qpms/lepaper/arrayscat.lyx

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\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
\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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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
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
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.
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Computational Methods in Science and Engineering: Papers in this section
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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.
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Software and High-Performance Computing: Papers in this category should
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The primary focus should be on computational methods that have potentially
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Authors are encouraged to indicate which category best fits their SISC submissio
n.
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All submissions to SISC must be well written and accessible to a wide variety
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referees, the associate editor, and the editor-in-chief.
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Category: Methods and Algorithms for Scientific Computing?
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Outline
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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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Finite systems:
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motivation (classes of problems that this can solve: response to external
radiation, resonances, ...)
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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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