Transformation optics relay lens design for imaging from a curved to a flat surface

Julia Wetherill, Richard Lepkowicz, Ramzi Zahreddine, Mark Neifeld

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


Monocentric lenses are excellent candidates for compact, broadband, high resolution, wide-field imaging. Traditional monocentric designs produce a curved image surface and have therefore found limited utility. The use of an appropriately machined fiber bundle to relay the curved image plane onto a flat focal plane array (FPA) has recently emerged as a potential solution. Unfortunately the spatial sampling that is intrinsic to the fiber bundle relay can have a negative effect on image resolution, and vignetting has been identified as another potential shortcoming of this solution. In this paper we describe a metamaterial optical element that avoids the deleterious effects of sampling and can provide a high-quality image relay from the curved monocentric image surface to a flat FPA. Using quasi-conformal transformation optics (TO) a classical Maxwell's "fish-eye" lens is transformed into a shape with a concave front surface and flat back surface. We quantify image quality metrics such as spot size, field of view, and light efficiency along with manufacturing cost metrics such as index contrast and anisotropy. Based on this analysis we identify and fully optimize a monocentric lens in combination with a TO-designed GRIN image relay optic.

Original languageEnglish (US)
Title of host publicationAdvanced Optics for Defense Applications
Subtitle of host publicationUV through LWIR
EditorsPeter L. Marasco, Bjorn F. Andresen, Jay N. Vizgaitis, Jasbinder S. Sanghera, Miguel P. Snyder
ISBN (Electronic)9781510600638
StatePublished - 2016
EventAdvanced Optics for Defense Applications: UV through LWIR - Baltimore, United States
Duration: Apr 17 2016Apr 19 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


OtherAdvanced Optics for Defense Applications: UV through LWIR
Country/TerritoryUnited States


  • Maxwell's fish-eye
  • Monocentric lens
  • Quasi-conformal transformation optics

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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