161 lines
3.5 KiB
Plaintext
161 lines
3.5 KiB
Plaintext
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\pdf_title "Sähköpajan päiväkirja"
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\pdf_author "Marek Nečada"
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\end_header
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\begin_body
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\begin_layout Title
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Important note about the T-matrices obtained by scuff-tmatrix
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\end_layout
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\begin_layout Standard
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From what I managed to dig from the scuff-em documentation (and partially
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source code, but with less reliability), the spherical waves used in scuff-em
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are (at least in magnitude)
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\series bold
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power-normalised
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\series default
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.
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\end_layout
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\begin_layout Standard
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However, the vector spherical harmonics have an additional factor of
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\begin_inset Formula $i$
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\end_inset
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compared to Kristensson and while Kristensson states the interrelations
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\begin_inset Formula
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\begin{eqnarray*}
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\nabla\times v_{1lm}(kr) & = & kv_{2lm}(kr),\\
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\nabla\times v_{2lm}(kr) & = & kv_{1lm}(kr),
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\end{eqnarray*}
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\end_inset
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Reid has
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\begin_inset Formula
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\[
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N_{lm}=-\frac{1}{ik}\nabla\times M_{lm},
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\]
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\end_inset
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in other words
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\begin_inset Formula $\nabla\times M_{lm}=ikN_{lm}$
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\end_inset
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.
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Therefore, it is quite possible that additional
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\begin_inset Formula $i$
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\end_inset
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-factors will have to be added to the
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\begin_inset Formula $B$
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\end_inset
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coefficients.
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Moreover, it is totally unclear whether Reid uses C.-S.
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phase or not in his spherical harmonics.
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\end_layout
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\begin_layout Standard
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I will have to try all the possibilities to see how much it affects the
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results.
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If too much, one way to determine it
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\begin_inset Quotes sld
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\end_inset
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exterimentally
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\begin_inset Quotes srd
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\end_inset
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would be to try a configuration with several spheres and compare it to
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the analytical Mie + translation coefficients -based solution.
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\end_layout
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\begin_layout Standard
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According to the documentation, in the output T-matrix files, the outgoing
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(singular) spherical wave indices are in the lefter columns, while the
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incoming (regular) wave indices are on the right (and then the T-matrix
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entry follows).
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\end_layout
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\end_body
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\end_document
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