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! |