611 lines
11 KiB
Plaintext
611 lines
11 KiB
Plaintext
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\pdf_title "Multiple-scattering T-matrix approach in nanophotonics"
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Some nice title about multiple scattering approach to photonic nanoparticle
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arrays (outline)
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\begin_layout Author
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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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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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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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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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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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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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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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\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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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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my implementation
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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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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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\begin_deeper
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\begin_layout Itemize
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How to get it?
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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
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the computational complexity (maybe separately)
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\end_layout
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\end_deeper
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\begin_layout Itemize
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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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\end_layout
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\begin_layout Itemize
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theory
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Ewald sum of translation operators (again, we shall see how explicit expressions
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it will take to not make it too repulsive)
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\end_layout
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singularities and convergence (TODO)
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applications: mode problem with SVD, transmision/reflection
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\end_layout
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\begin_layout Itemize
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space group symmetries (again, maybe all the symmetry-related stuff separately?)
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\end_deeper
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\begin_layout Itemize
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Example results (or maybe all in the end)
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\end_layout
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\end_deeper
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\begin_layout Itemize
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Topology related stuff (TODO)?
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\end_layout
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\begin_layout Itemize
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My implementation.
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\end_layout
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\begin_layout Itemize
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Maybe put the numerical results separately in the end.
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\end_layout
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\begin_layout Standard
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bibfiles "T-matrix paper"
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options "plain"
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