diff --git a/notes/conventions.md b/notes/conventions.md
index 6588ad6..bae6ac5 100644
--- a/notes/conventions.md
+++ b/notes/conventions.md
@@ -7,8 +7,8 @@ VSWF conventions
 | 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[
+	\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] but for plane wave expansion \cite kristensson_spherical_2014 sect. 2.5 K. uses a different definition (same as in Kristensson II).  	| \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$. |
 | Kristensson II \cite kristensson_scattering_2016	| \f[ \wfkrreg, \wfkrout= \dots \f] 	|   	|   	| \f[ 
@@ -23,8 +23,12 @@ VSWF conventions
 	\wfet_{mn}^{(j)}	=	\frac{n(n+1)}{kr}\sqrt{\frac{2n+1}{4\pi}\frac{\left(n-m\right)!}{\left(n+m\right)!}}P_{n}^{m}\left(\cos\theta\right)e^{im\phi}z_{n}^{j}\left(kr\right)\uvec{r} \\
 		+\left[\tilde{\tau}_{mn}\left(\cos\theta\right)\uvec{\theta}+i\tilde{\pi}_{mn}\left(\cos\theta\right)\uvec{\phi}\right]e^{im\phi}\frac{1}{kr}\frac{\ud\left(kr\,z_{n}^{j}\left(kr\right)\right)}{\ud(kr)}, \\ 
 	\wfmt_{mn}^{(j)}	=	\left[i\tilde{\pi}_{mn}\left(\cos\theta\right)\uvec{\theta}-\tilde{\tau}_{mn}\left(\cos\theta\right)\uvec{\phi}\right]e^{im\phi}z_{n}^{j}\left(kr\right)
-\f]  | 	|   	| \f[ 
+\f]  | 	\f[
+	\int_{S(kr)} \wfmt_{mn}^{(j)} \wfmt_{m'n'}^{(j)}\,\ud S = n(n+1) \abs{z_n^{(j)}}^2 \delta_{m,m'}\delta_{n,n'} ,\\
+	\int_{S(kr)} \wfet_{mn}^{(j)} \wfet_{m'n'}^{(j)}\,\ud S =
+           \pr{\pr{n(n+1)}^2 \abs{\frac{z_n^{(j)}}{kr}}^2 + n(n+1)\abs{\frac{1}{kr}\frac{\ud}{\ud(kr)}\pr{kr z_n^{(j)}}} } \delta_{m,m'}\delta_{n,n'} ,
+\f] cf. \cite taylor_optical_2011, eqs. (2.40–41). I suspect that this is also wrong and \f$\delta_{m,m'}\f$ should be replaced with \f$\delta_{m,-m'}\f$. |	| \f[ 
 	\vect E = \sum_{mn} \pr{-i \pr{\wcetreg_{mn}\wfetreg_{mn} + \wcmtreg_{mn}\wfmtreg{mn}} +i \pr{\wcetout_{mn}\wfetout_{mn} + \wcmtout_{mn}\wfmtout_{mn}}}, \\
 	\vect H = n_{ext}\sum_{mn} \pr{- \pr{\wcmtreg_{mn}\wfetreg_{mn} + \wcetreg_{mn}\wfmtreg{mn}} + \pr{\wcmtout_{mn}\wfetout_{mn} + \wcetout_{mn}\wfmtout_{mn}}},
-\f]  	| 	| Different sign for regular/scattered waves! Also WTF are the units of \f$ n_{ext} \f$? |
+\f]  	| 	| Different sign for regular/scattered waves! Also WTF are the units of \f$ n_{ext} \f$?  The whole definition seems rather inconsistent. |