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

Julia Wetherill, Richard Lepkowicz, Ramzi Zahreddine, Mark A Neifeld

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

1 Citation (Scopus)

Abstract

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: UV through LWIR
PublisherSPIE
Volume9822
ISBN (Electronic)9781510600638
DOIs
StatePublished - 2016
EventAdvanced Optics for Defense Applications: UV through LWIR - Baltimore, United States
Duration: Apr 17 2016Apr 19 2016

Other

OtherAdvanced Optics for Defense Applications: UV through LWIR
CountryUnited States
CityBaltimore
Period4/17/164/19/16

Fingerprint

Lens Design
lens design
relay
Relay
Optics
flat surfaces
Lenses
Imaging
optics
Imaging techniques
Focal plane arrays
Lens
Image quality
Gradient index optics
Fiber Bundle
Focal Plane
Image Quality
lenses
focal plane devices
Sampling

Keywords

  • 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
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

Wetherill, J., Lepkowicz, R., Zahreddine, R., & Neifeld, M. A. (2016). Transformation optics relay lens design for imaging from a curved to a flat surface. In Advanced Optics for Defense Applications: UV through LWIR (Vol. 9822). SPIE. https://doi.org/10.1117/12.2228123

Transformation optics relay lens design for imaging from a curved to a flat surface. / Wetherill, Julia; Lepkowicz, Richard; Zahreddine, Ramzi; Neifeld, Mark A.

Advanced Optics for Defense Applications: UV through LWIR. Vol. 9822 SPIE, 2016.

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

Wetherill, J, Lepkowicz, R, Zahreddine, R & Neifeld, MA 2016, Transformation optics relay lens design for imaging from a curved to a flat surface. in Advanced Optics for Defense Applications: UV through LWIR. vol. 9822, SPIE, Advanced Optics for Defense Applications: UV through LWIR, Baltimore, United States, 4/17/16. https://doi.org/10.1117/12.2228123
Wetherill J, Lepkowicz R, Zahreddine R, Neifeld MA. Transformation optics relay lens design for imaging from a curved to a flat surface. In Advanced Optics for Defense Applications: UV through LWIR. Vol. 9822. SPIE. 2016 https://doi.org/10.1117/12.2228123
Wetherill, Julia ; Lepkowicz, Richard ; Zahreddine, Ramzi ; Neifeld, Mark A. / Transformation optics relay lens design for imaging from a curved to a flat surface. Advanced Optics for Defense Applications: UV through LWIR. Vol. 9822 SPIE, 2016.
@inproceedings{447e9070b1e64ff3b4ed8d21968614db,
title = "Transformation optics relay lens design for imaging from a curved to a flat surface",
abstract = "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.",
keywords = "Maxwell's fish-eye, Monocentric lens, Quasi-conformal transformation optics",
author = "Julia Wetherill and Richard Lepkowicz and Ramzi Zahreddine and Neifeld, {Mark A}",
year = "2016",
doi = "10.1117/12.2228123",
language = "English (US)",
volume = "9822",
booktitle = "Advanced Optics for Defense Applications: UV through LWIR",
publisher = "SPIE",
address = "United States",

}

TY - GEN

T1 - Transformation optics relay lens design for imaging from a curved to a flat surface

AU - Wetherill, Julia

AU - Lepkowicz, Richard

AU - Zahreddine, Ramzi

AU - Neifeld, Mark A

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Maxwell's fish-eye

KW - Monocentric lens

KW - Quasi-conformal transformation optics

UR - http://www.scopus.com/inward/record.url?scp=84984706073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984706073&partnerID=8YFLogxK

U2 - 10.1117/12.2228123

DO - 10.1117/12.2228123

M3 - Conference contribution

AN - SCOPUS:84984706073

VL - 9822

BT - Advanced Optics for Defense Applications: UV through LWIR

PB - SPIE

ER -