From 49bde57bb703e854adaa6a1fab26221a22b2de73 Mon Sep 17 00:00:00 2001 From: Edward Emelianov Date: Sun, 27 Feb 2022 20:43:32 +0300 Subject: [PATCH] Add lecture about CCDs --- Komp_obr_SFedU/additional/01.pdf | Bin 0 -> 1698659 bytes Komp_obr_SFedU/additional/01.tex | 425 ++++++++++++++++++ Komp_obr_SFedU/additional/lect.sty | 143 ++++++ Komp_obr_SFedU/additional/pic/2phase.png | Bin 0 -> 5831 bytes Komp_obr_SFedU/additional/pic/3phase.png | Bin 0 -> 7914 bytes .../additional/pic/Apogee_linearity.png | Bin 0 -> 98290 bytes Komp_obr_SFedU/additional/pic/Kodak_dark.png | Bin 0 -> 73442 bytes Komp_obr_SFedU/additional/pic/QE_PTGrey.jpg | Bin 0 -> 74061 bytes Komp_obr_SFedU/additional/pic/WCSfits.png | Bin 0 -> 209969 bytes Komp_obr_SFedU/additional/pic/apert.png | Bin 0 -> 152808 bytes .../additional/pic/astrometrynet.png | Bin 0 -> 109967 bytes .../additional/pic/bloomingfigure4.jpg | Bin 0 -> 27153 bytes Komp_obr_SFedU/additional/pic/ccd_darkcur.jpg | Bin 0 -> 55734 bytes 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+\end{frame} + +\section{ðúó Ó×ÅÔÏÐÒÉÅÍÎÉËÉ} +\begin{frame}{ðúó} +\vspace*{-1.5em} +\begin{columns} +\column{0.43\textwidth} +\img{ccdintro} +\column{0.55\textwidth} +\begin{block}{} + 1969, õÉÌÌÁÒÄ âÏÊÌ É äÖÏÒÄÖ óÍÉÔ, ÌÁÂÏÒÁÔÏÒÉÉ âÅÌÌÁ. + + 1975 "--- ÐÅÒ×ÁÑ ðúó 100x100 (Steven Sasson, Kodak). + + 1976 "--- ÚÁÐÕÓË ÓÐÕÔÎÉËÁ--ÛÐÉÏÎÁ Ó ðúó 800x800. +\end{block} +\img[0.7]{ccdanatomy} +\end{columns} +\end{frame} + +\begin{frame}{} + \only<1>{\begin{block}{ôÁËÔÉÒÏ×ÁÎÉÅ ðúó}ôÒÅÈÆÁÚÎÏÅ\end{block} \img[0.7]{3phase}} + \only<2>{\begin{block}{ôÁËÔÉÒÏ×ÁÎÉÅ ðúó}ä×ÕÈÆÁÚÎÏÅ\end{block} \img[0.7]{2phase}} +\end{frame} + +\section{èÁÒÁËÔÅÒÉÓÔÉËÉ ÄÅÔÅËÔÏÒÏ×} +\subsection{èÁÒÁËÔÅÒÉÓÔÉËÉ ÄÅÔÅËÔÏÒÏ×} +\begin{frame}{èÁÒÁËÔÅÒÉÓÔÉËÉ ÄÅÔÅËÔÏÒÏ×} + \begin{block}{} + òÁÚÍÅÒ, ËÏÌÉÞÅÓÔ×Ï ÐÉËÓÅÌÅÊ (ËÁÎÁÌÏ×), ÞÕ×ÓÔ×ÉÔÅÌØÎÏÓÔØ × ÚÁ×ÉÓÉÍÏÓÔÉ ÏÔ ÄÌÉÎÙ ×ÏÌÎÙ + (Ë×ÁÎÔÏ×ÁÑ ÜÆÆÅËÔÉ×ÎÏÓÔØ) É ÄÏÓÔÕÐÎÙÊ ÓÐÅËÔÒÁÌØÎÙÊ ÄÉÁÐÁÚÏÎ, ÇÌÕÂÉÎÁ ÐÏÔÅÎÃÉÁÌØÎÏÊ ÑÍÙ, + ÄÉÎÁÍÉÞÅÓËÉÊ ÄÉÁÐÁÚÏÎ, ÌÉÎÅÊÎÏÓÔØ, ×ÒÅÍÅÎÎ\'ÏÅ ÒÁÚÒÅÛÅÎÉÅ, ×ÏÚÍÏÖÎÏÓÔØ ÒÁÂÏÔÙ × ÒÅÖÉÍÅ + ÓÞÅÔÁ ÆÏÔÏÎÏ×, ÛÕÍÏ×ÙÅ ÈÁÒÁËÔÅÒÉÓÔÉËÉ (ÔÅÍÎÏ×ÏÊ, ÓÞÉÔÙ×ÁÎÉÑ), ÓÔÁÂÉÌØÎÏÓÔØ, ÃÅÎÁ. + \end{block} + \begin{block}{ü×ÏÌÀÃÉÑ ÄÅÔÅËÔÏÒÏ×} + éÓÔÏÒÉÞÅÓËÁÑ Ü×ÏÌÀÃÉÑ: ÇÌÁÚ \Arr ÆÏÔÏÐÌÁÓÔÉÎËÁ \Arr ÏÄÎÏËÁÎÁÌØÎÙÅ ÆÏÔÏÜÌÅËÔÒÉÞÅÓËÉÅ + ÐÒÉÅÍÎÉËÉ \Arr ÓËÁÎÅÒÙ ÆÏÔÏÐÌÁÓÔÉÎÏË \Arr ÔÅÌÅ×ÉÚÉÏÎÎÙÅ ÓËÁÎÅÒÙ \Arr ÐÏÌÕÐÒÏ×ÏÄÎÉËÏ×ÙÅ + ÕÓÔÒÏÊÓÔ×Á (ÆÏÔÏÄÉÏÄÙ, ðúó, ËÏÍÐÏÚÉÔÎÙÅ éë ÐÒÉÅÍÎÉËÉ, ÂÏÌÏÍÅÔÒÙ, ÌÁ×ÉÎÎÙÅ ÆÏÔÏÄÉÏÄÙ, ëíïð) + \Arr ÕÓÔÒÏÊÓÔ×Á, ÉÚÍÅÒÑÀÝÉÅ ÜÎÅÒÇÉÀ ÆÏÔÏÎÁ (STJ "--- ÎÁ Ó×ÅÒÈÐÒÏ×ÏÄÑÝÉÈ ÔÕÎÎÅÌØÎÙÈ + ÐÅÒÅÈÏÄÁÈ, transition-edge sensor "--- ÐÏ×ÙÛÅÎÉÅ ÓÏÐÒÏÔÉ×ÌÅÎÉÑ Ó×ÅÈÐÒÏ×ÏÄÑÝÅÇÏ ÐÅÒÅÈÏÄÁ). + \end{block} +\end{frame} + +\begin{frame}{ë×ÁÎÔÏ×ÁÑ ÜÆÆÅËÔÉ×ÎÏÓÔØ ðúó} + \only<1>{QE "--- ÏÔÎÏÛÅÎÉÅ ËÏÌÉÞÅÓÔ×Á ÐÁÄÁÀÝÉÈ ÆÏÔÏÎÏ× Ë ÄÅÔÅËÔÉÒÕÅÍÙÍ.