docs: table with vswf conventions

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Marek Nečada 2019-07-08 16:01:08 +03:00
parent 044dd9bdd7
commit 8da6e299ce
3 changed files with 58 additions and 3 deletions

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@ -682,7 +682,7 @@ LAYOUT_FILE =
# LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the # LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
# search path. See also \cite for info how to create references. # search path. See also \cite for info how to create references.
CITE_BIB_FILES = CITE_BIB_FILES = notes/Electrodynamics.bib
#--------------------------------------------------------------------------- #---------------------------------------------------------------------------
# Configuration options related to warning and progress messages # Configuration options related to warning and progress messages
@ -753,7 +753,7 @@ WARN_LOGFILE =
# spaces. # spaces.
# Note: If this tag is empty the current directory is searched. # Note: If this tag is empty the current directory is searched.
INPUT = qpms finite_systems.md README.md README.Triton.md finite_systems.md lattices.md TODO.md INPUT = qpms notes finite_systems.md README.md README.Triton.md finite_systems.md lattices.md TODO.md
# This tag can be used to specify the character encoding of the source files # This tag can be used to specify the character encoding of the source files
# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses # that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
@ -1477,7 +1477,7 @@ MATHJAX_EXTENSIONS =
# example see the documentation. # example see the documentation.
# This tag requires that the tag USE_MATHJAX is set to YES. # This tag requires that the tag USE_MATHJAX is set to YES.
MATHJAX_CODEFILE = MATHJAX_CODEFILE = notes/mathjax_newcommands.js
# When the SEARCHENGINE tag is enabled doxygen will generate a search box for # When the SEARCHENGINE tag is enabled doxygen will generate a search box for
# the HTML output. The underlying search engine uses javascript and DHTML and # the HTML output. The underlying search engine uses javascript and DHTML and

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notes/conventions.md Normal file
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VSWF conventions
================
| Source | VSWF definition | VSWF norm | CS Phase | Field expansion | Radiated power | Notes |
|--- |--- |--- |--- |--- |--- |--- |
| Kristensson I \cite kristensson_spherical_2014 | \f[ \wfkcreg, \wfkcout= \dots \f] | | | \f[
\vect E = k \sqrt{\eta_0\eta} \sum_n \left( \wckcreg_n \wfkcreg_n + \wckcout_n \wfkcout_n \right),
\\
\vect H = \frac{k \sqrt{\eta_0\eta}}{i\eta_0\eta} \sum_n \left( \wckcreg_n \wfkcreg_n + \wckcout_n \wfkcout_n \right)
\f] | \f[
P = \frac{1}{2} \sum_n \left( \abs{\wckcout_n}^2 +\Re \left(\wckcout_n\wckcreg_n^{*}\right)\right)
\f] | The \f$ \wckcreg, \wckcout \f$ coefficients have dimension \f$ \sqrt{\mathrm{W}} \f$. |
| Kristensson II \cite kristensson_scattering_2016 | \f[ \wfkrreg, \wfkrout= \dots \f] | | | \f[
\vect E = \sum_n \left( \wckrreg_n \wfkrreg_n + \wckrout_n \wfkrout_n \right),
\\
\vect H = \frac{1}{i\eta_0\eta} \sum_n \left( \wckrreg_n \wfkrreg_n + \wckrout_n \wfkrout_n \right)
\f] | \f[
P = \frac{1}{2k^2\eta_0\eta} \sum_n \left( \abs{\wckrout_n}^2 +\Re \left(\wckrout_n\wckrreg_n^{*}\right)\right)
\f] | The \f$ \wckrreg, \wckrout \f$ coefficients have dimension \f$ \mathrm{V/m} \f$. |
| Reid \cite reid_electromagnetism_2016 | | | | | | |
| Taylor \cite taylor_optical_2011 | | | | | | Different sign for regular/scattered waves! |

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MathJax.Hub.Config({
TeX: {
Macros: {
vect: ["{\\mathbf{#1}}",1],
abs: ["{\\left|{#1}\\right|}",1],
ud: "{\\mathrm{d}}",
pr: ["{\\left({#1}\\right)}", 1], // parentheses to save typing
// Kristensson's VSWFs, complex version (2014 notes)
wfkcreg: "{\\vect{v}}", // regular wave
wfkcout: "{\\vect{u}}", // outgoing wave
wckcreg: "{a}", // regular wave coeff
wckcout: "{f}", // outgoing wave coeff
// Kristensson's VSWFs, real version (2014 book)
wfkrreg: "{\\vect{v}}", // regular wave
wfkrout: "{\\vect{u}}", // outgoing wave
wckrreg: "{a}", // regular wave coeff
wckrout: "{f}", // outgoing wave coeff
// Taylor's VSWFs
wfmtreg: "{\\widetilde{\\vect{M}}^{(1)}}", // regular magnetic wave
wfetreg: "{\\widetilde{\\vect{N}}^{(1)}}", // regular electric wave
wfmtout: "{\\widetilde{\\vect{M}}^{(3)}}", // outgoing magnetic wave
wfetout: "{\\widetilde{\\vect{N}}^{(3)}}", // outgoing electric wave
wcmtreg: "{q}", // regular magnetic wave coeff
wcetreg: "{p}", // regular electric wave coeff
wcmtout: "{b}", // outgoing magnetic wave coeff
wcetout: "{a}" // outgoing electric wave coeff
}
}
});