Achromatic GRIN singlet lens design.

Gradient refractive index (GRIN) materials are attractive candidates for improved optical design, especially in compact systems. For GRIN lenses cut from spherically symmetric GRIN material, we derive an analogue of the "lens maker's" equation. Using this equation, we predict and demonstrate via ray tracing that an achromatic singlet lens can be designed, where the chromatic properties of the GRIN counterbalance those of the lens shape. Modeling the lens with realistic materials and realistic fabrication geometries, we predict we can make an achromatic singlet with a 19 mm focal length using a matrix of known polymers.

[1]  James S. Shirk,et al.  New class of bioinspired lenses with a gradient refractive index , 2007 .

[2]  P. J. Sands.  Inhomogeneous Lenses, V. Chromatic Paraxial Aberrations of Lenses with Axial or Cylindrical Index Distributions , 1971 .

[3]  A Sharma,et al.  Chromatic aberrations of radial gradient-index lenses. I. Theory. , 1996, Applied optics.

[4]  A. Hiltner,et al.  Tunable polymer lens. , 2008, Optics express.

[5]  V. I. Tarkhanov,et al.  Lens with a spherical gradient of refractive index, ideally focusing for an object at a finite distance , 2006 .

[6]  Anurag Sharma,et al.  Tracing rays through graded-index media: a new method. , 1982, Applied optics.

[7]  P. J. Sands.  Inhomogeneous lenses. II. Chromatic paraxial aberrations. , 1971, Journal of the Optical Society of America.

[8]  Florian Bociort.  Chromatic paraxial aberration coefficients for radial gradient-index lenses , 1996 .

[9]  D T Moore,et al.  Gradient-index optics: a review. , 1980, Applied optics.

[10]  Eric Baer,et al.  Novel structures by microlayer coextrusion-talc-filled PP, PC/SAN, and HDPE/LLDPE , 1997 .

[11]  G. Beadie,et al.  Effects of Diffraction and Partial Reflection in Multilayered Gradient Index Polymer Lenses , 2010 .

[12]  Paul K. Manhart,et al.  Fundamentals of macro axial gradient index optical design and engineering , 1997 .

[13]  Paul A Lane,et al.  Optical properties of a bio-inspired gradient refractive index polymer lens. , 2008, Optics express.

[14]  J M Gordon,et al.  Spherical gradient-index lenses as perfect imaging and maximum power transfer devices. , 2000, Applied optics.

[15]  G. Forbes,et al.  Differential ray tracing in inhomogeneous media , 1997 .

[16]  Duncan T. Moore,et al.  Design of Singlets with Continuously Varying Indices of Refraction , 1971 .