Light with finite rotation - an attempt for a theoretical description

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

185 Downloads (Pure)


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 S P I E - International Society for Optical Engineering


  • Metamaterial
  • Canonical Transforms
  • Matrix Optics

Fingerprint Dive into the research topics of 'Light with finite rotation - an attempt for a theoretical description'. Together they form a unique fingerprint.

Cite this