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7 - Nonuniform GRIN Media

Published online by Cambridge University Press:  27 July 2023

Govind P. Agrawal
Govind P. Agrawal
Affiliation:
University of Rochester, New York
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Summary

The focus of this chapter is on longitudinal variations of the refractive index and how such variations affect the propagation of light inside a GRIN medium. Section 7.1 describes the ray-optics and wave-optics techniques that can be used for this purpose. Section 7.2 focuses on tapered GRIN fibers and describes the impact of tapering on the periodic self-imaging for a few different tapering profiles. The analogy between a GRIN medium and a harmonic oscillator is exploited in Section 7.3 by employing several quantum-physics techniques for solving the GRIN problem. Section 7.4 is devoted to the case of periodic variations in the refractive index that are induced by changing the core’s radius of a GRIN fiber along its length in a periodic fashion.

Keywords

Graded-index fibersrefractive indextapered waveguidesself-imagingadiabatic approximationABCD matrixquantum harmonic oscillatorgeometrical phasesqueezingparametric amplification
Type
Chapter
Information
Physics and Engineering of Graded-Index Media , pp. 214 - 240
Publisher: Cambridge University Press
Print publication year: 2023

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  • Nonuniform GRIN Media
  • Govind P. Agrawal, University of Rochester, New York
  • Book: Physics and Engineering of Graded-Index Media
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781009282086.008
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  • Nonuniform GRIN Media
  • Govind P. Agrawal, University of Rochester, New York
  • Book: Physics and Engineering of Graded-Index Media
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781009282086.008
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Nonuniform GRIN Media
  • Govind P. Agrawal, University of Rochester, New York
  • Book: Physics and Engineering of Graded-Index Media
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781009282086.008
Available formats
×