[worknotes] added Delga's parameters
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Marek Nečada
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worknotes.lyx
314
worknotes.lyx
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@ -1,5 +1,5 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.0 created this file. For more info see http://www.lyx.org/
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\lyxformat 413
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\begin_document
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\begin_header
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\textclass revtex4
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@ -13,41 +13,32 @@
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\font_roman default
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\font_sans default
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\font_typewriter default
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\font_math auto
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\font_default_family default
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\use_non_tex_fonts true
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\font_sc false
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\font_osf false
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\font_sf_scale 100
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\font_tt_scale 100
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\graphics default
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\default_output_format default
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\default_output_format pdf4
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\output_sync 0
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\bibtex_command default
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\bibtex_command bibtex
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\index_command default
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\paperfontsize default
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\spacing single
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\use_hyperref false
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\papersize a4paper
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\use_geometry false
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\use_package amsmath 1
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\use_package amssymb 1
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\use_package cancel 1
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\use_package esint 1
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\use_package mathdots 1
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\use_package mathtools 1
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\use_package mhchem 1
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\use_package stackrel 1
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\use_package stmaryrd 1
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\use_package undertilde 1
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\use_amsmath 1
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\use_esint 1
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\use_mhchem 1
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\use_mathdots 1
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\cite_engine basic
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\cite_engine_type default
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\biblio_style plain
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\use_bibtopic false
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\use_indices false
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\paperorientation portrait
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\suppress_date false
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\justification true
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\use_refstyle 1
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\index Index
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\shortcut idx
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@ -329,6 +320,8 @@ key "mackowski_mstm_2013"
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\end_inset
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, the BCGM (biconjugate gradient method) is used.
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(According to Wikipedia, this method is numerically unstable but has a
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stabilized version (stabilized BCGM).)
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\end_layout
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\begin_layout Itemize
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@ -431,13 +424,296 @@ Options for random orientation calculations
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\begin_inset Quotes erd
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\end_inset
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?
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?
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\end_layout
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\begin_layout Section
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Code integration
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\end_layout
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\begin_layout Section
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Testing and reproduction of foreign results
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\end_layout
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\begin_layout Subsection
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Delga PRL
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\begin_inset CommandInset citation
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LatexCommand cite
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key "delga_quantum_2014"
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\end_inset
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\end_layout
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\begin_layout Subsubsection
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Parameters
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\end_layout
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\begin_layout Itemize
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Surrounding lossless dielectric
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\series bold
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medium
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\series default
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with permittivity
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\begin_inset Formula $\epsilon_{d}=2.13$
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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\series bold
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QEs:
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\series default
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dipole moment
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\begin_inset Formula $\mu=0.19\, e\cdot\mathrm{nm}=9.12\,\mathrm{D}$
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\end_inset
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, count
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\begin_inset Formula $N\in\left\{ 1,50,100,200\right\} $
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\end_inset
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, radial orientation,
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\begin_inset Formula $h=1\,\mathrm{nm}$
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\end_inset
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above the sphere (except for Fig.
