Former-commit-id: 208124cb5f6c85a3fe1174c253fd41322401600e
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Marek Nečada 2020-06-22 06:10:45 +03:00
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@ -1054,7 +1054,28 @@ literal "true"
\end_layout \end_layout
\begin_layout Section \begin_layout Section
Acknowledgements Summary
\end_layout
\begin_layout Standard
We presented two major enhancements of the electromagnetic multiple-scattering
\begin_inset Formula $T$
\end_inset
-matrix method: 1) Employing Ewald summation techniques enables very efficient
computation of lattice modes and optical response of infinite periodic
nanoparticle structures.
2) Exploiting possible symmetries of the system by transformation into
symmetry adapted basis reduces the requirements on computational resources
considerably, enabling simulations of finite systems with dozens of thousands
of scatterers.
These enhancements are included into the QPMS software suite, which we
hereby make publicly available under the GNU General Public License.
\end_layout
\begin_layout Section
Acknowledgments
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard

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@ -107,7 +107,7 @@ name "sec:Introduction"
\begin_layout Standard \begin_layout Standard
The problem of electromagnetic response of a system consisting of many relativel The problem of electromagnetic response of a system consisting of many relativel
y small, compact scatterers in various geometries, and its numerical solution, y small, compact scatterers in various geometries, and its numerical solution,
is relevant to many branches of nanophotonics. is relevant to several branches of nanophotonics.
In practice, the scatterers often form some ordered structure, such as In practice, the scatterers often form some ordered structure, such as
metalic or dielectric nanoparticle arrays metalic or dielectric nanoparticle arrays
\begin_inset CommandInset citation \begin_inset CommandInset citation
@ -203,15 +203,22 @@ literal "false"
couplings between each pair of DoF. couplings between each pair of DoF.
Therefore, a common (frequency-domain) approach to get an approximate solution Therefore, a common (frequency-domain) approach to get an approximate solution
of the scattering problem for many small particles has been the coupled of the scattering problem for many small particles has been the coupled
dipole approximation (CDA) where a drastic reduction of the number of DoF dipole approximation (CD)
is achieved by approximating individual scatterers to electric dipoles \begin_inset CommandInset citation
(characterised by a polarisability tensor) coupled to each other through LatexCommand cite
Green's functions. key "zhao_extinction_2003"
literal "false"
\end_inset
where a drastic reduction of the number of DoF is achieved by approximating
individual scatterers to electric dipoles (characterised by a polarisability
tensor) coupled to each other through Green's functions.
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
CDA is easy to implement and demands relatively little computational resources CD is easy to implement and demands relatively little computational resources
but suffers from at least two fundamental drawbacks. but suffers from at least two fundamental drawbacks.
The obvious one is that the dipole approximation is too rough for particles The obvious one is that the dipole approximation is too rough for particles
with diameter larger than a small fraction of the wavelength, which results with diameter larger than a small fraction of the wavelength, which results
@ -242,11 +249,11 @@ literal "false"
\end_inset \end_inset
and CDA by definition fails to capture such modes. and CD by definition fails to capture such modes.
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
The natural way to overcome both limitations of CDA mentioned above is to The natural way to overcome both limitations of CD mentioned above is to
take higher multipoles into account. take higher multipoles into account.
Instead of a polarisability tensor, the scattering properties of an individual Instead of a polarisability tensor, the scattering properties of an individual
particle are then described with more general particle are then described with more general
@ -336,7 +343,8 @@ literal "false"
\end_inset \end_inset
, which also a rare example is in this field of a code with a clear licence. , which also a rare example is in this field of a publicly available code
with a clear licence.
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -355,6 +363,18 @@ However, the potential of MSTMM reaches far beyond its past implementations.
on computational resources, hence speeding up the computations and allowing on computational resources, hence speeding up the computations and allowing
for finite size simulations of systems with particle numbers practically for finite size simulations of systems with particle numbers practically
impossible to reliably simulate with any other method. impossible to reliably simulate with any other method.
Furthemore, the method can be combined with other integral methods, which
removes the limitation to systems with compact scatterers only, and enables
e.g.
including a substrate
\begin_inset CommandInset citation
LatexCommand cite
key "czajkowski_multipole_2020"
literal "false"
\end_inset
.
\begin_inset Note Note \begin_inset Note Note
status open status open
@ -493,15 +513,14 @@ TODO před odesláním zkontrolovat, co všechno to v danou chvíli umí.
\end_inset \end_inset
It includes extensive Doxygen documentation, together with description It includes Doxygen documentation together with description of the API.
of the API.
It has been written with customisability and extendibility in mind, so It has been written with customisability and extendibility in mind, so
that including e.g. that including e.g.
alternative methods of alternative methods of
\begin_inset Formula $T$ \begin_inset Formula $T$
\end_inset \end_inset
-matrix calculations of a single matrix are as easy as possible. -matrix calculations of a single particle's matrix are as easy as possible.
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard