diff --git a/worknotes.lyx b/worknotes.lyx index df8f8a1..744f947 100644 --- a/worknotes.lyx +++ b/worknotes.lyx @@ -1,5 +1,5 @@ -#LyX 2.1 created this file. For more info see http://www.lyx.org/ -\lyxformat 474 +#LyX 2.0 created this file. For more info see http://www.lyx.org/ +\lyxformat 413 \begin_document \begin_header \textclass revtex4 @@ -13,41 +13,32 @@ \font_roman default \font_sans default \font_typewriter default -\font_math auto \font_default_family default \use_non_tex_fonts true \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 + \graphics default -\default_output_format default +\default_output_format pdf4 \output_sync 0 -\bibtex_command default +\bibtex_command bibtex \index_command default \paperfontsize default \spacing single \use_hyperref false \papersize a4paper \use_geometry false -\use_package amsmath 1 -\use_package amssymb 1 -\use_package cancel 1 -\use_package esint 1 -\use_package mathdots 1 -\use_package mathtools 1 -\use_package mhchem 1 -\use_package stackrel 1 -\use_package stmaryrd 1 -\use_package undertilde 1 +\use_amsmath 1 +\use_esint 1 +\use_mhchem 1 +\use_mathdots 1 \cite_engine basic -\cite_engine_type default -\biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false -\justification true \use_refstyle 1 \index Index \shortcut idx @@ -329,6 +320,8 @@ key "mackowski_mstm_2013" \end_inset , the BCGM (biconjugate gradient method) is used. + (According to Wikipedia, this method is numerically unstable but has a + stabilized version (stabilized BCGM).) \end_layout \begin_layout Itemize @@ -431,13 +424,296 @@ Options for random orientation calculations \begin_inset Quotes erd \end_inset -? +? \end_layout \begin_layout Section Code integration \end_layout +\begin_layout Section +Testing and reproduction of foreign results +\end_layout + +\begin_layout Subsection +Delga PRL +\begin_inset CommandInset citation +LatexCommand cite +key "delga_quantum_2014" + +\end_inset + + +\end_layout + +\begin_layout Subsubsection +Parameters +\end_layout + +\begin_layout Itemize +Surrounding lossless dielectric +\series bold +medium +\series default + with permittivity +\begin_inset Formula $\epsilon_{d}=2.13$ +\end_inset + +. +\end_layout + +\begin_layout Itemize + +\series bold +QEs: +\series default + dipole moment +\begin_inset Formula $\mu=0.19\, e\cdot\mathrm{nm}=9.12\,\mathrm{D}$ +\end_inset + +, count +\begin_inset Formula $N\in\left\{ 1,50,100,200\right\} $ +\end_inset + +, radial orientation, +\begin_inset Formula $h=1\,\mathrm{nm}$ +\end_inset + + above the sphere (except for Fig. + 5 where variable), natural frequency +\begin_inset Formula $\Omega_{n}=\omega_{0}-i\gamma_{\mathrm{QE}}/2,$ +\end_inset + + +\begin_inset Formula $\omega_{0}=$ +\end_inset + + varies, +\begin_inset Formula $\gamma_{\mathrm{QE}}=15\,\mathrm{meV}$ +\end_inset + +. +\end_layout + +\begin_layout Itemize + +\series bold +Sphere: +\end_layout + +\begin_deeper +\begin_layout Itemize +radius +\begin_inset Formula $a=7\,\mathrm{nm}$ +\end_inset + +, +\end_layout + +\begin_layout Itemize +Drude model +\begin_inset Formula $\epsilon_{m}(\omega)=\epsilon_{\infty}-\frac{\omega_{p}^{2}}{\omega\left(\omega+i\gamma_{p}\right)}$ +\end_inset + + +\end_layout + +\begin_deeper +\begin_layout Itemize +Drude parameters +\begin_inset Formula $\omega_{p}=9\,\mathrm{eV}$ +\end_inset + +, +\begin_inset Formula $\epsilon_{\infty}=4.6$ +\end_inset + +, +\begin_inset Formula $\gamma_{p}=0.1\,\mathrm{eV}$ +\end_inset + + +\end_layout + +\end_deeper +\begin_layout Itemize +background permittivity +\begin_inset Formula $\epsilon_{d}(\omega)=2.13$ +\end_inset + + +\end_layout + +\begin_layout Itemize +(approximate?; not really a parameter) LSP resonances +\begin_inset Formula $\omega_{l}=\omega_{p}/\sqrt{\epsilon_{\infty}+\left(1+1/l\right)\epsilon_{d}}$ +\end_inset + +; particularly, +\begin_inset Formula $\omega_{1}\approx3.0236\,\mathrm{eV}$ +\end_inset + +, +\begin_inset Formula $\omega_{2}\approx3.2236\,\mathrm{eV}$ +\end_inset + +, +\begin_inset Formula $\omega_{\infty}\approx3.4692\,\mathrm{eV}$ +\end_inset + + +\end_layout + +\end_deeper +\begin_layout Itemize + +\series bold +Detector: +\series default + +\end_layout + +\begin_deeper +\begin_layout Itemize +Far field: +\begin_inset Formula $1\,\mathrm{\mu m}$ +\end_inset + + away from the center of the nanoparticle along the +\begin_inset Formula $y$ +\end_inset + + axis (Fig. + 3). +\end_layout + +\begin_layout Itemize +Near field: position not specified in the paper; but in Fig. + 4(b) there are +\begin_inset Quotes eld +\end_inset + +polarization spectra +\begin_inset Quotes erd +\end_inset + + instead of +\begin_inset Quotes eld +\end_inset + +light spectra +\begin_inset Quotes erd +\end_inset + + (eq. + 4) in Fig. + 4(a). + Does this mean that they are evaluated somewhere in/on the sphere? Or in + the particle? The latter is likely, as it is given by +\begin_inset Formula $P_{n}\left(\omega\right)=\left\langle \sigma_{n}^{+}\left(-\omega\right)\sigma_{n}^{-}(\omega)\right\rangle $ +\end_inset + + (cf. + the column below Fig. + 3). +\end_layout + +\end_deeper +\begin_layout Subsubsection +Testing +\end_layout + +\begin_layout Standard +In my +\begin_inset Quotes eld +\end_inset + +old +\begin_inset Quotes erd +\end_inset + + code, there no splitting observable around +\begin_inset Formula $\omega\approx\omega_{0}\approx\omega_{\infty}\approx3.46\,\mathrm{eV}$ +\end_inset + +. + This is perhaps because the couplings to the higher multipoles is miscalculated + (too small). + No splitting around the NP dipole ( +\begin_inset Formula $\approx3,02\,\mathrm{eV}$ +\end_inset + +) should be OK for single QE in far field (cf. + Fig. + 3). + And there are yet the +\begin_inset Quotes eld +\end_inset + +switched axes +\begin_inset Quotes erd +\end_inset + +... +\end_layout + +\begin_layout Subsection +Delga JoO +\begin_inset CommandInset citation +LatexCommand cite +key "delga_theory_2014" + +\end_inset + + +\end_layout + +\begin_layout Subsubsection +Parameters +\end_layout + +\begin_layout Itemize + +\series bold +QEs: +\series default + dipole moment +\begin_inset Formula $\mu=0.38\, e\cdot\mathrm{nm}=18.24\,\mathrm{D}$ +\end_inset + + (double), otherwise the same parameters as in +\begin_inset CommandInset citation +LatexCommand cite +key "delga_quantum_2014" + +\end_inset + +. +\end_layout + +\begin_layout Itemize + +\series bold +Sphere: +\series default +as in +\begin_inset CommandInset citation +LatexCommand cite +key "delga_quantum_2014" + +\end_inset + + +\end_layout + +\begin_layout Itemize + +\series bold +Detector: +\series default + not stated in the paper +\end_layout + \begin_layout Standard \begin_inset CommandInset bibtex LatexCommand bibtex