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5 where variable), natural frequency
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\begin_inset Formula $\Omega_{n}=\omega_{0}-i\gamma_{\mathrm{QE}}/2,$
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\end_inset
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\begin_inset Formula $\omega_{0}=$
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\end_inset
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varies,
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\begin_inset Formula $\gamma_{\mathrm{QE}}=15\,\mathrm{meV}$
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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\series bold
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Sphere:
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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radius
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\begin_inset Formula $a=7\,\mathrm{nm}$
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\end_inset
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,
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\end_layout
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\begin_layout Itemize
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Drude model
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\begin_inset Formula $\epsilon_{m}(\omega)=\epsilon_{\infty}-\frac{\omega_{p}^{2}}{\omega\left(\omega+i\gamma_{p}\right)}$
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\end_inset
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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Drude parameters
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\begin_inset Formula $\omega_{p}=9\,\mathrm{eV}$
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\end_inset
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,
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\begin_inset Formula $\epsilon_{\infty}=4.6$
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\end_inset
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,
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\begin_inset Formula $\gamma_{p}=0.1\,\mathrm{eV}$
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\end_inset
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\end_layout
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\end_deeper
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\begin_layout Itemize
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background permittivity
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\begin_inset Formula $\epsilon_{d}(\omega)=2.13$
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\end_inset
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\end_layout
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\begin_layout Itemize
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(approximate?; not really a parameter) LSP resonances
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\begin_inset Formula $\omega_{l}=\omega_{p}/\sqrt{\epsilon_{\infty}+\left(1+1/l\right)\epsilon_{d}}$
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\end_inset
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; particularly,
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\begin_inset Formula $\omega_{1}\approx3.0236\,\mathrm{eV}$
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\end_inset
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,
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\begin_inset Formula $\omega_{2}\approx3.2236\,\mathrm{eV}$
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\end_inset
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,
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\begin_inset Formula $\omega_{\infty}\approx3.4692\,\mathrm{eV}$
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\end_inset
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\end_layout
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\end_deeper
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\begin_layout Itemize
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\series bold
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Detector:
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\series default
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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Far field:
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\begin_inset Formula $1\,\mathrm{\mu m}$
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\end_inset
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away from the center of the nanoparticle along the
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\begin_inset Formula $y$
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\end_inset
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axis (Fig.
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3).
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\end_layout
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\begin_layout Itemize
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Near field: position not specified in the paper; but in Fig.
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4(b) there are
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\begin_inset Quotes eld
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\end_inset
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polarization spectra
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\begin_inset Quotes erd
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\end_inset
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instead of
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\begin_inset Quotes eld
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\end_inset
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light spectra
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\begin_inset Quotes erd
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\end_inset
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(eq.
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4) in Fig.
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4(a).
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Does this mean that they are evaluated somewhere in/on the sphere? Or in
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the particle? The latter is likely, as it is given by
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\begin_inset Formula $P_{n}\left(\omega\right)=\left\langle \sigma_{n}^{+}\left(-\omega\right)\sigma_{n}^{-}(\omega)\right\rangle $
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\end_inset
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(cf.
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the column below Fig.
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3).
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\end_layout
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\end_deeper
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\begin_layout Subsubsection
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Testing
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\end_layout
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\begin_layout Standard
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In my
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\begin_inset Quotes eld
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\end_inset
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old
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\begin_inset Quotes erd
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\end_inset
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code, there no splitting observable around
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\begin_inset Formula $\omega\approx\omega_{0}\approx\omega_{\infty}\approx3.46\,\mathrm{eV}$
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\end_inset
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.
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This is perhaps because the couplings to the higher multipoles is miscalculated
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(too small).
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No splitting around the NP dipole (
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\begin_inset Formula $\approx3,02\,\mathrm{eV}$
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\end_inset
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) should be OK for single QE in far field (cf.
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Fig.
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3).
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And there are yet the
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\begin_inset Quotes eld
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\end_inset
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switched axes
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\begin_inset Quotes erd
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\end_inset
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...
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\end_layout
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\begin_layout Subsection
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Delga JoO
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\begin_inset CommandInset citation
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LatexCommand cite
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key "delga_theory_2014"
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\end_inset
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\end_layout
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\begin_layout Subsubsection
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Parameters
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\end_layout
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\begin_layout Itemize
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\series bold
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QEs:
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\series default
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dipole moment
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\begin_inset Formula $\mu=0.38\, e\cdot\mathrm{nm}=18.24\,\mathrm{D}$
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\end_inset
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(double), otherwise the same parameters as in
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\begin_inset CommandInset citation
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LatexCommand cite
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key "delga_quantum_2014"
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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\series bold
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Sphere:
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\series default
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as in
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\begin_inset CommandInset citation
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LatexCommand cite
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key "delga_quantum_2014"
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\end_inset
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\end_layout
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\begin_layout Itemize
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\series bold
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Detector:
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\series default
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not stated in the paper
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\end_layout
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\begin_layout Standard
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\begin_inset CommandInset bibtex
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LatexCommand bibtex
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