Numerical design of gradient-index beam shapers

W. Minster Kunkel, James R Leger

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

Abstract

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.

LanguageEnglish (US)
Title of host publicationLaser Resonators, Microresonators, and Beam Control XIX 2017
PublisherSPIE
Volume10090
ISBN (Electronic)9781510606210
DOIs
StatePublished - Jan 1 2017
EventLaser Resonators, Microresonators, and Beam Control XIX 2017 - San Francisco, United States
Duration: Jan 30 2017Feb 2 2017

Other

OtherLaser Resonators, Microresonators, and Beam Control XIX 2017
CountryUnited States
CitySan Francisco
Period1/30/172/2/17

Fingerprint

shapers
Laser modes
Conversion efficiency
Laser beams
Refractive index
Diffraction
eikonal equation
Gradient
Beam Shaping
Eikonal Equation
Phase Retrieval
gradients
profiles
Laser Beam
Refractive Index
Design Method
retrieval
Half line
unity
rays

Keywords

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

Cite this

Kunkel, W. M., & Leger, J. R. (2017). Numerical design of gradient-index beam shapers. In Laser Resonators, Microresonators, and Beam Control XIX 2017 (Vol. 10090). [100900Y] SPIE. https://doi.org/10.1117/12.2253122

Numerical design of gradient-index beam shapers. / Kunkel, W. Minster; Leger, James R.

Laser Resonators, Microresonators, and Beam Control XIX 2017. Vol. 10090 SPIE, 2017. 100900Y.

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

Kunkel, WM & Leger, JR 2017, Numerical design of gradient-index beam shapers. in Laser Resonators, Microresonators, and Beam Control XIX 2017. vol. 10090, 100900Y, SPIE, Laser Resonators, Microresonators, and Beam Control XIX 2017, San Francisco, United States, 1/30/17. https://doi.org/10.1117/12.2253122
Kunkel WM, Leger JR. Numerical design of gradient-index beam shapers. In Laser Resonators, Microresonators, and Beam Control XIX 2017. Vol. 10090. SPIE. 2017. 100900Y https://doi.org/10.1117/12.2253122
Kunkel, W. Minster ; Leger, James R. / Numerical design of gradient-index beam shapers. Laser Resonators, Microresonators, and Beam Control XIX 2017. Vol. 10090 SPIE, 2017.
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