\img[0.85]{QE_PTGrey}} + \only<2>{\img[0.6]{quantumefficiencyfigure1}} +\end{frame} + +\begin{frame}{ìÉÎÅÊÎÏÓÔØ} + ìÉÎÅÊÎÏÓÔØ ðúó-ËÁÍÅÒÙ Apogee Alta 16M-HC (Kodak KAF-16803). + \img[0.5]{Apogee_linearity} + $\pm0.5\%$ ($2000\div40000$ ADU); $\pm1.0\%$ ($0\div45000$ ADU). +\end{frame} + +\begin{frame}{äÉÎÁÍÉÞÅÓËÉÊ ÄÉÁÐÁÚÏÎ} + \begin{columns} + \col{0.4}\begin{block}{} + íÁËÓÉÍÁÌØÎÙÊ ÒÁÚÍÁÈ ÕÒÏ×ÎÅÊ ÓÉÇÎÁÌÁ, ÐÒÉ ËÏÔÏÒÏÍ ÏÎ ÒÅÇÉÓÔÒÉÒÕÅÔÓÑ ÂÅÚ ÐÏÔÅÒØ.\\ + éÄÅÁÌ "--- ÂÅÓËÏÎÅÞÎÙÊ ÄÉÎÁÍÉÞÅÓËÉÊ ÄÉÁÐÁÚÏÎ. + \end{block} + \col{0.6}\img{bloomingfigure4} + \end{columns} +\end{frame} + +\begin{frame}{ðÒÏÓÔÒÁÎÓÔ×ÅÎÎÏÅ ÒÁÚÒÅÛÅÎÉÅ} + \begin{block}{}óÔÅÐÅÎØ ÄÅÔÁÌÉÚÁÃÉÉ ÉÚÏÂÒÁÖÅÎÉÑ ÚÁ×ÉÓÉÔ ÏÔ ÕÓÌÏ×ÉÊ ÎÁÂÌÀÄÅÎÉÑ, ÏÐÔÉËÉ + ÔÅÌÅÓËÏÐÁ É ÐÒÉÂÏÒÁ, ÒÁÚÍÅÒÁ ÐÉËÓÅÌÑ. + \end{block} + \img[0.72]{digitalimagingfigure2} +\end{frame} + +\begin{blueframe}{÷ÙÂÏÒ Ó×ÅÔÏÐÒÉÅÍÎÉËÁ ÐÏÄ ÍÁÓÛÔÁÂ} +\vspace*{-0.8em} +\begin{block}{}\centering + $5a\ge\Delta x \ge 2a,$ $S_{tel}=\dfrac{F_{tel}}{206265}\quad$. + âôá: $1/S=8.6''/$ÍÍ, $\Delta x_{1''}=116.36\,$ÍËÍ + + $a_{opt}=23.3\,$ÍËÍ. îÕÖÅÎ ÒÅÄÕËÔÏÒ $\sim2.5\,$ÒÁÚÁ! + $m = \dfrac{S_{cam}}{S_{tel}}=\dfrac{F_{cam}}{F_{coll}}<1$ +\end{block} +\img[0.9]{focal_reducer} +\end{blueframe} + +\section{ûÕÍÙ} +\begin{frame}{ûÕÍÙ}\vspace*{-0.5em} +\only<1>{ +\begin{columns} +\col{0.7} + \img[0.9]{Kodak_dark} +\col{0.3} +\begin{block}{} +÷ÙÈÏÄÎÏÊ ÓÉÇÎÁÌ ×ÓÅÇÄÁ ÏÔÌÉÞÁÅÔÓÑ ÏÔ ×ÈÏÄÎÏÇÏ: ÐÕÁÓÓÏÎÏ×Á ÓÔÁÔÉÓÔÉËÁ ÆÏÔÏÎÏ×, ÆÏÎ +ÎÅÂÁ, ÔÅÐÌÏ×ÏÊ (ÔÅÍÎÏ×ÏÊ) ÛÕÍ, ËÏÓÍÉÞÅÓËÉÅ ÞÁÓÔÉÃÙ, ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ É Ô.Ð. + +ôÅÍÎÏ×ÏÊ ÛÕÍ ÓÉÌØÎÏ ÚÁ×ÉÓÉÔ ÏÔ ÔÅÍÐÅÒÁÔÕÒÙ. +\end{block}\vspace*{-0.5em} +\end{columns}} +\only<2>{\img[0.55]{ccd_darkcur}} +\only<3>{ +\begin{block}{} + åÓÌÉ ÐÕÁÓÓÏÎÏ× ÛÕÍ ÆÏÔÏÎÏ× ÐÌÏÓËÏÇÏ ÐÏÌÑ ÐÒÅ×ÙÛÁÅÔ ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ, ÇÉÓÔÏÇÒÁÍÍÁ ÉÍÅÅÔ ÐÏÞÔÉ + ÇÁÕÓÓÏ×Õ + ÆÏÒÍÕ. + $$\sigma\ind{ADU}=\frac{\sqrt{\mean{F}\cdot G}}{G}$$ + $\sigma\ind{ADU}$~-- ÐÏÌÕÛÉÒÉÎÁ ÇÉÓÔÏÇÒÁÍÍÙ ÐÌÏÓËÏÇÏ ÐÏÌÑ, $\mean F$~-- ÓÒÅÄÎÉÊ ÕÒÏ×ÅÎØ + ÐÌÏÓËÏÇÏ, + $G$~-- gain (ËÏÜÆÆÉÃÉÅÎÔ ÐÒÅÏÂÒÁÚÏ×ÁÎÉÑ ÆÏÔÏÜÌÅËÔÒÏÎÏ× × ADU). + + ä×Á ËÁÄÒÁ bias ($B$) É ÐÌÏÓËÏÇÏ ($F$): + $$ + G = \frac{(\mean{F_1}+\mean{F_2}) - + (\mean{B_1}+\mean{B_2})}{\sigma^2_{F_1-F_2}-\sigma^2_{B_1-B_2}} + $$ + ûÕÍ ÓÞÉÔÙ×ÁÎÉÑ: + $$ + RN = \frac{G\cdot\sigma_{B_1-B_2}}{\sqrt2} + $$ +\end{block}} +\end{frame} + +\begin{frame}{} + \begin{block}{ëÏÒÒÅÌÉÒÏ×ÁÎÎÁÑ Ä×ÏÊÎÁÑ ×ÙÂÏÒËÁ} + \only<1>{îÁËÏÐÌÅÎÎÙÊ ËÁÖÄÙÍ ÐÉËÓÅÌÅÍ ÚÁÒÑÄ ÐÏ ÌÉÎÉÉ ÚÁÒÑÄÏ×ÏÊ Ó×ÑÚÉ ÐÅÒÅÍÅÝÁÅÔÓÑ × ×ÙÈÏÄÎÏÊ + ÔÒÁËÔ, + ÇÄÅ ÐÒÅÏÂÒÁÚÕÅÔÓÑ × ÎÁÐÒÑÖÅÎÉÅ. ðÅÒÅÄ ÓÞÉÔÙ×ÁÎÉÅÍ ÏÞÅÒÅÄÎÏÇÏ ÚÁÒÑÄÁ ÔÒÁËÔ ÓÂÒÁÓÙ×ÁÅÔÓÑ, + ÞÔÏ + Õ×ÅÌÉÞÉ×ÁÅÔ ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ.