842 lines
15 KiB
Plaintext
842 lines
15 KiB
Plaintext
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\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
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\begin_layout Title
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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 for solving scientific and engineering problems.
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SISC papers are classified into three categories:
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Methods and Algorithms for Scientific Computing: Papers in this category
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may include theoretical analysis, provided that the relevance to applications
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in science and engineering is demonstrated.
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They should contain meaningful computational results and theoretical results
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or strong heuristics supporting the performance of new algorithms.
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\end_layout
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\begin_layout Itemize
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Computational Methods in Science and Engineering: Papers in this section
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will typically describe novel methodologies for solving a specific problem
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in computational science or engineering.
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They should contain enough information about the application to orient
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other computational scientists but should omit details of interest mainly
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to the applications specialist.
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Software and High-Performance Computing: Papers in this category should
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concern the novel design and development of computational methods and high-qual
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ity software, parallel algorithms, high-performance computing issues, new
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architectures, data analysis, or visualization.
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The primary focus should be on computational methods that have potentially
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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
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n.
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\end_layout
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\begin_layout Quotation
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All submissions to SISC must be well written and accessible to a wide variety
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of readers, and should represent a clear advance in the state of the art.
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\end_layout
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\begin_layout Quotation
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Due to space limitations, articles are normally limited to 20 journal pages.
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Exceptions can be made in special cases only with the concurrence of the
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referees, the associate editor, and the editor-in-chief.
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\end_layout
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\begin_layout Standard
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Category: Methods and Algorithms for Scientific Computing?
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\end_layout
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\begin_layout Abstract
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The (somewhat underrated) T-matrix multiple scattering method (TMMSM) can
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be used to solve the electromagnetic response of systems consisting of
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many compact scatterers.
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It largely surpasses other methods in the number of scatterers it can deal
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with, while retaining very good accuracy.
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\end_layout
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\begin_layout Abstract
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TODO REWRITE: We release a modern implementation of the method under GNU
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General Public Licence, with several theoretical advancements presented
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here, such as exploiting the system symmetries to further improve the efficienc
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y of the method, or extending it on infinite periodic systems.
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\end_layout
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\begin_layout Section
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Outline
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Intro:
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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problem of optical response of nanoparticle arrays
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\end_layout
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\begin_layout Itemize
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application domain of my method, computational complexity
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\end_layout
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\begin_layout Itemize
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brief comparison of complexities with the
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\begin_inset Quotes eld
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old-fashioned
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(FEM, FDTD)
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\begin_layout Itemize
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my implementation
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\end_layout
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\end_deeper
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\begin_layout Itemize
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Finite systems:
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\begin_deeper
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\begin_layout Itemize
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motivation (classes of problems that this can solve: response to external
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radiation, resonances, ...)
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\end_layout
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\begin_layout Itemize
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theory
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\begin_deeper
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T-matrix definition, basics
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\begin_inset Separator latexpar
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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How to get it?
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\end_layout
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\end_deeper
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\begin_layout Itemize
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translation operators (TODO think about how explicit this should be, but
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I guess it might be useful to write them to write them explicitly (but
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in the shortest possible form) in the normalisation used in my program)
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\end_layout
|
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|
\begin_layout Itemize
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|
employing point group symmetries and decomposing the problem to decrease
|
|
the computational complexity (maybe separately)
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\end_layout
|
|
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\end_deeper
|
|
\begin_layout Itemize
|
|
Example results (or maybe rather in the end)
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\end_layout
|
|
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\end_deeper
|
|
\begin_layout Itemize
|
|
Infinite lattices:
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|
\begin_inset Separator latexpar
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\end_inset
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\end_layout
|
|
|
|
\begin_deeper
|
|
\begin_layout Itemize
|
|
motivation (dispersion relations / modes, ...?)
|
|
\end_layout
|
|
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|
\begin_layout Itemize
|
|
theory
|
|
\begin_inset Separator latexpar
|
|
\end_inset
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|
\end_layout
|
|
|
|
\begin_deeper
|
|
\begin_layout Itemize
|
|
Ewald sum of translation operators (again, we shall see how explicit expressions
|
|
it will take to not make it too repulsive)
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
singularities and convergence (TODO)
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
applications: mode problem with SVD, transmision/reflection
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
space group symmetries (again, maybe all the symmetry-related stuff separately?)
|
|
\end_layout
|
|
|
|
\end_deeper
|
|
\begin_layout Itemize
|
|
Example results (or maybe all in the end)
|
|
\end_layout
|
|
|
|
\end_deeper
|
|
\begin_layout Itemize
|
|
Topology related stuff (TODO)?
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
My implementation.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Maybe put the numerical results separately in the end.
|
|
\end_layout
|
|
|
|
\begin_layout Section
|
|
TODOs
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Consistent notation of balls.
|
|
How is the difference between two cocentric balls called?
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Abstract.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Translation operators: rewrite in sph.
|
|
harm.
|
|
convention independent form.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Truncation notation.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Example results.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Concrete comparison with other methods.
|
|
\end_layout
|
|
|
|
\begin_layout Itemize
|
|
Fix and unify notation (mainly indices) in infinite lattices section.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "intro.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "finite.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset Note Note
|
|
status open
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "finite-old.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "infinite.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset Note Note
|
|
status open
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "infinite-old.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "symmetries.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset CommandInset include
|
|
LatexCommand include
|
|
filename "examples.lyx"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset CommandInset bibtex
|
|
LatexCommand bibtex
|
|
bibfiles "T-matrix paper"
|
|
options "plain"
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_body
|
|
\end_document
|