Infinite systems basic motivation

Former-commit-id: 8a214e3408eabdd5f874d6f31f677cce2d738a02

lepaper/infinite.lyx

@@ -97,6 +97,30 @@
 Infinite periodic systems
 \end_layout
 
+\begin_layout Standard
+Although large finite systems are where MSTMM excels the most, there are
+ several reasons that makes its extension to infinite lattices (where periodic
+ boundary conditions might be applied) desirable as well.
+ Other methods might be already fast enough, but MSTMM will be faster in
+ most cases in which there is enough spacing between the neighboring particles.
+ MSTMM works well with any space group symmetry the system might have (as
+ opposed to, for example, FDTD with cubic mesh applied to a honeycomb lattice),
+ which makes e.g.
+ application of group theory in mode analysis quite easy.
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Topology anoyne?
+\end_layout
+
+\end_inset
+
+ And finally, having a method that handles well both infinite and large
+ finite system gives a possibility to study finite-size effects in periodic
+ scatterer arrays.
+\end_layout
+
 \begin_layout Subsection
 Formulation of the problem
 \end_layout
@@ -271,7 +295,7 @@ reference "eq:W definition"
 
  in terms of integral with a delta comb
 \begin_inset FormulaMacro
-\renewcommand{\basis}[1]{\mathfrak{#1}}
+\newcommand{\basis}[1]{\mathfrak{#1}}
 \end_inset