} + \only<2>{äë÷ ×ÙÞÉÓÌÑÅÔ ÕÒÏ×ÅÎØ ÐÏÌÅÚÎÏÇÏ ÓÉÇÎÁÌÁ ÏÔÎÏÓÉÔÅÌØÎÏ ÓÍÅÝÅÎÉÑ. ðÅÒ×ÁÑ ×ÙÂÏÒËÁ + ÓÎÉÍÁÅÔÓÑ + ÓÒÁÚÕ ÐÏÓÌÅ ÓÂÒÏÓÁ ×ÙÈÏÄÎÏÇÏ ÔÒÁËÔÁ ðúó. ÷ÔÏÒÁÑ~--- ÐÏ ÏËÏÎÞÁÎÉÉ ÐÅÒÅÎÏÓÁ ÏÞÅÒÅÄÎÏÇÏ + ÚÁÒÑÄÁ. + òÅÁÌÉÚÕÅÔÓÑ ÐÒÉ ÐÏÍÏÝÉ ÕÓÉÌÉÔÅÌÅÊ <<×ÙÂÏÒËÁ--ÕÄÅÒÖÁÎÉÅ>>, sample-and-hold amplifier. + úÎÁÞÉÔÅÌØÎÏ + ÓÎÉÖÁÅÔ ÕÒÏ×ÅÎØ ËÏÒÒÅÌÉÒÏ×ÁÎÎÙÈ ÛÕÍÏ×.} + \end{block} + \only<1>{\img[0.5]{corrs1}} + \only<2>{\img[0.5]{corrs2}} +\end{frame} + +\begin{frame}{} +\begin{block}{÷ËÒÁÔÃÅ Ï ðúó} +\begin{itemize} + \item äÌÑ ÐÏ×ÙÛÅÎÉÑ ÜÆÆÅËÔÉ×ÎÏÓÔÉ ÔÏÌÝÉÎÁ ÒÁÂÏÞÅÇÏ ÓÌÏÑ ðúó ÄÏÌÖÎÁ ÂÙÔØ ÎÅ ÂÏÌØÛÅ ÐÏÄÌÏÖËÉ + n-ÔÉÐÁ, + back-illuminated. õÓÌÏÖÎÅÎÉÅ ÔÅÈÐÒÏÃÅÓÓÁ, ÕÄÏÒÏÖÁÎÉÅ. + \item çÌÕÂÏËÏÅ ÏÈÌÁÖÄÅÎÉÅ ÞÉÐÁ: ÐÒÉ $-80\degr$C Ó ÒÏÓÔÏÍ ÔÅÍÐÅÒÁÔÕÒÙ ÎÁ $\sim7\degr$C ÔÅÍÎÏ×ÏÊ + ÛÕÍ + Õ×ÅÌÉÞÉ×ÁÅÔÓÑ × Ä×Á ÒÁÚÁ. + \item ëÒÅÍÎÉÅ×ÁÑ ÐÏÄÌÏÖËÁ ÉÍÅÅÔ ËÒÁÓÎÕÀ ÇÒÁÎÉÃÕ ÎÁ $\sim1.1\,$ÍËÍ, × éë Ó×ÅÔÏÐÒÉÅÍÎÉËÉ Ó + ËÒÅÍÎÉÅ×ÙÍÉ ÐÏÄÌÏÖËÁÍÉ ÎÅ ÂÕÄÕÔ ÒÁÂÏÔÁÔØ. + \item õÔÏÎÞÅÎÉÅ ÞÉÐÁ ÐÒÉ×ÏÄÉÔ Ë ÒÏÓÔÕ ÐÒÏÚÒÁÞÎÏÓÔÉ ÄÌÑ ÂÏÌØÛÉÈ ÄÌÉÎ ×ÏÌÎ É ÐÏÑ×ÌÅÎÉÀ ÆÒÉÎÇÏ×. + \item âÏÌØÛÏÊ ÐÒÏÂÌÅÍÏÊ Ñ×ÌÑÅÔÓÑ ÒÁÓÔÅËÁÎÉÅ ÚÁÒÑÄÁ Ó ÐÅÒÅÜËÓÐÏÎÉÒÏ×ÁÎÎÙÈ ÐÉËÓÅÌÅÊ. + \item ðúó ÎÅ×ÏÚÍÏÖÎÏ ÏÓÎÁÓÔÉÔØ <<ÜÌÅËÔÒÏÎÎÙÍ>> ÚÁÔ×ÏÒÏÍ, ÉÈ ÚÁÔ×ÏÒ ÍÅÈÁÎÉÞÅÓËÉÊ. + \item äÅÆÅËÔÙ ÐÏÄÌÏÖËÉ ÐÒÉ×ÏÄÑÔ Ë ÐÏÑ×ÌÅÎÉÀ <<ÇÏÒÑÞÉÈ>> É <<ÐÌÏÈÉÈ>> ÐÉËÓÅÌÅÊ. + \item ðÏÓÔÏÑÎÎÏÅ ×ÏÚÄÅÊÓÔ×ÉÅ ËÏÓÍÉÞÅÓËÉÈ ÞÁÓÔÉà ×ÙÚÙ×ÁÅÔ ÎÅÏÂÒÁÔÉÍÕÀ ÄÅÇÒÁÄÁÃÉÀ. +\end{itemize} +\end{block} +\end{frame} + +\section{ðÅÒ×ÉÞÎÁÑ ÏÂÒÁÂÏÔËÁ ÓÎÉÍËÏ×} +\begin{frame}{ðÅÒ×ÉÞÎÁÑ ÏÂÒÁÂÏÔËÁ ÓÎÉÍËÏ×} +\begin{block}{} +\Ö ë×ÁÎÔÏ×ÁÑ ÜÆÆÅËÔÉ×ÎÏÓÔØ\Î: $\mathrm{QE} = N_\e/N_\gamma$. \Ö ÷ÙÈÏÄÎÏÊ ÓÉÇÎÁÌ:\Î $S$ (ADU). +ëÏÜÆÆÉÃÉÅÎÔ ÕÓÉÌÅÎÉÑ (\Ö gain\Î): $\mathrm{gain}=N_\e/S$. +õÒÏ×ÅÎØ ÓÍÅÝÅÎÉÑ (\Ö bias\Î)~--- ÉÎÖÅËÔÉÒÕÅÍÙÊ ÚÁÒÑÄ ÄÌÑ ×Ù×ÏÄÁ ËÒÉ×ÏÊ ÞÕ×ÓÔ×ÉÔÅÌØÎÏÓÔÉ ÎÁ ÌÉÎÅÊÎÙÊ +ÕÞÁÓÔÏË \Arr $N_\e = N_{\e bias} + N_{\e object}$, $S = S_{bias} + S_{object}$. + +ô.Å. $N_\gamma=\mathrm{gain}\cdot S_{object}/\mathrm{QE}$. + +\Ö ûÕÍ ÓÞÉÔÙ×ÁÎÉÑ\Î ÓËÌÁÄÙ×ÁÅÔÓÑ ÉÚ ÛÕÍÏ× ÐÅÒÅÎÏÓÁ ÚÁÒÑÄÁ É ÛÕÍÁ ÕÓÉÌÉÔÅÌÑ. + +ëÁÄÒ ÓÍÅÝÅÎÉÑ, bias, ÐÏÌÕÞÁÅÔÓÑ ÄÌÑ ËÏÒÒÅËÃÉÉ ÓÉÇÎÁÌÁ ÎÁ ÉÎÖÅËÔÉÒÕÅÍÙÊ ÎÕÌÅ×ÏÊ ÚÁÒÑÄ, ÐÏÚ×ÏÌÑÅÔ +ÏÐÒÅÄÅÌÉÔØ ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ. äÌÑ ÓÎÉÖÅÎÉÑ +ÛÕÍÏ× ÒÅËÏÍÅÎÄÕÅÔÓÑ ÐÏÌÕÞÁÔØ ÍÅÄÉÁÎÕ ËÁË ÍÏÖÎÏ ÂÏÌØÛÅÇÏ ËÏÌÉÞÅÓÔ×Á ËÁÄÒÏ×. + +ôÅÍÎÏ×ÏÊ ËÁÄÒ, \Ö dark\Î, (Ó ÚÁËÒÙÔÏÊ ÄÉÁÆÒÁÇÍÏÊ) ÓÏÄÅÒÖÉÔ ÉÎÆÏÒÍÁÃÉÀ Ï ÔÅÍÎÏ×ÙÈ ÛÕÍÁÈ. + +ðÌÏÓËÏÅ ÐÏÌÅ, \Ö flat\Î, ÎÅÏÂÈÏÄÉÍÏ ÄÌÑ ËÏÒÒÅËÃÉÉ ×ÉÎØÅÔÉÒÏ×ÁÎÉÑ É ÎÅÏÄÎÏÒÏÄÎÏÓÔÅÊ ÏÐÔÉÞÅÓËÉÈ +ÓÉÓÔÅÍ. ïÔÒÁÖÁÅÔ ÐÏÐÉËÓÅÌØÎÕÀ ÎÅÏÄÎÏÒÏÄÎÏÓÔØ ÞÕ×ÓÔ×ÉÔÅÌØÎÏÓÔÉ. + +\Ö âÉÎÎÉÎÇ\Î. óÌÏÖÅÎÉÅ ÐÒÏÉÓÈÏÄÉÔ ÄÏ áãð, ÐÏÜÔÏÍÕ Õ×ÅÌÉÞÉ×ÁÅÔÓÑ ÐÏÌÅÚÎÙÊ ÓÉÇÎÁÌ × N ÒÁÚ ÐÒÉ ÔÏÍ ÖÅ +ÕÒÏ×ÎÅ ÛÕÍÁ, Ô.