From d052867a21a5ed0e42343d9dd40d8838325a65ae Mon Sep 17 00:00:00 2001 From: hiro98 Date: Tue, 29 Oct 2019 08:05:47 +0100 Subject: [PATCH] messungen und erster Teil der Auswertung GL --- GL/messungen/.~lock.messungen.xlsx# | 1 + .../kommerzieller_HeNe/4.1spektr.txt | 605 +++++ .../FSR-Messungen/kommerzieller_HeNe/4.2.png | Bin 0 -> 6827 bytes .../FSR-Messungen/kommerzieller_HeNe/4.2.txt | 602 +++++ .../kommerzieller_HeNe/Waveform.png | Bin 0 -> 7806 bytes .../FSR-Messungen/kommerzieller_HeNe/pol1.png | Bin 0 -> 5918 bytes .../FSR-Messungen/kommerzieller_HeNe/pol1.txt | 602 +++++ .../FSR-Messungen/kommerzieller_HeNe/pol2.png | Bin 0 -> 6169 bytes .../FSR-Messungen/kommerzieller_HeNe/pol2.txt | 605 +++++ .../FSR-Messungen/offener_HeNe/Waveform.png | Bin 0 -> 6533 bytes .../FSR-Messungen/offener_HeNe/Waveform.txt | 605 +++++ .../offener_HeNe/res_laenge_60cm.png | Bin 0 -> 6590 bytes .../offener_HeNe/res_laenge_60cm.txt | 605 +++++ .../Spektrum_offener_HeNe.txt | 2066 +++++++++++++++++ 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aktiviert: Nein (HR+C1743) +Correct for Detector Non-linearity: Nein (HR+C1743) +Streulichtkorrektur: Nein (HR+C1743) +Anzahl Pixel in verarbeitetem Spektrum: 2048 +>>>>>Begin Processed Spectral Data<<<<< +189,03 605,00 +189,49 600,00 +189,96 604,00 +190,43 615,00 +190,90 601,00 +191,37 600,00 +191,84 583,00 +192,31 588,00 +192,78 589,00 +193,24 608,00 +193,71 618,00 +194,18 591,00 +194,65 623,00 +195,12 608,00 +195,59 592,00 +196,06 609,00 +196,52 624,00 +196,99 616,00 +197,46 602,00 +197,93 615,00 +198,40 600,00 +198,87 620,00 +199,34 606,00 +199,80 592,00 +200,27 612,00 +200,74 592,00 +201,21 582,00 +201,68 605,00 +202,15 612,00 +202,61 614,00 +203,08 602,00 +203,55 596,00 +204,02 614,00 +204,49 596,00 +204,96 588,00 +205,42 606,00 +205,89 622,00 +206,36 607,00 +206,83 606,00 +207,30 610,00 +207,76 617,00 +208,23 606,00 +208,70 596,00 +209,17 598,00 +209,64 608,00 +210,10 604,00 +210,57 593,00 +211,04 598,00 +211,51 613,00 +211,98 599,00 +212,44 597,00 +212,91 602,00 +213,38 608,00 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room=HZDR\ Dresden/Rossendorf\,\ Geb.\ 620/123, supervisor=Martin\ Rehwald;\, Tim\ Ziegler]{../../Lab_Report_LaTeX/lab_report} + +\title{Gaslaser} +\author{Oliver Matthes, Valentin Boettcher} +\usepackage[version=4]{mhchem} +\usepackage{todonotes} +\usepackage{amssymb} +\usepackage{graphicx,wrapfig} +\graphicspath{ {figs/} } +\newcommand{\laser}{\textsc{Laser}} +\newcommand{\hne}{\ce{HeNe}-Laser} + +\newtheorem{acro}{Acronym}[section] +\begin{document} + +\message{ !name(protokoll.tex) !offset(399) } +: + + +\message{ !name(protokoll.tex) !offset(397) } + +\end{document} diff --git a/GL/protokoll/figs/aufb.png b/GL/protokoll/figs/aufb.png new file mode 100644 index 0000000000000000000000000000000000000000..f0c9bab0499caf203b0055e0da6037d53dd1e3cc GIT binary patch literal 808300 zcmb5W1yEeuwl$128l2z(8fZMYy98?p?(Xgo2=0>LH13+<9taR5xCKdYcXxOAJMX=7 z&b{^LR^6{_S9MocvDs^_x#k>W%(42Tl7cikDlsYy3=BG0MnVPp27-Y>u|`IOeuFmn z@d^3{a1{ruAwyq2$Yvj4V1O`S2{APfgM%!j0DblPr|F9&IR>mah&U!t(o0(GROpcr 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aufgef\"uhrt. -\setlength{\tabcolsep}{20pt} +{\setlength{\tabcolsep}{20pt} \begin{table}[h!] \centering \begin{tabular}{l | c | l} @@ -261,7 +261,7 @@ Die hier ben\"otigten Matrizen sind im folgenden aufgef\"uhrt. \end{tabular} \caption{Einige optische Matrizen} \label{tab:mats} -\end{table} +\end{table}} Definiert man \(\frac{1}{q(z)}=\frac{1}{R(z)}+i\frac{\lambda}{\pi w^2(z)}=a+i\cdot b\) so transformiert