#LyX 2.0 created this file. For more info see http://www.lyx.org/ \lyxformat 413 \begin_document \begin_header \textclass report \begin_preamble %\renewcommand*{\chapterheadstartvskip}{\vspace*{1cm}} %\renewcommand*{\chapterheadendvskip}{\vspace{2cm}} \end_preamble \use_default_options true \maintain_unincluded_children false \language english \language_package default \inputencoding auto \fontencoding global \font_roman TeX Gyre Pagella \font_sans default \font_typewriter default \font_default_family default \use_non_tex_fonts true \font_sc false \font_osf true \font_sf_scale 100 \font_tt_scale 100 \graphics default \default_output_format pdf4 \output_sync 0 \bibtex_command default \index_command default \paperfontsize default \spacing single \use_hyperref true \pdf_title "Sähköpajan päiväkirja" \pdf_author "Marek Nečada" \pdf_bookmarks true \pdf_bookmarksnumbered false \pdf_bookmarksopen false \pdf_bookmarksopenlevel 1 \pdf_breaklinks false \pdf_pdfborder false \pdf_colorlinks false \pdf_backref false \pdf_pdfusetitle true \papersize a5paper \use_geometry true \use_amsmath 1 \use_esint 1 \use_mhchem 1 \use_mathdots 1 \cite_engine basic \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \use_refstyle 1 \index Index \shortcut idx \color #008000 \end_index \leftmargin 2cm \topmargin 2cm \rightmargin 2cm \bottommargin 2cm \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \quotes_language swedish \papercolumns 1 \papersides 1 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Electromagnetic multiple scattering, spherical waves and shit \end_layout \begin_layout Author Marek Nečada \end_layout \begin_layout Chapter Zillion conventions for spherical vector waves \end_layout \begin_layout Section Legendre polynomials and spherical harmonics: messy from the very beginning \end_layout \begin_layout Section Pi and tau (?), spherical Bessel functions \end_layout \begin_layout Section Vector spherical harmonics (?) \end_layout \begin_layout Section All the conventions \end_layout \begin_layout Standard \begin_inset Formula $M,N,\psi,\chi,\widetilde{M},\widetilde{N},u,v,w,\dots$ \end_inset , sine/cosine convention (B&H), ... \end_layout \begin_layout Section Plane wave expansion \end_layout \begin_layout Section Radiated energy \end_layout \begin_layout Section Limit solutions \end_layout \begin_layout Subsection Far-field asymptotic solution \end_layout \begin_layout Standard TODO start from \begin_inset CommandInset citation LatexCommand cite after "(A7)" key "pustovit_plasmon-mediated_2010" \end_inset \end_layout \begin_layout Subsection Near field limit \end_layout \begin_layout Chapter Mie Theory \end_layout \begin_layout Section Full version \end_layout \begin_layout Section Long wave approximation \end_layout \begin_layout Standard TODO start from \begin_inset CommandInset citation LatexCommand cite after "(A11)" key "pustovit_plasmon-mediated_2010" \end_inset and around. \end_layout \begin_layout Chapter Green's functions \end_layout \begin_layout Section xyz pure free-space dipole waves in terms of SVWF \end_layout \begin_layout Section Mie decomposition of Green's function for single nanoparticle \end_layout \begin_layout Chapter Translation of spherical waves: shit gets insane \end_layout \begin_layout Chapter Multiple scattering: nice linear algebra born from all the shit \end_layout \begin_layout Standard \begin_inset CommandInset bibtex LatexCommand bibtex bibfiles "dipdip" options "plain" \end_inset \end_layout \end_body \end_document