From 53404689b90ecda559e1b86e3b4952f4f70bbbb3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Marek=20Ne=C4=8Dada?= Date: Sat, 20 Jul 2019 07:03:50 +0300 Subject: [PATCH] WIP paper Former-commit-id: 201398567e90c9dd9ad1dfeeb75c874c30316250 --- lepaper/finite.lyx | 50 +++++++++++++++++++++++++++++++++++++--------- 1 file changed, 41 insertions(+), 9 deletions(-) diff --git a/lepaper/finite.lyx b/lepaper/finite.lyx index 4084ce9..4672110 100644 --- a/lepaper/finite.lyx +++ b/lepaper/finite.lyx @@ -1,7 +1,9 @@ -#LyX 2.1 created this file. For more info see http://www.lyx.org/ -\lyxformat 474 +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 \begin_document \begin_header +\save_transient_properties true +\origin unavailable \textclass article \use_default_options true \maintain_unincluded_children false @@ -9,16 +11,18 @@ \language_package default \inputencoding auto \fontencoding global -\font_roman TeX Gyre Pagella -\font_sans default -\font_typewriter default -\font_math auto +\font_roman "default" "TeX Gyre Pagella" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" \font_default_family default \use_non_tex_fonts true \font_sc false \font_osf true -\font_sf_scale 100 -\font_tt_scale 100 +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true \graphics default \default_output_format pdf4 \output_sync 0 @@ -58,6 +62,7 @@ \suppress_date false \justification true \use_refstyle 1 +\use_minted 0 \index Index \shortcut idx \color #008000 @@ -66,7 +71,10 @@ \tocdepth 3 \paragraph_separation indent \paragraph_indentation default -\quotes_language swedish +\is_math_indent 0 +\math_numbering_side default +\quotes_style swedish +\dynamic_quotes 0 \papercolumns 1 \papersides 1 \paperpagestyle default @@ -88,6 +96,10 @@ Finite systems \lang english motivation (classes of problems that this can solve: response to external radiation, resonances, ...) +\begin_inset Separator latexpar +\end_inset + + \end_layout \begin_deeper @@ -95,6 +107,10 @@ motivation (classes of problems that this can solve: response to external \lang english theory +\begin_inset Separator latexpar +\end_inset + + \end_layout \begin_deeper @@ -102,6 +118,10 @@ theory \lang english T-matrix definition, basics +\begin_inset Separator latexpar +\end_inset + + \end_layout \begin_deeper @@ -135,6 +155,17 @@ employing point group symmetries and decomposing the problem to decrease Motivation \end_layout +\begin_layout Standard +The basic idea of MSTMM is quite simple: the driving electromagnetic field + incident onto a scatterer is expanded into a vector spherical wavefunction + (VSWF) basis in which the single scattering problem is solved, and the + scattered field is then re-expanded into VSWFs centered at the other scatterers. + Repeating the same procedure with all (pairs of) scatterers yields a set + of linear equations, solution of which gives the coefficients of the scattered + field in the VSWF bases. + However, +\end_layout + \begin_layout Subsection \lang english @@ -203,6 +234,7 @@ Throughout this text, we will use the same normalisation conventions as \begin_inset CommandInset citation LatexCommand cite key "kristensson_scattering_2016" +literal "true" \end_inset