from-to)88-99
    Number of pages12
    JournalProceedings of SPIE - The International Society for Optical Engineering
    StatePublished - 1 Dec 2001
    EventNonimaging Optics: Maximum Efficiency Light Transfer VI - San Diego, CA, United States
    Duration: 2 Aug 20013 Aug 2001

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics
    • Computer Science Applications
    • Applied Mathematics
    • Electrical and Electronic Engineering


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