- #1

Squires

- 16

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I've derived a formula for an electromagnetic wave entering a material, as [itex]\underline{E}[/itex]e[itex]^{-\frac{x}{\delta}}[/itex]e[itex]^{i(\frac{x}{\delta}- \omega t)}[/itex]

x=direction of propagation

t=time

[itex]\delta[/itex]=skin depth

As you can see this describes the wave propagating into the x direction, but also decaying.

My question asks to relate this decay inside a metal to the appearance of the metal surface, when the metal is smooth.

My attempt at this solution is that the decay will be greater, as the skin depth is larger.

Then the skin depth increases as the conductivity of the material decreases.

But then I'm stumped. I looked online for things such as, are higher conducting materials shinier than lower conducting materials? Or is this just too vague of an approach would you think? And is it even correct?