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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
 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.
 
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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
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.
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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
 of readers, and should represent a clear advance in the state of the art.
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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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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 
\begin_inset Quotes eld
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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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\begin_deeper
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T-matrix definition, basics
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\begin_deeper
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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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motivation (dispersion relations / modes, ...?)
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theory
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\begin_deeper
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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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\begin_layout Itemize
singularities and convergence (TODO)
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\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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