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Rayleigh limit #36
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Original comment by |
Original comment by
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Another grand simplification is calculation for a range of the refractive index (equivalent to the spectrum of wavelengths - #35), which brings the problem to a shifted system with real symmetric original matrix. Efficient algorithms exist for that: Similar ideas can be applied to a range of refractive indices in full-wavelength case, as well. But there the original matrix is complex symmetric, which complicates the matter. But the relevant algorithms do exist (see above paper). UPD: this is more relevant for #121. |
Another idea in the framework of the Rayleigh (static) limit is the calculations of O(x^2) and O(x^3) corrections to the polarization to get the result for a small (nano-)particle. In principle, this can be done by one-two solutions of the static problems with different incident fields, based on the theory in Similarly, calculating the static response to monomials of order one or two (as incident fields), one can obtain the "non-local" contribution to the polarizability (response to field derivatives), which was described in |
This can potentially be also used for calculation of surfaces charges for complex objects, which is a first step to simulate charged particles in the DDA - see |
If such static DDA is implemented, care should be taken with respect to the use of static Green's tensor. While in most cases Im(G) can be safely neglected for sufficiently small particles, it is tightly related to the radiative correction of the polarizability. The two may become important when, for instance, the dipole source is placed inside a particle. But even then using fully static versions of both G and polarizability may lead to the correct result. |
Original issue reported on code.google.com by
yurkin
on 24 Dec 2008 at 7:10The text was updated successfully, but these errors were encountered: