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\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
\pdf_author "Marek Nečada"
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\begin_layout Title
QPMS Photonic Multiple Scattering suite (TODO better title)
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Excerpt from the SIAM Journal of Scientific Computing Editorial Policy:
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The purpose of SIAM Journal on Scientific Computing (SISC) is to advance
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Computational Methods in Science and Engineering: Papers in this section
 will typically describe novel methodologies for solving a specific problem
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 other computational scientists but should omit details of interest mainly
 to the applications specialist.
 
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Software and High-Performance Computing: Papers in this category should
 concern the novel design and development of computational methods and high-qual
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 The primary focus should be on computational methods that have potentially
 large impact for an important class of scientific or engineering problems.
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Authors are encouraged to indicate which category best fits their SISC submissio
n.
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Category: Methods and Algorithms for Scientific Computing?
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\begin_layout Abstract
The (somewhat underrated) T-matrix multiple scattering method (TMMSM) can
 be used to solve the electromagnetic response of systems consisting of
 many compact scatterers.
 It largely surpasses other methods in the number of scatterers it can deal
 with, while retaining very good accuracy.
\end_layout

\begin_layout Abstract
TODO REWRITE: We release a modern implementation of the method under GNU
 General Public Licence, with several theoretical advancements presented
 here, such as exploiting the system symmetries to further improve the efficienc
y of the method, or extending it on infinite periodic systems.
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Intro: 
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problem of optical response of nanoparticle arrays
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application domain of my method, computational complexity
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brief comparison of complexities with the 
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old-fashioned
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 (FEM, FDTD)
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my implementation
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motivation (classes of problems that this can solve: response to external
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theory
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T-matrix definition, basics
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How to get it?
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translation operators (TODO think about how explicit this should be, but
 I guess it might be useful to write them to write them explicitly (but
 in the shortest possible form) in the normalisation used in my program)
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employing point group symmetries and decomposing the problem to decrease
 the computational complexity (maybe separately)
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Example results (or maybe rather in the end)
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Infinite lattices:
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motivation (dispersion relations / modes, ...?)
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theory
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Ewald sum of translation operators (again, we shall see how explicit expressions
 it will take to not make it too repulsive) 
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singularities and convergence (TODO)
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applications: mode problem with SVD, transmision/reflection
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space group symmetries (again, maybe all the symmetry-related stuff separately?)
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Example results (or maybe all in the end)
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Topology related stuff (TODO)?
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My implementation.
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Maybe put the numerical results separately in the end.
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