$k$ $k$ (attenuating EM wave)

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Jul 24, 2020, 6:28:07 PM

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Jun 3, 2016, 8:45:11 PM

k = ω \sqrt{\frac{ε \cdot μ}{2}} {[\sqrt{1 + (\frac{σ}{ε \cdot ω})} + 1]}^{\frac{1}{2}}

$k = omega sqrt(( epsilon * mu )/2) [sqrt(1 + ( sigma /( epsilon * omega ) ) ) +1]^(1/2)$

ε

$epsilon$

σ

$sigma$

μ

$mu$

ω

$omega$

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10dda98f-29cc-11e6-9770-bc764e2038f2

This equation describes the real portion ( $k$ $k$ ) of the complex wavenumber¹ ( $\tilde{k}$ $tilde k$ ) of an electromagnetic wave in a conducting medium. $k$ $k$ is a spatial angular frequency, normally given the units of rad/m. vCalc doesn't currently have any other unit options for angular spatial frequency, but feel free to request them using the "contact us" button at the bottom.

For more information on $\tilde{k}$ $tilde k$ and how it's use, please refer to EM waves (attenuating) in a conductor.

^ Griffiths, David J. "Electromagnetic Waves in Matter." Introduction to Electrodynamics. 4th ed. N.p.: Prentice Hall, 2013. 413. Print.

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kkk (attenuating EM wave)

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