Loading [MathJax]/extensions/mml2jax.js
Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Physics LibreTexts

Search

  • Filter Results
  • Location
  • Classification
    • Article type
    • Author
    • Embed Hypothes.is?
    • Embebbed CalcPlot3D?
    • Cover Page
    • License
    • Show TOC
    • Transcluded
    • OER program or Publisher
    • Student Analytics
    • Autonumber Section Headings
    • License Version
    • Print CSS
      • Screen CSS
      • PrintOptions
    • Include attachments
    Searching in
    About 1 results
    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/03%3A_Wave_Propagation_in_General_Media/3.04%3A_Complex_Permittivity
      \[\begin{align} \widetilde{\bf D} &= a_0\widetilde{\bf E} + a_1\left(j\omega\right)\widetilde{\bf E} + a_2\left(j\omega\right)^2\widetilde{\bf E} + a_3\left(j\omega\right)^3\widetilde{\bf E} + ... \no...\[\begin{align} \widetilde{\bf D} &= a_0\widetilde{\bf E} + a_1\left(j\omega\right)\widetilde{\bf E} + a_2\left(j\omega\right)^2\widetilde{\bf E} + a_3\left(j\omega\right)^3\widetilde{\bf E} + ... \nonumber \\ &= a_0\widetilde{\bf E} + j\omega a_1\widetilde{\bf E} - \omega^2 a_2\widetilde{\bf E} - j\omega^3 a_3\widetilde{\bf E} + ... \nonumber \\ &= \left(a_0 + j\omega a_1 - \omega^2 a_2 - j\omega^3 a_3 + ... \right) \widetilde{\bf E} \end{align} \nonumber \]

    Support Center

    How can we help?