sich dieser Parameter mit der Matrix @@ -407,6 +407,44 @@ Es sollte also \(R\rightarrow 1\) gelten. Es ist zu beachten, dass die hier aufgef\"uhrten Beziehungen nur bei senkrechten Strahleinfall gelten. +\subsection{Malus Law} +\label{sec:malus} + +Die Intensit\"at einer Ebenen Welle nach einem Polfilter ergibt sich +durch Projektion der Eingangswelle auf die Richtung des Filters. Die +Quadratur ergibt sich aus der Intensit\"atsberechnung \(\propto +E^2\). \(\Theta\) bezeichnet den relativen Winkel der +Polarisationsrichtungen. + +\begin{equation} + \label{eq:malus} + I(\Theta)=I_0\cdot \cos^2{\Theta} +\end{equation} + +\section{Versuchaufbau und Ger\"ate} +\label{sec:versuaufb} + +Der Versuchaufbau ist schematisch in~\ref{fig:aufb} dargestellt und umfasst unter anderem: + +\begin{description} +\item[Spiegel] Nummeriert von 1 bis 10. +\item[Laser] Kommerzieller \hne{} und gr\"uner Justagelaser. +\item[Blenden] Als Justagehilfe und zum Ausblenden von unerw\"unschten Moden. +\item[Linsen und Filter] Zur Untersuchung der Strahleigenschaften. (Sammellinse, Polfilter, Graufilter) +\item[Fabry Perot Interferometer] Festaufbau, Konfokal +\item[Leistungsmessger\"at] Zur Leistungsmessung und als Justagehilfe. +\item[Faserspektrometer] \textsc{Ocean Optics HR2000+} als Referenzmessger\"at. +\end{description} + + +\begin{figure}[H]\centering + \includegraphics[width=.5\columnwidth]{aufb.png} + \caption[Aufbau]{Versuchsaufbau} + \label{fig:aufb} +\end{figure} + + + \section{Durchf\"uhrung} \label{sec:durch} @@ -427,4 +465,191 @@ Das ist auch aus dem Stabilit\"atsdiagramm ersichtlich. \label{fig:stabdiag} \end{figure} +\subsection{Justage und Messung der Verst\"arkung im Einfachdurchgang} +\label{sec:justage} + +Durch Anpassen der Spiegel 4 und 5 und zweier Blenden auf der +Optischen Achse (OA) der \ce{HeNe}-R\"ohre wurde der Rote Laser +parallel zur OA ausgerichtet, sodass er die R\"ohre ohne st\"orende +Reflexe an den Kappilarw\"anden passierte. Auf \"ahnliche Weise +geschah das auch mit dem gr\"unen Laser (\"uber Spiegel 1, 2). + +Anschlie\ss{}end wurde die Leistung des kommerziellen Lasers vor der +R\"ohre und bei Durchgang durch diese im deaktivierten und im aktiven +Zustand, sowie der Untergrund de Powermeters gemessen. Bei allen +Leistungsmessungen wurde die Raumbeleuchtung abgeschaltet. Die +Messzeit wurde auf \SI{150}{\second} festgelegt, da die Schwankung +des Messwertes ab dieser Zeit ann\"hernd konstant blieb. + +\subsection{Aufbau des Hemisph\"arischen Resonators} +\label{sec:aufbauhemi} + +Nach dem Einbau der Resonatorspiegel wurde deren Justage mit Hilfe von +R\"uckreflexen der Justagelaser durchgef\"uhrt. Die anf\"angliche +Leistung des Lasers war gering, konnte jedoch durch Beamwalken +erheblich gesteigert werden (auf ca \SI{1}{\milli\watt}). + +Anschlie\ss{}end wurde der Laserstrahl auf eine zweite optische Bahn +justiert und die Ausgangsleistung des Lasers in Abeh\"angigkeit der +Resonatorl\"ange gemessen. Die L\"ange wurde durch Verschieben des +gekr\"ummten Spiegels verstellt. + +\subsection{Messung der Polarisationseigenschafte} +\label{sec:poleig} + +Nach Einstellung der Resonatorl\"ange auf \SI{80}{\centi\meter}, wurde +ein Polarisationsfilter in den Strahlengang gebracht und die +transmittierte Leistung in Abh\"angigkeit des Polfilterwinkels +gemessen. +Die Messzeit wurde aus Zeitgr\"unden auf \SI{1}{\minute} reduziert. +Da die Polarisationsrichtung des Lasers mit der Nullstellung des +Polfilters \"ubereinstimmte, konnte der Polarisationswinkel absolut +abgelesen