Suppose we have a complex refractive index at a given frequency from experimental data (the imaginary part being responsible of loss/gain mechanisms).
If we are to use time domain electromagnetic solver (FDTD or DGTD) one way to incorporate gain/loss is through the use of the polarization equation, which expressed in the frequency domain gives a linear relation between P and E. The linear coefficient is the called the susceptibility and has the form of a second order filter with a dampening coefficient gamma.
The question is then how to choose this gamma coefficient so that we gain the same gain/loss at the resonant frequency as what we would get by using the refractive index?
Thanks very much. I will have a look if I manage to get the book.
Thanks.
That's pretty much what I was looking for except that the suceptibility in this case is frequency dependent and I want to match its parameters so that its value at a given frequency is the same as a given value of the refractive index.
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