# Surface plasmon, Fresnel's equations

1. Apr 13, 2009

### _Andreas

I'm writing a school paper on surface plasmons (as I said in another post), and among other things, I'm supposed to deduce Fresnel's equations for p-polarized light (that is, the ratios $$\frac{E_{0r}}{E_{0i}}=\frac{a}{b}$$ and $$\frac{E_0t}{E_0i}=\frac{c}{b}$$). Now, apparently, when a surface plasmon is induced, the denominator, $$b$$, is approximately zero. I find this very odd, since it seems to imply that the amplitude of the reflected light, $$E_{0r}$$, is infinite, which woud mean that the reflected light has an infinite intensity. Could someone explain where my thinking goes wrong?