Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-23T04:03:54.666Z Has data issue: false hasContentIssue false

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • 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
×

Save book to Dropbox

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 Dropbox.

  • 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
×

Save book to Google Drive

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
×