qpms/lepaper/arrayscat.lyx

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\pdf_title "Sähköpajan päiväkirja"
\pdf_author "Marek Nečada"
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\begin_layout Title
Some nice title about multiple scattering approach to photonic nanoparticle
arrays (outline)
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\begin_layout Author
Marek Nečada
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\begin_layout Standard
Excerpt from the SIAM Journal of Scientific Computing Editorial Policy:
\end_layout
\begin_layout Quotation
The purpose of SIAM Journal on Scientific Computing (SISC) is to advance
computational methods for solving scientific and engineering problems.
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\begin_layout Quotation
SISC papers are classified into three categories:
\end_layout
\begin_deeper
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Methods and Algorithms for Scientific Computing: Papers in this category
may include theoretical analysis, provided that the relevance to applications
in science and engineering is demonstrated.
They should contain meaningful computational results and theoretical results
or strong heuristics supporting the performance of new algorithms.
\end_layout
\begin_layout Itemize
Computational Methods in Science and Engineering: Papers in this section
will typically describe novel methodologies for solving a specific problem
in computational science or engineering.
They should contain enough information about the application to orient
other computational scientists but should omit details of interest mainly
to the applications specialist.
\end_layout
\begin_layout Itemize
Software and High-Performance Computing: Papers in this category should
concern the novel design and development of computational methods and high-qual
ity software, parallel algorithms, high-performance computing issues, new
architectures, data analysis, or visualization.
The primary focus should be on computational methods that have potentially
large impact for an important class of scientific or engineering problems.
\end_layout
\end_deeper
\begin_layout Quotation
Authors are encouraged to indicate which category best fits their SISC submissio
n.
\end_layout
\begin_layout Quotation
All submissions to SISC must be well written and accessible to a wide variety
of readers, and should represent a clear advance in the state of the art.
\end_layout
\begin_layout Quotation
Due to space limitations, articles are normally limited to 20 journal pages.
Exceptions can be made in special cases only with the concurrence of the
referees, the associate editor, and the editor-in-chief.
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Category: Methods and Algorithms for Scientific Computing?
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\begin_layout Section
Outline
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Intro:
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problem of optical response of nanoparticle arrays
\end_layout
\begin_layout Itemize
application domain of my method, computational complexity
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brief comparison of complexities with the
\begin_inset Quotes eld
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old-fashioned
\begin_inset Quotes erd
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(FEM, FDTD)
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my implementation
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Finite systems:
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\begin_deeper
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motivation (classes of problems that this can solve: response to external
radiation, resonances, ...)
\end_layout
\begin_layout Itemize
theory
\end_layout
\begin_deeper
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T-matrix definition, basics
\end_layout
\begin_deeper
\begin_layout Itemize
How to get it?
\end_layout
\end_deeper
\begin_layout Itemize
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)
\end_layout
\begin_layout Itemize
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)
\end_layout
\begin_layout Itemize
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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