werden. + +\section{Auswertung} +\label{sec:auswertung} + +\subsection{Verst\"arkung im Einfachdurchgang} +\label{sec:ausweinf} + +\begin{table}[h] + \begin{tabular}{l|SSSS} + \toprule + & {Mittelwert [\si{\micro\watt}]} & {Standartabweichung + [\si{\micro\watt}]} & {Minimum + [\si{\micro\watt}]} + & {Maximum [\si{\micro\watt}]} \\ + \midrule + Untergrund & 0.839 & 0.031 & 0.771 & 0.888 \\ + R\"ohre aktiv & 965.161 & 4.2 & 958.229 & 973.112 \\ + R\"ohre inaktiv & 907.161 & 17.5 & 885.229 & 949.112 \\ + vor R\"ohre & 1319.161 & 2.0 & 1319.229 & 1329.112 \\ + \bottomrule + \end{tabular} + \caption{Leistungsmessungen des Einfachdurchgangs mit abgezogenem Untergrund} + \label{tab:leistungeinfach} +\end{table} + +Die Systematischen Messungenaugkeiten liegen beim Powermeter weit +unter der statistischen Schwankung und werden hier vernachl\"assigt. + +Der untergrund der Messung ist in Relation zum Rest der Messungen +relativ gering und wurde in~\ref{tab:leistungeinfach} abgezogen. Da +er jedoch eine gr\"o\ss{}ordnung unter den \"ublichen Messwerten und +deren statistischer Schwankung liegt, wird der Untergrund in allen +folgenden Messungen vernachl\"assigt, weil Messbereiche nicht +vergleichbar sind. +Die inaktive R\"ohre absorbiert den kommerzielen Laser relativ stark +(ca. \SI{0.4}{\milli\watt}), wobei die Leistung des durch die R\"ohre +transmittierten Strahles relativ stark schwankt. + +Die Aktivierung der R\"ohre verst\"arkt den Strahl kaum (\(\approx\) +\SI{6}{\percent}), scheint diesen aber zu stabilisieren, auch wenn die +Leistungschwankung immer noch gr\"o\ss{}er als vor der R\"ohre ist. + +Um einen leistungstarken Laser-Strahl zu erzeugen, sind demnach also +viele Durchg\"ange notwendig. + +\subsection{Ausgangsleistung in Abh\"angigkeit der Resonatorl\"ange} + +Wie in~\ref{fig:power-over-l} zu sehen und in~\ref{tab:leistunglaenge} +zu lesen, bricht die Leistung ab +ca. \SI{90}{\centi\meter} ein und wird bei \SI{1}{\meter} sehr klein. +Das best\"atigt die Stabilit\"atsbedingung aus~\ref{sec:stabber}. Der +Leistungseinbruch vor der eigentlichen Stabilit\"atsgrenze ist +eventuell auf die zunehmende Abweichung von der paraxialen N\"aherung +und Justageschwierigkeiten aufgrund der langen Wegl\"ange +zur\"uckzuf\"uhren. + +Die Messabweichungen der L\"ange wurden auf \(\Delta L = \SI{.5}{\centi\meter}\) +abgesch\"atzt und sind von statistischer Natur. Der systematische +Fehler des Lineals ist im Vergleich sehr klein (\(\approx +\SI{.5}{\milli\meter}\)). Der hohe schw\"atzwert der Messungenaugikeit +bedingt sich die Schwierigkeiten des Ablesens der Spiegelposition +(Perspektivabh\"angigkeit durch Abstand zum Ma\ss{}stab). +\todo{ungenauigkeit Maximum diskuti..} +\begin{figure}[H]\centering + \includegraphics[width=.8\columnwidth]{figs/power-over-l.pdf} + \caption{Maximale Durchschnittsleistung in Abh\"angigkeit der Resonatorl\"ange } + \label{fig:power-over-l} +\end{figure} + +\begin{table}[h] + \centering + \begin{tabular}{SSS} + \toprule + {L [\si{\centi\metre}]} & {P [\si{\milli\watt}]} & {\(\Delta\)P [\si{\micro\watt}]}\\ + \midrule + 60 & 0.991 & 7.1 \\ + 75 & 1.01 & 6.3 \\ + 90 & 0.99 & 4.6 \\ + 95 & 0.825 & 3.0 \\ + 100 & 0.313 & 5.0 \\ + \bottomrule + \end{tabular} + \caption{Maximallestung in Abh\"angigkeit der Resonatorl\"ange } + \label{tab:leistunglaenge} +\end{table} + + + + + + +\subsection{Polarisationseigenschaften des Laserstrahls} +\label{sec:diskpol} + +Die im Laser verbauten Brewsterfenster erlaubten nur Moden mit einer +Polarisationsrichtung. Somit folgt die Transmission, wie +in~\ref{fig:malus} zu erkennen, sehr gut dem Gesetz von Malus. + +Am der letzte Messwert liegt deutlich \"uber der theoretischen +Kurve und auch andere Punkte liegen neben der Kurve. Gr\"unde daf\"ur +k\"onnten ungenaue Einstellung und besondere Eigenschaften des Strahls +oder Filters sein. + +\begin{figure}[H]\centering + \includegraphics[width=.8\columnwidth]{figs/malus.pdf} + \caption{Maximale Durchschnittsleistung in Abh\"angigkeit des Polarisationswinkels} + \label{fig:malus} +\end{figure} + +\begin{table}[h] + \centering + \begin{tabular}{SSS} + \toprule + {\(\Theta\) [\si{\deg}]} & {P [\si{\milli\watt}]} & {\(\Delta\)P [\si{\micro\watt}]}\\ + \midrule + 180 & 0.844 & 3.6 \\ + 170 & 0.796 & 6.1 \\ + 160 & 0.728 & 3.0 \\ + 130 & 0.301 & 1.5 \\ + 100 & 0.0163 & 0.084 \\ + 90 & 0.00611 & 0.0066 \\ + 80 & 0.0445 & 0.22 \\ + 60 & 0.222 & 1.7 \\ + 45 & 0.415 & 2.2 \\ + 20 & 0.733 & 6.7 \\ + 10 & 0.798 & 2.7 \\ + 0 & 0.825 & 3.1 \\ + \bottomrule + \end{tabular} + \caption{Maximale Durchschnittsleistung in Abh\"angigkeit des Polarisationswinkels} + \label{tab:malus} +\end{table} + + + + + + + + + + + + + + + \end{document} diff --git a/GL/scripts/Kaustik.ipynb b/GL/scripts/Kaustik.ipynb index c7a4635..f0d7a54 100644 --- a/GL/scripts/Kaustik.ipynb +++ b/GL/scripts/Kaustik.ipynb @@ -2,28 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, - "metadata": { - "autoscroll": false, - "collapsed": false, - "ein.hycell": false, - "ein.tags": "worksheet-0", - "slideshow": { - "slide_type": "-" - } - }, - "outputs": [], - "source": [ - "\"\"\"Calculation of the Kaustik of a Laserbeam.\"\"\"\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "from SecondaryValue import SecondaryValue" - ] - }, - { - "cell_type": "code", - "execution_count": 2, + "execution_count": 128, "metadata": { "autoscroll": false, "collapsed": false, @@ -37,15 +16,15 @@ "source": [ "# Input Parameters\n", "R = 100 # cm\n", - "L = 46 # cm\n", + "L = 80 # cm\n", "f = 15 # cm\n", - "lam = 633e-8 # cm\n", - "lens_pos = 15 # cm" + "lam = 632.8e-8 # cm\n", + "lens_pos = 25+29.5+10 # cm" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 114, "metadata": { "autoscroll": false, "collapsed": false, @@ -66,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 161, "metadata": { "autoscroll": false, "collapsed": false, @@ -78,12 +57,12 @@ }, "outputs": [], "source": [ - "w0 = SecondaryValue('((l/pi)^2*L*(R-L))^(1/4)', defaults=dict(l=lam, L=L, R=R, pi=np.pi))" + "w0 = SecondaryValue('((l/pi)^2*L*(R-L))', defaults=dict(l=lam, L=L, R=R, pi=np.pi))" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 139, "metadata": { "autoscroll": false, "collapsed": false, @@ -103,7 +82,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 135, "metadata": { "autoscroll": false, "collapsed": false, @@ -122,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 118, "metadata": { "autoscroll": false, "collapsed": false, @@ -136,53 +115,10 @@ { "data": { "text/plain": [ - "[]" + "6.491621325058207e-09" ] }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": [ - 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\n" 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "xs_before = np.linspace(0, lens_pos, 1000)\n", - "xs_after = np.linspace(0, 40, 1000)\n", - "plt.plot(xs_before, w_before(x=[xs_before]))\n", - "plt.plot(xs_after + lens_pos, w(s=lens_pos, x=[xs_after]))" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "metadata": { - "autoscroll": false, - "collapsed": false, - "ein.hycell": false, - "ein.tags": "worksheet-0", - "slideshow": { - "slide_type": "-" - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.010021086630321032" - ] - }, - "execution_count": 