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6 - Waves in Three Dimensions

Published online by Cambridge University Press:  02 April 2020

Joel Franklin
Joel Franklin
Affiliation:
Reed College, Oregon
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Summary

An exploration of the wave equation and its solutions in three dimensions.The chapter's mathematical focus is on vector calculus, enough to understand and appreciate the harmonic functions that make up the static solutions to the wave equation.

Keywords

Vector calculusThree dimensional wavesPlane wavesDirac delta functionLaplacianHarmonic functionsDivergence theoremCurl theoremStatic solutions
Type
Chapter
Information
Mathematical Methods for Oscillations and Waves , pp. 146 - 180
Publisher: Cambridge University Press
Print publication year: 2020

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  • Waves in Three Dimensions
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.008
Available formats
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  • Waves in Three Dimensions
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.008
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.

  • Waves in Three Dimensions
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.008
Available formats
×