Å. ×ÌÉÑÎÉÅ ÛÕÍÁ ÓÞÉÔÙ×ÁÎÉÑ ÓÎÉÖÁÅÔÓÑ. õ×ÅÌÉÞÅÎÉÅ ÓËÏÒÏÓÔÉ ÓÞÉÔÙ×ÁÎÉÑ É ÕÒÏ×ÎÑ +ÓÉÇÎÁÌÁ (ÎÏ ÕÍÅÎØÛÅÎÉÅ ÒÁÚÒÅÛÅÎÉÑ). + +\Ö Overscan\Î~--- ÓÌÕÖÅÂÎÁÑ (ÎÅ ÚÁÓ×ÅÞÉ×ÁÅÍÁÑ) ÏÂÌÁÓÔØ ðúó, ÐÏÚ×ÏÌÑÅÔ ÇÒÕÂÏ ÏÃÅÎÉ×ÁÔØ bias ÂÅÚ +ÐÏÌÕÞÅÎÉÑ ÏÔÄÅÌØÎÏÇÏ ËÁÄÒÁ. +\end{block} +\end{frame} + +\begin{frame} +\begin{block}{óÉÇÎÁÌ-ÛÕÍ} + ÷ ÏÂÝÅÍ ÓÌÕÞÁÅ + $$\mathrm{SNR}=N_*\cdot\left[N_*+n_{pix}\Bigl(1+\cfrac{n_{pix}}{n_B}\Bigr) + \bigl(N_S+N_D+N^2_R+G^2\sigma^2_f\bigr)\right]^{-1/2}, + $$ + $N_*$~-- ËÏÌÉÞÅÓÔ×Ï ÆÏÔÏÎÏ× ÏÔ ÏÂßÅËÔÁ; $n_{pix}$~-- ËÏÌÉÞÅÓÔ×Ï ÐÉËÓÅÌÅÊ ÄÌÑ ×ÙÞÉÓÌÅÎÉÑ SNR; + $n_B$~-- + ËÏÌÉÞÅÓÔ×Ï ÐÉËÓÅÌÅÊ ÄÌÑ ÏÃÅÎËÉ ÆÏÎÁ; $N_S$~-- ËÏÌÉÞÅÓÔ×Ï ÆÏÎÏ×ÙÈ ÆÏÔÏÎÏ× ÎÁ ÐÉËÓÅÌØ; $N_D$~-- + ËÏÌÉÞÅÓÔ×Ï + ÔÅÍÎÏ×ÙÈ ÆÏÔÏÎÏ× ÎÁ ÐÉËÓÅÌØ; $N^2_R$~-- ËÏÌÉÞÅÓÔ×Ï ÜÌÅËÔÒÏÎÏ× ÎÁ ÐÉËÓÅÌØ ×ÓÌÅÄÓÔ×ÉÅ ÛÕÍÁ + ÓÞÉÔÙ×ÁÎÉÑ; $G$~-- + gain; $\sigma_f\approx0.289$~-- ÏÛÉÂËÁ Ë×ÁÎÔÏ×ÁÎÉÑ, ×ÎÏÓÉÍÁÑ áãð. åÓÌÉ $G$~ÎÅ×ÅÌÉË, + $n_B$~×ÅÌÉËÏ, ÞÁÓÔØ + ÞÌÅÎÏ× ÍÏÖÎÏ ÏÐÕÓÔÉÔØ. ðÏ ×ÒÅÍÅÎÉ ÜËÓÐÏÚÉÃÉÉ: + $$\mathrm{SNR}=Nt\cdot\bigl[Nt+n_{pix}(N_St+N_Dt+N^2_R)\bigr]^{-1/2}, + $$ + Ô.Å. $\mathrm{SNR}\propto\sqrt{t}$. äÌÑ ÑÒËÉÈ ÉÓÔÏÞÎÉËÏ× $\mathrm{SNR}\propto\sqrt{Nt}$. +\end{block} +\end{frame} + +\begin{frame} +\begin{block}{ðÅÒ×ÉÞÎÁÑ ÒÅÄÕËÃÉÑ} +\only<1>{ +éÔÁË, ÞÔÏÂÙ × ÎÕÌÅ×ÏÍ ÐÒÉÂÌÉÖÅÎÉÉ ÉÚÂÁ×ÉÔØÓÑ ÏÔ ×ÌÉÑÎÉÑ ÎÁ ÓÉÇÎÁÌ ÏÐÔÉÞÅÓËÏÊ ÓÉÓÔÅÍÙ É ðúó, +ÎÅÏÂÈÏÄÉÍÏ ×ÙÐÏÌÎÉÔØ ÓÌÅÄÕÀÝÅÅ: +$$S_0=\frac{S-D}{(F-D)_{norm}},$$ +ÇÄÅ $S$~-- object, $D$~-- dark, $F$~-- flat, $norm$~-- ÎÏÒÍÉÒÏ×ËÁ ÎÁ ÅÄÉÎÉÃÕ. ÷ ÓÌÕÞÁÅ ÏÞÅÎØ +ÂÏÌØÛÉÈ ÜËÓÐÏÚÉÃÉÊ object (ÞÁÓ É ×ÙÛÅ), ÎÅ×ÏÚÍÏÖÎÏ ÐÏÌÕÞÉÔØ ÈÏÔÑ ÂÙ ÐÁÒÕ ÄÅÓÑÔËÏ× ËÁÄÒÏ× dark × ÔÅÈ +ÖÅ ÕÓÌÏ×ÉÑÈ É ÄÏ ÓÌÅÄÕÀÝÅÊ ÎÏÞÉ ÎÁÂÌÀÄÅÎÉÊ. ÷ ÜÔÏÍ ÓÌÕÞÁÅ ÉÓÐÏÌØÚÕÀÔ Ô.Î. superdark, $SD$~--- +ÜËÓÔÒÁÐÏÌÑÃÉÀ ÌÉÎÅÁÒÉÚÏ×ÁÎÎÏÊ íîë ÚÁ×ÉÓÉÍÏÓÔÉ $\{D(t)-B\}$, ÇÄÅ $B$~-- bias: +$$S_0=\frac{S-B-SD\cdot t_S}{(F-D_F)_{norm}},$$ +ÚÄÅÓØ, Ô.Ë. flat ÏÂÙÞÎÏ ÉÍÅÅÔ ÎÅÂÏÌØÛÕÀ ÜËÓÐÏÚÉÃÉÀ, ÎÅÓÌÏÖÎÏ ÎÁËÏÐÉÔØ ÄÌÑ ÎÉÈ <<ÞÅÓÔÎÙÅ>> ÔÅÍÎÏ×ÙÅ. +}\only<2>{ +äÌÑ ËÁÖÄÏÊ ÎÏÞÉ ÎÁÂÌÀÄÅÎÉÊ ÐÒÉ ËÏÒÏÔËÉÈ ÜËÓÐÏÚÉÃÉÑÈ <<ÎÁÕÞÎÙÈ ËÁÄÒÏ×>> ÎÅÏÂÈÏÄÉÍÏ: +\begin{enumerate} +\item $30\div100$ dark frames; +\item $30\div100$ flatfields. +\end{enumerate} +÷ ÓÌÕÞÅ ÓÌÉÛËÏÍ ÄÌÉÎÎÙÈ ÜËÓÐÏÚÉÃÉÊ, ÎÅÏÂÈÏÄÉÍÏ: +\begin{enumerate} +\item $10\div20$ bias frames; +\item ÎÅ ÍÅÎØÛÅ 10 dark frames ÎÁ ËÁÖÄÕÀ ÉÚ ÍÉÎÉÍÕÍ 10 ÜËÓÐÏÚÉÃÉÊ; +\item ÏËÏÌÏ 30 dark frames Ó ÜËÓÐÏÚÉÃÉÅÊ flatfield; +\item $30\div100$ flatfields. +\end{enumerate} +} +\end{block} +\end{frame} + +\section{ðÏÌÕÞÅÎÉÅ ÈÁÒÁËÔÅÒÉÓÔÉË ðúó} +\begin{frame}{ðÏÌÕÞÅÎÉÅ ÈÁÒÁËÔÅÒÉÓÔÉË ðúó} +\begin{block}{} +\only<1>{ +ïÂÏÚÎÁÞÉÍ gain ËÁË $G$. $N_\e=G\cdot S$. ÷ÙÒÁÖÅÎÎÕÀ × ÜÌÅËÔÒÏÎÁÈ, ÄÉÓÐÅÒÓÉÀ ÐÏÌÎÏÇÏ ÛÕÍÁ <<ÐÌÏÓËÏÇÏ +ÐÏÌÑ>>, ÐÏÌÕÞÅÎÎÏÇÏ × ÌÁÂÏÒÁÔÏÒÉÉ ÎÁ ÕÓÌÏ×ÎÏ ÉÄÅÁÌØÎÏÍ ÉÓÔÏÞÎÉËÅ ÏÓ×ÅÝÅÎÉÑ ÍÏÖÎÏ ÚÁÐÉÓÁÔØ ËÁË +$$\sigma^2 = \sigma^2_\gamma + R^2 + \sigma^2_{CCD},$$ +ÇÄÅ $\sigma_\gamma$~-- ÆÏÔÏÎÎÙÊ ÛÕÍ, $R$~-- ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ, $\sigma_{CCD}$~-- ÐÒÏÞÉÅ ÛÕÍÙ ðúó +(ÎÅÏÄÎÏÒÏÄÎÏÓÔØ ÞÕ×ÓÔ×ÉÔÅÌØÎÏÓÔÉ ÐÉËÓÅÌÅÊ É Ô.