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2 - Wave Propagation

Published online by Cambridge University Press:  27 July 2023

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

Propagation of electromagnetic waves inside a GRIN medium is studied in this chapter. Section 2.1 starts with Maxwell’s equations and uses them to derive a wave equation in the frequency domain. A mode based technique is used in Section 2.2 for solving the wave equation for a GRIN device fabricated with a parabolic index profile. The properties of both the Hermite’Gauss and the Laguerre-Gauss modes are discussed. Section 2.3 is devoted to other power-law index profiles and employs the Wentzel-Kramers Brillouin method to discuss the properties of modes supported by them. We discuss in Section 2.4 the relative efficiency with which different modes are excited by an optical beam incident on a GRIN medium. The intermodal dispersive effects that become important for pulsed beams are also covered. Section 2.5 describes several non-modal techniques that can be used for studying wave propagation in GRIN media.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Wave Propagation
  • 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/10.1017/9781009282086.003
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  • Wave Propagation
  • 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/10.1017/9781009282086.003
Available formats
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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.

  • Wave Propagation
  • 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/10.1017/9781009282086.003
Available formats
×