qpms/lepaper/arrayscat.lyx

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#LyX 2.4 created this file. For more info see https://www.lyx.org/
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\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
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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
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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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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
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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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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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(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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