Ð.). éÚÂÁ×ÉÔØÓÑ ÏÔ ÐÏÓÌÅÄÎÅÇÏ ÞÌÅÎÁ ÍÙ ÍÏÖÅÍ, +ÉÓÐÏÌØÚÕÑ ÒÁÚÎÏÓÔØ Ä×ÕÈ ÉÚÏÂÒÁÖÅÎÉÊ Ó ÏÄÉÎÁËÏ×ÙÍÉ ÜËÓÐÏÚÉÃÉÑÍÉ, ÎÏ × ÜÔÏÍ ÓÌÕÞÁÅ ÐÏÌÕÞÅÎÎÕÀ +ÄÉÓÐÅÒÓÉÀ ÓÌÅÄÕÅÔ ÒÁÚÄÅÌÉÔØ ÎÁ Ä×Á. äÁÎÎÁÑ ÏÐÅÒÁÃÉÑ ÐÏÍÏÖÅÔ ÔÁËÖÅ ÉÚÂÁ×ÉÔØÓÑ ÏÔ ÁÄÄÉÔÉ×ÎÏÊ ÄÏÂÁ×ËÉ +Ë $S$, ×ÙÚ×ÁÎÎÏÊ bias É ÔÅÍÎÏ×ÙÍ ÔÏËÏÍ. + +ô.Ë. ÆÏÔÏÎÎÙÊ ÛÕÍ ÐÒÏÐÏÒÃÉÏÎÁÌÅÎ ËÏÒÎÀ ÉÚ ÓÉÇÎÁÌÁ, × ADU ÐÏÌÕÞÉÍ: +$\sigma^2=S/G + R^2_{ADU}$. ÷ÙÄÅÌÉÍ ÏÂÌÁÓÔØ × ÎÅÓËÏÌØËÏ ÄÅÓÑÔËÏ× ÔÙÓÑÞ Ë×ÁÄÒÁÔÎÙÈ ÐÉËÓÅÌÅÊ ÎÁ +ÉÚÏÂÒÁÖÅÎÉÉ × ÚÏÎÅ, ÇÄÅ ÕÒÏ×ÅÎØ ÏÓ×ÅÝÅÎÎÏÓÔÉ ÍÏÖÎÏ ÁÐÐÒÏËÓÉÍÉÒÏ×ÁÔØ ÇÏÒÉÚÏÎÔÁÌØÎÏÊ ÐÌÏÓËÏÓÔØÀ Ó +×ÙÓÏËÏÊ ÔÏÞÎÏÓÔØÀ. +}\only<2>{ +ðÏÌÕÞÉÍ: +$$\sigma^2 = \frac{\sum \bigl(S_1(x,y)-S_x(x,y)\bigr)^2}{2(N-1)},$$ +ÇÄÅ $N$~-- ËÏÌÉÞÅÓÔ×Ï ÐÉËÓÅÌÅÊ. óÒÅÄÎÉÊ ÕÒÏ×ÅÎØ ÏÂÏÚÎÁÞÉÍ ËÁË $S=(S_1+S_2)/2$. + +ïÐÒÅÄÅÌÅÎÉÅ $\sigma^2$ É $\aver{S}$ ÎÅÏÂÈÏÄÉÍÏ ÐÒÏ×ÅÓÔÉ ÄÌÑ ËÁË ÍÏÖÎÏ ÂÏÌØÛÅÇÏ ÚÎÁÞÅÎÉÑ ÒÁÚÎÙÈ +×ÒÅÍÅÎ ÜËÓÐÏÚÉÃÉÉ. +äÁÌÅÅ ÍÏÖÎÏ ÐÏÓÔÒÏÉÔØ ÚÁ×ÉÓÉÍÏÓÔØ +$$\sigma^2 = S/G + R^2_{ADU},$$ +ÌÉÎÅÊÎÏ ÅÅ ÁÐÐÒÏËÓÉÍÉÒÏ×ÁÔØ Ë ×ÉÄÕ $\sigma^2=a\cdot S + b$ É ÐÏÌÕÞÉÔØ ÚÎÁÞÅÎÉÑ $G=1/a$, +$R=G\cdot\sqrt{b}$. +} +\end{block} +\end{frame} + +\section{æÏÔÏÍÅÔÒÉÑ} +\begin{frame}{æÏÔÏÍÅÔÒÉÑ} +\begin{columns} +\column{0.45\textwidth} +\begin{block}{ðÒÉÎÃÉÐÙ ÆÏÔÏÍÅÔÒÉÉ} +òÁÓÐÒÅÄÅÌÅÎÉÅ Ó×ÅÔÁ ÏÔ Ú×ÅÚÄÙ ÍÅÖÄÕ ÐÉËÓÅÌÑÍÉ ÎÅÏÄÎÏÒÏÄÎÏÅ, ÚÁÛÕÍÌÅÎÎÏÅ. +äÌÑ ÉÚÍÅÒÅÎÉÑ ÐÏÌÎÏÇÏ ÐÏÔÏËÁ ÏÔ Ú×ÅÚÄÙ, ÎÅÏÂÈÏÄÉÍÏ: +\begin{itemize} +\item ÏÐÒÅÄÅÌÉÔØ ÐÏÌÏÖÅÎÉÅ Ú×ÅÚÄÙ ÎÁ ÉÚÏÂÒÁÖÅÎÉÉ; +\item ÐÒÉ ÐÏÍÏÝÉ ÍÁÓËÉ ×ÙÂÒÁÔØ ÔÅ ÐÉËÓÅÌÉ, ËÏÔÏÒÙÅ ÐÒÉÎÁÄÌÅÖÁÔ ÉÚÏÂÒÁÖÅÎÉÀ ÉÍÅÎÎÏ ÜÔÏÊ Ú×ÅÚÄÙ; +\item ÐÒÏÓÕÍÍÉÒÏ×ÁÔØ ÓÉÇÎÁÌ ÚÁ ×ÙÞÅÔÏÍ ÆÏÎÁ. +\end{itemize} +\end{block} +\column{0.45\textwidth} +\begin{block}{ãÅÎÔÒÏÉÄ} +$$\mean{x}=\frac{\sum x_i I_i}{\sum I_i},\quad \mean{y}=\frac{\sum y_i I_i}{\sum I_i}, \quad +I_i = S_i - B.$$ +\end{block} +\end{columns} +\end{frame} + +\begin{frame} +\begin{block}{áÐÅÒÔÕÒÎÁÑ ÆÏÔÏÍÅÔÒÉÑ} +ðÒÏÂÌÅÍÁ: ÏÐÒÅÄÅÌÉÔØ ÒÁÄÉÕÓÙ ÁÐÅÒÔÕÒ (Ú×ÅÚÄÙ É ÆÏÎÁ). +\end{block} +\img[0.9]{apert} +\end{frame} + +\begin{frame} +\begin{columns} +\column{0.45\textwidth} +\img{starphotom} +\column{0.52\textwidth} +\begin{block}{íÏÄÅÌØ ÁÐÅÒÔÕÒÎÏÊ ÆÏÔÏÍÅÔÒÉÉ} +ðÁÒÁÍÅÔÒÙ Ú×ÅÚÄÙ: ÕÒÏ×ÅÎØ ÓÉÇÎÁÌÁ, ËÏÏÒÄÉÎÁÔÙ ÃÅÎÔÒÁ, ÐÏÌÕÛÉÒÉÎÁ. + +ðÁÒÁÍÅÔÒÙ ÆÏÎÁ: ÓÒÅÄÎÉÊ ÕÒÏ×ÅÎØ ÓÉÇÎÁÌÁ, $B$. + +ðÁÒÁÍÅÔÒÙ Ó×ÅÔÏÐÒÉÅÍÎÉËÁ: Ë×ÁÎÔÏ×ÁÑ ÜÆÆÅËÔÉ×ÎÏÓÔØ, ÛÕÍÙ. + +òÁÄÉÕÓÙ ÁÐÅÒÔÕÒ: $r_1$, $r_2$, $r_3$. +\end{block} +\end{columns} +\end{frame} + +\begin{frame} +\begin{block}{ïÓÎÏ×ÎÙÅ ×ÙÒÁÖÅÎÉÑ} +$S = F+B+Q+E$, ÇÄÅ $S$~-- ÎÁËÏÐÌÅÎÎÙÊ ÓÉÇÎÁÌ, $F$~-- ÓÉÇÎÁÌ ÏÔ Ú×ÅÚÄÙ, $B$~-- ÆÏÎ, $Q$~-- ÔÅÍÎÏ×ÏÊ +ÔÏË, $E$~-- bias. + +óÕÍÍÁÒÎÙÊ ÓÉÇÎÁÌ ÏÔ Ú×ÅÚÄÙ: $F_\Sigma = \sum F_i=\sum(S_i-[B_i+Q_i+E_i])$. + +ûÕÍ: $\sigma^2=F_\Sigma + N(\mean{B}+\mean{Q}+\sigma^2_{RO})+\sigma^2_{sky}$, $N$~-- ËÏÌÉÞÅÓÔ×Ï +ÐÉËÓÅÌÅÊ ÍÁÓËÉ Ú×ÅÚÄÙ, $\sigma^2_{RO}$~-- ÛÕÍ ÓÞÉÔÙ×ÁÎÉÑ. ðÅÒ×ÙÊ ÞÌÅÎ ÏÔÒÁÖÁÅÔ ÚÁ×ÉÓÉÍÏÓÔØ +ÐÕÁÓÓÏÎÏ×ÓËÏÇÏ ÛÕÍÁ ÏÔ ÕÒÏ×ÎÑ ÓÉÇÎÁÌÁ. $\sigma^2_{sky}=N(\mean{B}+\mean{Q}+\sigma^2_{RO})/N_{sky}$, +$N_{sky}$~-- ËÏÌÉÞÅÓÔ×Ï ÐÉËÓÅÌÅÊ × ÍÁÓËÅ ÆÏÎÁ. + +$\mathrm{SNR}=F_\Sigma/\sigma$. þÅÍ ÓÌÁÂÅÅ Ú×ÅÚÄÁ, ÞÅÍ ÂÏÌØÛÅ ÕÒÏ×ÅÎØ ÆÏÎÁ, ÞÅÍ ÂÏÌØÛÅ~$N$ É +ÍÅÎØÛÅ~$N_{sky}$, ÔÅÍ ÈÕÄÛÉÍ ÂÕÄÅÔ SNR. +\end{block} +\end{frame} + +\begin{frame} +\begin{columns} +\column{0.57\textwidth} +\img{starprofile} +\column{0.4\textwidth} +\begin{block}{ðÒÏÆÉÌÉ Ú×ÅÚÄ} +óÒÅÄÎÉÊ ÐÏ ÉÚÏÂÒÁÖÅÎÉÀ ÐÒÏÆÉÌØ ÐÏÚ×ÏÌÑÅÔ ÏÃÅÎÉÔØ ÒÁÄÉÕÓÙ ÁÐÅÒÔÕÒ. ôÁËÖÅ ÐÏÍÏÖÅÔ ÐÒÉ ÁÐÅÒÔÕÒÎÏÊ +ËÏÒÒÅËÃÉÉ. + +ïÛÉÂËÁ ÏÐÒÅÄÅÌÅÎÉÑ Ú×ÅÚÄÎÏÊ ×ÅÌÉÞÉÎÙ: $\sigma_m=1.0857/\mathrm{SNR}$. +\end{block} +\end{columns} +\end{frame} + +\section{áÓÔÒÏÍÅÔÒÉÑ} +\begin{frame}{áÓÔÒÏÍÅÔÒÉÑ} +\begin{columns} +\column{0.57\textwidth} +\img{diffastrometry} +\column{0.4\textwidth} +\begin{block}{} +áÓÔÒÏÍÅÔÒÉÑ ÐÏÚ×ÏÌÑÅÔ ÉÚÍÅÒÉÔØ ÔÏÞÎÙÅ ËÏÏÒÄÉÎÁÔÙ Ú×ÅÚÄ ÎÁ ÎÅÂÅ, Á ÔÁËÖÅ ÏÐÒÅÄÅÌÉÔØ ÉÈ ÐÁÒÁÌÌÁËÓÙ É +ÓÏÂÓÔ×ÅÎÎÙÅ Ä×ÉÖÅÎÉÑ. ðÅÒ×ÙÊ ËÁÔÁÌÏÇ~--- çÉÐÐÁÒÈ, ÔÏÞÎÏÓÔØ ÎÅ ×ÙÛÅ~$1\degr$. íÉËÒÏÓÅËÕÎÄÎÏÊ +ÔÏÞÎÏÓÔÉ ÄÏÓÔÉÇ ÚÁÐÕÝÅÎÎÙÊ × 1989\,Ç. ËÏÓÍÉÞÅÓËÉÊ ÔÅÌÅÓËÏÐ HIPPARCOS. + +ôÏÞÎÏÓÔØ GAIA~--- $0.00002''$ ($20\mu as$)~--- ÔÏÌÝÉÎÁ ÞÅÌÏ×ÅÞÅÓËÏÇÏ ×ÏÌÏÓÁ Ó ÒÁÓÓÔÏÑÎÉÑ × 1000\,ËÍ! +\end{block} +\end{columns} +\end{frame} + +\begin{frame}{} +\begin{block}{ëÁÔÁÌÏÇÉ} +\begin{enumerate} +\item \textbf{HIPPARCOS}~--- Ú×ÅÚÄÙ ÄÏ $m_V=7.3^m$, ÔÏÞÎÏÓÔØ ÁÓÔÒÏÍÅÔÒÉÉ ÄÏ $1\div3\,$mas. +\item \textbf{TYCHO-2}~--- ÄÏ $m_V=11^m$, ÔÏÞÎÏÓÔØ $10\div100\,$mas. +\item \textbf{USNO B 1.0}~--- ÄÏ $m_V=21^m$, ÆÏÔÏÍÅÔÒÉÞÅÓËÉÊ ËÁÔÁÌÏÇ Ó ÔÏÞÎÏÓÔØÀ ÄÏ $0^m.3$. +\item \textbf{2MASS}~--- 470~ÍÉÌÌÉÏÎÏ× ÏÂßÅËÔÏ×, ÔÏÞÎÏÓÔØ ÄÏ $70\,$mas. +\item \textbf{SDSS}~--- ÆÏÔÏÍÅÔÒÉÞÅÓËÉÊ ËÁÔÁÌÏÇ ÞÅÔ×ÅÒÔÉ ÎÅÂÁ × ÐÑÔÉ ÆÉÌØÔÒÁÈ, 287~ÍÉÌÌÉÏÎÏ× +ÏÂßÅËÔÏ×. +\end{enumerate} +\end{block} +\end{frame} + +\begin{frame}{} +\vspace*{-1em} +\begin{columns} +\column{0.5\textwidth} +\img{WCSfits} +\column{0.48\textwidth} +\begin{block}{WCS} +WCS~--- World Coordinate System. ICRS~--- International Celestial Reference System (ÐÒÉ×ÑÚËÁ Ë +ÂÁÒÉÃÅÎÔÒÕ óÏÌÎÅÞÎÏÊ ÓÉÓÔÅÍÙ). +ëÌÀÞÅ×ÙÅ ÓÌÏ×Á WCS × FITS--ÛÁÐËÅ ÐÏÚ×ÏÌÑÀÔ ÏÓÕÝÅÓÔ×ÉÔØ ÏÄÎÏÚÎÁÞÎÕÀ ÐÒÉ×ÑÚËÕ ÐÉËÓÅÌØÎÙÈ ËÏÏÒÄÉÎÁÔ Ë +ÍÉÒÏ×ÙÍ (É ÏÂÒÁÔÎÏ). äÌÑ ÌÉÎÅÊÎÙÈ ÐÒÅÏÂÒÁÚÏ×ÁÎÉÊ: \textbf{CTYPEi}~-- ÔÉÐ ÏÓÉ, \textbf{CRPIXi}~-- +ÏÐÏÒÎÙÊ ÐÉËÓÅÌØ (× ÐÉËÓÅÌØÎÙÈ ËÏÏÒÄÉÎÁÔÁÈ), \textbf{CRVALi}~-- ÚÎÁÞÅÎÉÅ ÍÉÒÏ×ÙÈ ËÏÏÒÄÉÎÁÔ × ÜÔÏÍ +ÐÉËÓÅÌÅ (1~-- $\alpha$, 2~-- $\delta$), \textbf{CDi\_j}~-- ÍÁÔÒÉÃÁ ËÏÜÆÆÉÃÉÅÎÔÏ×, ÏÐÉÓÙ×ÁÀÝÉÈ +ÐÏ×ÏÒÏÔ ÏÓÅÊ É ÍÁÓÛÔÁÂ, \textbf{CUNITi}~-- ÅÄÉÎÉÃÙ ÉÚÍÅÒÅÎÉÑ ÐÏ ÄÁÎÎÏÊ ÏÓÉ. +\end{block} +\end{columns} +\end{frame} + +\begin{frame}{astrometry.net} +\img[0.6]{astrometrynet} +\end{frame} + +\begin{frame}{óÐÁÓÉÂÏ ÚÁ ×ÎÉÍÁÎÉÅ!