I am trying find the find the extinction cross section of an array of nanoparticles suspended in water. Usually, when there is a substrate present (Ex. glass), we first solve for the background electric field as the reflected wave interact with the incident wave. Similarly, when there are two nanoparticles, the background electric field for one NP should be influenced by the presence of the other NP and vise versa. Well..I am not sure if my question is legitimate. Thank you!
The word background is confusing. Naturally, close nanoparticles affect each other . The polarization of one of them in the external field depends on the polarization of the other. The induced field potential should be found solving the electrostatic poblem with the boundary conditions on both surfaces.
Thank you very much for the answers. So, If I am trying to numerically solve the Maxwell's equations for a system of two nanoparticles close to each other in vacuum and the incident EM wave is planer, should I just specify the background field with the planer wave equation? Or Should I calculate the field for single particle then use this solution when the second particle is introduced ? But then the effect of second on the first will not be taken into account.
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