93, + "execution_count": 118, "metadata": {}, "output_type": "execute_result" } @@ -193,7 +129,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 140, "metadata": { "autoscroll": false, "collapsed": false, @@ -204,7 +140,205 @@ } }, "outputs": [], + "source": [ + "data = pd.read_csv(r'./../messungen/Boettcher_Matthes/Kaustik-Messung/11_2008-07-13_03h-00m-41s.csv', sep=';', encoding='latin1')\n", + "fwhm = 'Value.18'\n", + "zs = np.array([11, 13, 15, 17, 19, 21, 23, 27])" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "def extract_fwhm(z):\n", + " filename = glob.glob(f'./../messungen/Boettcher_Matthes/Kaustik-Messung/{z}*.csv')[0]\n", + " dat = pd.read_csv(filename, sep=';', encoding='latin1')\n", + " return dat[fwhm][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "widths = np.array([extract_fwhm(z) for z in zs]) * 0.00056 # cm" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "popt, pcov = curve_fit(lambda x, w0: w(w0=w0, s=lens_pos, x=[x]), zs, widths)" + ] + }, + { + "cell_type": "code", + "execution_count": 200, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "%matplotlib qt5\n", + "xs_before = np.linspace(0, lens_pos, 1000)\n", + "xs_after = np.linspace(0, 40, 1000)\n", + "plt.plot(xs_before, w_before(w0=popt[0], x=[xs_before]), color='grey',\n", + " linestyle='--')\n", + "plt.plot(lens_pos + xs_after, w(w0=popt[0], s=lens_pos, x=[xs_after]), color='grey',\n", + " linestyle='--', label='Theoretische Kaustik, $w_0={:f}cm$'.format(popt[0]))\n", + "plt.errorbar(lens_pos + zs, widths, yerr=0.00056,\n", + " xerr=1, linestyle='none', marker='x', markersize=10,\n", + " ecolor='red', elinewidth=1, barsabove=True, label='Gemessene Kaustik')\n", + "plt.xlabel('z [cm]')\n", + "plt.ylabel('w [cm]')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "54.5" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [] + }, + { + "cell_type": "code", + "execution_count": 181, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.00289796])" + ] + }, + "execution_count": 181, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sqrt(np.diag(pcov))" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.05730852])" + ] + }, + "execution_count": 158, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "popt" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "6.491621325058207e-09" + ] + }, + "execution_count": 163, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w0()" + ] } ], "metadata": { diff --git a/GL/scripts/Untitled1.ipynb b/GL/scripts/Untitled1.ipynb new file mode 100644 index 0000000..fa1ea0c --- /dev/null +++ b/GL/scripts/Untitled1.ipynb @@ -0,0 +1,127 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "data = pd.read_excel(r'./../messungen/messungen.xlsx', sheet_name='A3a')\n", + "data = data.sort_values(by=['Lcm'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "%matplotlib qt5\n", + "plt.errorbar(data['Lcm'], data['mean'], yerr=data['sttdev'],\n", + " xerr=.5, linestyle='none', marker='x', markersize=10,\n", + " ecolor='red', elinewidth=1, barsabove=True,)\n", + "plt.xlabel('L [cm]')\n", + "plt.ylabel('P [mWatt]')\n", + "plt.grid()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 0.991\n1 1.010\n2 0.990\n4 0.825\n3 0.313\nName: mean, dtype: float64" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['mean']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "argv": [ + "python", + "-m", + "ipykernel_launcher", + "-f", + "{connection_file}" + ], + "display_name": "Python 