} +\centering +\begin{minipage}{5cm} +\begin{block}{mailto} +eddy@sao.ru\\ +edward.emelianoff@gmail.com +\end{block}\end{minipage} +\end{frame} +\end{document} diff --git a/Komp_obr_SFedU/additional/lect.sty b/Komp_obr_SFedU/additional/lect.sty new file mode 100644 index 0000000..4b28f66 --- /dev/null +++ b/Komp_obr_SFedU/additional/lect.sty @@ -0,0 +1,143 @@ +\usepackage[T2A]{fontenc} %ÐÏÄÄÅÒÖËÁ ËÉÒÉÌÌÉÃÙ +\usepackage[koi8-r]{inputenc} +\usepackage[english,russian]{babel} +\usepackage{array} +\usepackage{xspace} +%\usepackage[intlimits]{amsmath} + + +\def\No{\textnumero} + +\graphicspath{{./pic/}} +\usetheme{Boadilla} +\usefonttheme{structurebold} +\usefonttheme[onlymath]{serif} +\setbeamercovered{transparent} + +\newenvironment{pict}% + {\begin{figure}[!h]\begin{center}\noindent}% + {\end{center}\end{figure}} + +\def\col#1{\column{#1\textwidth}} + +\setbeamercolor{color1}{bg=blue!50!black,fg=white} +\setbeamercolor{light1}{bg=blue!20!white,fg=black} +\setbeamercolor{normal text}{bg=blue!20!black,fg=cyan!70!white} +\setbeamercolor{frametitle}{fg=red,bg=blue!40!black} +\setbeamercolor{title}{fg=red,bg=blue!40!black} +\setbeamercolor{block title}{fg=cyan,bg=blue!40!black} +\newenvironment{defin}{\begin{beamercolorbox}[shadow=true, rounded=true]{color1}}% +{\end{beamercolorbox}} +\newenvironment{light}{\begin{beamercolorbox}[shadow=false,rounded=false]{light1}}% + {\end{beamercolorbox}} +\newcommand{\img}[2][]{\begin{pict}\includegraphics[width=#1\columnwidth]{#2}\end{pict}} +\newcommand{\smimg}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\logo{\includegraphics[width=1cm,height=1cm,keepaspectratio]{saologo.jpg}} + +\def\daterussian{ % fix for iÀÎÑ and iÀÌÑ + \def\today{\number\day~\ifcase\month\or + \cyrya\cyrn\cyrv\cyra\cyrr\cyrya\or + \cyrf\cyre\cyrv\cyrr\cyra\cyrl\cyrya\or + \cyrm\cyra\cyrr\cyrt\cyra\or + \cyra\cyrp\cyrr\cyre\cyrl\cyrya\or + \cyrm\cyra\cyrya\or + \cyri\cyryu\cyrn\cyrya\or + \cyri\cyryu\cyrl\cyrya\or + \cyra\cyrv\cyrg\cyru\cyrs\cyrt\cyra\or + \cyrs\cyre\cyrn\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyro\cyrk\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyrn\cyro\cyrya\cyrb\cyrr\cyrya\or + \cyrd\cyre\cyrk\cyra\cyrb\cyrr\cyrya\fi + \space \number\year~\cyrg.}} + +\author[åÍÅÌØÑÎÏ× ü.÷.]{åÍÅÌØÑÎÏ× üÄÕÁÒÄ ÷ÌÁÄÉÍÉÒÏ×ÉÞ} +\institute[óáï 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+\def\aver#1{\bgroup\mathopen{<}#1\mathclose{>}\egroup} +\def\Ang{\mbox{\rm\AA}} % áÎÇÓÔÒÅÍ +\def\B#1{\ensuremath{\mathbf{#1}}} +\def\bsl{\textbackslash} +\def\ceil#1{\bgroup\lceil #1\rceil\egroup} +\def\const{\ensuremath{\mathfrak{const}}} +\def\C{\ensuremath{\mathfrak{C}}} +\def\degr{\ensuremath{^\circ}} % çÒÁÄÕÓ +\def\ddotvec#1{ % ×ÔÏÒÁÑ ÐÒÏÉÚ×ÏÄÎÁÑ ×ÅËÔÏÒÁ ÐÏ ×ÒÅÍÅÎÉ + \savebox{\hght}{$\vec{#1}$}\ddot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dotvec#1{ % ðÒÏÉÚ×ÏÄÎÁÑ ×ÅËÔÏÒÁ ÐÏ ×ÒÅÍÅÎÉ + \savebox{\hght}{$\vec{#1}$}\dot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dpartder#1#2{\dfrac{\partial^2 #1}{\partial #2^2}} % ×ÔÏÒÁÑ ÞÁÓÔÎÁÑ ÐÒÏÉÚ×ÏÄÎÁÑ +\def\e{\mathop{\mathrm e}\nolimits} +\renewcommand{\epsilon}{\varepsilon} % ëÒÁÓÉ×ÙÊ ÜÐÓÉÌÏÎ +\def\frc#1#2{\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}} % a/b, a ×ÙÛÅ, b ÎÉÖÅ +\def\floor#1{\bgroup\lfloor #1\rfloor\egroup} +\def\frc#1#2{\bgroup\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}\egroup} +\def\F{\ensuremath{\mathop{\mathfrak F}}\nolimits} % ëÒÁÓÉ×ÁÑ æ +\def\FT#1{\mathcal{F}\left(#1\right)} +\def\FWHM{\mathrm{FWHM}} +\renewcommand{\ge}{\geqslant} +\def\grad{\mathop{\mathrm{grad}}\nolimits} % çÒÁÄÉÅÎÔ +\def\ind#1{_{\text{\scriptsize #1}}} % îÉÖÎÉÊ ÉÎÄÅËÓ ÒÕÓÓ. ÂÕË×ÁÍÉ +\def\indfrac#1#2{\raisebox{2pt}{$\frac{\mbox{\small $#1$}}{\mbox{\small $#2$}}$}} +\def\I{\ensuremath{\mathfrak{I}}} % éÎÔÅÇÒÁÌ +\def\IFT#1{\mathcal{F}^{-1}\left(#1\right)} % ïÂÒÁÔÎÏÅ æð +\def\IInt{\mathop{{\int\!\!\!\int}}\limits} % ä×ÏÊÎÏÊ ÂÏÌØÛÏÊ ÉÎÔÅÇÒÁÌ +\def\ILT#1{\mathop{\mathfrak{L}}\nolimits^{-1}\left(#1\right)} % ïÂÒÁÔÎÏÅ ÐÒÅÏÂÒ. ìÁÐÌÁÓÁ +\def\Int{\int\limits} +\def\Infint{\int\limits_{-\infty}^\infty} +\def\IZT#1{\mathop{\mathcal{Z}}\nolimits^{-1}\left(#1\right)} % ïÂÒÁÔÎÏÅ Z-ÐÒÅÏÂÒÁÚÏ×ÁÎÉÅ +\renewcommand{\kappa}{\varkappa} % ëÒÁÓÉ×ÁÑ ËÁÐÐÁ +\renewcommand{\le}{\leqslant} % íÅÎØÛÅ ÉÌÉ ÒÁ×ÎÏ +\def\ltextarrow#1{\ensuremath{\stackrel{#1}\leftarrow}} % óÔÒÅÌËÁ ×ÌÅ×Ï Ó ÐÏÄÐÉÓØÀ Ó×ÅÒÈÕ +\def\lvec{\overrightarrow} % äÌÉÎÎÙÊ ×ÅËÔÏÒ +\def\LT#1{\mathop{\mathfrak{L}}\nolimits\left(#1\right)} % ðÒÅÏÂÒÁÚÏ×ÁÎÉÅ ìÁÐÌÁÓÁ +\def\mean#1{\overline{#1}} +\def\med{\mathop{\mathrm{med}}\nolimits} +\def\moda{\mathop{\mathrm{Mo}}\nolimits} +\def\Oint{\oint\limits} % âÏÌØÛÏÊ ÉÎÔÅÇÒÁÌ +\def\partder#1#2{\dfrac{\partial #1}{\partial #2}} +\renewcommand{\phi}{\varphi} % ëÒÁÓÉ×ÁÑ ÆÉ +\def\rev#1{\frac{1}{#1}} % ïÂÒÁÔÎÁÑ ×ÅÌÉÞÉÎÁ +\def\rot{\mathop{\mathrm{rot}}\nolimits} % òÏÔÏÒ +\def\rtextarrow#1{\ensuremath{\stackrel{#1}\rightarrow}} % óÔÒÅÌËÁ ×ÐÒÁ×Ï Ó ÐÏÄÐÉÓØÀ +\def\R{\ensuremath{\mathbb{R}}} % ÒÁÃÉÏÎÁÌØÎÙÅ ÞÉÓÌÁ +\def\so{\ensuremath{\Longrightarrow}\xspace} % ÓÌÅÄÏ×ÁÔÅÌØÎÏ +\def\sinc{\mathop{\mathrm{sinc}}\nolimits} % éÎÔÅÇÒÁÌØÎÙÊ ÓÉÎÕÓ +\def\SNR{\mathop{\mathrm{SNR}}\nolimits} +\def\Sum{\sum\limits} +\def\Tr{\mathop{\mathrm{Tr}}\nolimits} % óÌÅÄ ÍÁÔÒÉÃÙ +\def\veci{{\vec\imath}} % i-ÏÒÔ +\def\vecj{{\vec\jmath}} % j-ÏÒÔ +\def\veck{{\vec{k}}} % k-ÏÒÔ +\def\vl{\xspace\textbar\xspace} +\def\when#1{\ensuremath{\Bigr|_{#1}}} % ÷ÅÒÔ. 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