Light with finite rotation - an attempt for a theoretical description

Steen Grüner Hanson

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    The metamaterial filter introduced in the form of the so-called METATOY Johannes Courtial et al., j. opt. 13 (2011))[ 1] has a series of interesting properties, although it can presently only be realized as an array of discrete elements, being it an array of Dove prisms or lens arrays. Nevertheless, a theoretical analysis of field propagation through such a twisting filter is still lacking. Based on the complex-valued ray matrix formalism (ABCD-matrices/canonical transforms), the propagation through such a filter can be mimicked by using the known Green's function (e.g. Aykut et al. Journal of the Optical Society of America a (2010) 27(9) 1896)[ 2]. This matrix for an entire system including a flipping filter is non-symplectic, which in fact indicates that this filter's perturbation is ray-optically forbidden. However, if we proceed and insert the matrix-values into this Green's function, we arrive at results that are in agreement with the previously shown examples with METATOY. It is further shown how e.g. Fourier transformation of this filter will give rise to unexpected ray transformations. Finally, a new ray-optically forbidden element is discussed, as will possible future applications.
    Original languageEnglish
    Title of host publicationProceedings of SPIE
    Number of pages9
    PublisherSPIE - International Society for Optical Engineering
    Publication date2018
    Article number108340F
    ISBN (Print)9781510622982
    Publication statusPublished - 2018
    Event7th International Conference on Speckle Metrology - Bishop’s Castle in Janow Podlaski, Janow Podlaski, Poland
    Duration: 10 Sep 201812 Sep 2018


    Conference7th International Conference on Speckle Metrology
    LocationBishop’s Castle in Janow Podlaski
    CityJanow Podlaski
    Internet address
    SeriesProceedings of SPIE - The International Society for Optical Engineering


    • Metamaterial
    • Canonical Transforms
    • Matrix Optics


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