3", + "env": null, + "interrupt_mode": "signal", + "language": "python", + "metadata": null, + "name": "python3" + }, + "name": "Untitled1.ipynb" + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/GL/scripts/polfilter.ipynb b/GL/scripts/polfilter.ipynb new file mode 100644 index 0000000..bfaec79 --- /dev/null +++ b/GL/scripts/polfilter.ipynb @@ -0,0 +1,160 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "data = pd.read_excel(r'./../messungen/messungen.xlsx', sheet_name='A3b')\n", + "data = data.sort_values(by=['winkel'])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%matplotlib qt5\n", + "plt.errorbar(data['winkel'], data['mean'], yerr=data['stddev'],\n", + " xerr=1, linestyle='none', marker='x', markersize=10,\n", + " ecolor='red', elinewidth=1, barsabove=True,\n", + " label='Gemessene Leistung')\n", + "\n", + "xs = np.linspace(0, 180, 1000)\n", + "plt.plot(xs, data['mean'][11]*np.cos(xs/180*np.pi)**2,\n", + " label='Skalierter $\\cos^2$', color='green',\n", + " linestyle='--', linewidth=.5)\n", + "plt.xlabel('$\\Theta$ [$\\circ$]')\n", + "plt.ylabel('P [mWatt]')\n", + "plt.grid()\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.825" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['mean'][11]\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "autoscroll": false, + "collapsed": false, + "ein.hycell": false, + "ein.tags": "worksheet-0", + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "argv": [ + "python", + "-m", + "ipykernel_launcher", + "-f", + "{connection_file}" + ], + "display_name": "Python 3", + "env": null, + "interrupt_mode": "signal", + "language": "python", + "metadata": null, + "name": "python3" + }, + "name": "polfilter.ipynb" + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/GL/todo.org b/GL/todo.org index c597ca5..5eaa773 100644 --- a/GL/todo.org +++ b/GL/todo.org @@ -1,6 +1,58 @@ -* Fragen an Betreuer +* Fraxgen an Betreuer - Alle Fehlerformeln - Aufgabenstellung * Messungen ** Resonator - +* Protokoll +** Justage + - der Reihe nach spiegel bis durch blende + - zentral durch blende kleine oeffnung + - justage gr. laser +** Messung Einfachdurchgang + - messg. ohne deckenbel. sonnenlicht schwankt unvorhersehbar + - erst bestimmung messzeit, wenn stddev cons. + - bestimmt zu: 1.2 bei 2 min, 1.1 bei 3 min rel. stabil nach drei minuten -> 150s + - powermeter reflektiert... + - Messungen in [[file:messungen/messungen.ods][messungen]] A2 + - mit akt r. stted klein +** Laserbau +*** a + - ungenauigkeit statistik gr. als syst in powermeter + - justage erstaunlich schnell. rueckreflexe + - justage der zw. opt bank durch drehen spiegel 4,5 + - laegne ungenauigkeit auf ca. .5cm + - spiegel 1: bei ca 0cm + - optimum auf ca. 0.01mw +*** b + - reslaenge 80cm + - messzeit 1min + - absolutwinkel + - skalenteil: 2 grad + - glatte zahlen wegen die striche +*** c + - nur gaussmode anregen durch blende + - s=10+25+29.5 +-2cm + os ss sl + - entf. kamera +- 1cm + - kalibiere mittelp. kamera an bw linse, schwierig wegen fluktuation gemessener intestaet + - y fit passt meist besser + - mittelpunkt + - zunehmende asyemtrie mit entfernung + - ab 23 cm filter entfernt + +*** d + - ocean optics hr2000+ + - einzelne moden nicht zu erkennen +* Fabry Perot + - warum mehrere Moden + - d = 7.5cm 1/4cm ungenau +*** komerzieller laser + - wabern + - zwei moden mit ungekehrter pol + - 0 grad kleine mode + - 85 grad grosse + + +*** offener lasrw + - wabern instablil 2-3 moden, 80cm

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