I am struggling with a derivation that calculates the cross sections for Mie scattering and since the incident light is considered to be a x-polarized plane wave I thought that we would have[ tex ] I_i = \frac{1}{2} \sqrt{\frac{\epsilon}{\mu}} \vert E_0 \vert^2 [ /tex ] , but I do not understand this derivation then, since a factor [ tex ] 2 \pi [ /tex ] seems to be missing.
It starts with an expression for the scattered field, explains how they got this expression by using some orthogonality properties and then - in my opinion argue - that this [ tex ] Re(g_n)[ /tex ]. But then I do not understand what they take as the incident intensity in order to get the expression [ tex ]C_{sca} [ /tex ] Does anybody have an idea?!
It starts with an expression for the scattered field, explains how they got this expression by using some orthogonality properties and then - in my opinion argue - that this [ tex ] Re(g_n)[ /tex ]. But then I do not understand what they take as the incident intensity in order to get the expression [ tex ]C_{sca} [ /tex ] Does anybody have an idea?!