Numerical design of gradient-index beam shapers

W. Minster Kunkel, James R Leger

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

1 Scopus citations


Design methods are illustrated to produce beam shaping elements in which the refractive index is a continuous function of position. An index profile yielding a desired gradual transformation of the field can be computed in two ways. A ray theory approach yields a solution consistent with the eikonal equation, while diffraction effects can be incorporated into the index profile by using a split step representation of the medium and performing a series of phase retrieval calculations. The methods are demonstrated in an example of mode conversion and coherent laser beam combining, where a near-unity conversion efficiency can theoretically be achieved.

Original languageEnglish (US)
Title of host publicationLaser Resonators, Microresonators, and Beam Control XIX 2017
EditorsAlan H. Paxton, Vladimir S. Ilchenko, Alexis V. Kudryashov
ISBN (Electronic)9781510606210
StatePublished - Jan 1 2017
EventLaser Resonators, Microresonators, and Beam Control XIX 2017 - San Francisco, United States
Duration: Jan 30 2017Feb 2 2017

Publication series

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


ConferenceLaser Resonators, Microresonators, and Beam Control XIX 2017
Country/TerritoryUnited States
CitySan Francisco


  • Beam shaping
  • Coherent beam combining
  • GRIN
  • Phase retrieval


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