An Extension Of The Luneberg-Type Lenses

Abstract

The spherical lens first investigated by Luneberg (Mathematical Theory of Optics, Brown Univ. Lecture Notes, Providence, 1944), for which scanning throughout space without distortion is possible, was generalized to permit the source to lie within the lens, thereby reducing the size of the path followed by the source in scanning. This, and other shperical lenses with complete spherical symmetry that simulate line sources and infinte plane reflectors, appear as special cases of an extension of the class of circularly symmetric circular lenses due to Luneberg. Generally, a point source located within or on the boundary of a circular lens with variable index of refraction appears either as a virtual point source located at an arbitrary point within the lens or as a source whose energy is perfectly collimated in an arbitrary direction.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 16, 1953
Accession Number
AD0002564

Entities

People

  • J. E. Eaton

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Calculus Of Variations
  • Coordinate Systems
  • Dielectrics
  • Differential Equations
  • Equations
  • Geometric Forms
  • Geometry
  • Integral Equations
  • Integrals
  • Lines (Geometry)
  • Materials
  • Military Research
  • Orientation (Direction)
  • Quadrants
  • Refraction
  • Refractive Index
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Optical Physics and Photonics.

Technology Areas

  • Space
  • Space - Space Objects