- #1

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Show that the ratio of decay length to wavelength is roughly Re(e)/Im(e)

when the decay length is long compared to the wavelength.

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I could attempt this if I knew where to start... not much help, but could anyone offer a hint?

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- Thread starter mathman44
- Start date

- #1

- 207

- 0

Show that the ratio of decay length to wavelength is roughly Re(e)/Im(e)

when the decay length is long compared to the wavelength.

---

I could attempt this if I knew where to start... not much help, but could anyone offer a hint?

- #2

ehild

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The refractive index is N=√(ε/ε

ehild

- #3

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[tex]E=A\exp{(kr-wt)}[/tex]

I'm just not seeing how to proceed from here.

- #4

ehild

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How is related k to the wavelength? The wavelength in the medium to the refractive index? The refractive index to epsilon?

ehild

ehild

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- #5

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But of course epsilon has real and complex parts...

The ratio of the wavelength to the decay length is lambda / (1/imaginary part of k) :S

- #6

ehild

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Do you know the imaginary part of k?

ehild

ehild

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