From 56cfa3dfc0ed955a9ae30d003abc460d6e6200fa Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Thu, 29 Oct 2020 10:42:00 +0100 Subject: [PATCH] Add figures --- figs/long_meas_time_domain_full.pdf | Bin 0 -> 37418 bytes figs/long_meas_time_domain_full.png | Bin 0 -> 20457 bytes figs/long_meas_time_domain_zoom.pdf | Bin 0 -> 42798 bytes figs/long_meas_time_domain_zoom.png | Bin 0 -> 33179 bytes figs/psd_combined.pdf | 1513 +++++++++++++++++++++++++++ figs/psd_combined.png | Bin 0 -> 116389 bytes figs/short_meas_time_domain.pdf | Bin 0 -> 32169 bytes figs/short_meas_time_domain.png | Bin 0 -> 27555 bytes index.html | 120 ++- index.org | 119 ++- mat/long_test2.mat | Bin 0 -> 5369265 bytes 11 files changed, 1723 insertions(+), 29 deletions(-) create mode 100644 figs/long_meas_time_domain_full.pdf create mode 100644 figs/long_meas_time_domain_full.png create mode 100644 figs/long_meas_time_domain_zoom.pdf create mode 100644 figs/long_meas_time_domain_zoom.png create mode 100644 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z$joRfpFYf{;&5ksO0o`qtt?S_9a(I0^*Nun5zn&(>Epq|RpaO3cNNJce6j88HaKvh zTzgGta|=?w(sXWEg$t;xvop8CUmMNMNs&i_c4W7ecvmk~;IAEy*a zT1*lALUE1yX@+W zv4W-^E;w9CiUn?9(uh~Rco?us=U(9oLil`Qv{ zBBGJly|C~?QB|Z`xC^QS)ryq0V=$vR>ooU+*cK%}wv0KylnTN)_M^Hc5{EFWCL8+& zmXGH*(bVp&-z^SR&`v^RGe45Qu_ZVN91^()bIdwbTj?8%Dux(Zb}eKiFnMi_MeaY) ziRr#pQ0$^+T|`0T6=;M5&y7abrX#bz=?;NIEj?8NS!|bMNWC}W>KF~qKN+z#4VW`7 z)`OdjPyItRaqk5}C - + Attocube - Test Bench @@ -15,6 +15,14 @@ + +

-
-

1 First Measurements

+
+

1 Estimation of the Spectral Density of the Attocube Noise

-
-

1.1 Load Data

+
+

1.1 Long and Slow measurement

-
-
load('./mat/long_test.mat', 'x', 't')
-Ts = 1; % [s]
+

+The first measurement was made during ~17 hours with a sampling time of \(T_s = 0.1\,s\). +

-win = hann(ceil(length(x)/10)); +
+
load('./mat/long_test2.mat', 'x', 't')
+Ts = 0.1; % [s]
+
+
+ + +
+

long_meas_time_domain_full.png +

+

Figure 1: Long measurement time domain data

+
+ +

+We can see in Figure 1 that there is a transient period where the measured displacement experiences some drifts. +This is probably due to thermal effects. +We only select the data between t1 and t2. +The obtained displacement is shown in Figure 2. +

+ +
+
t1 = 11; t2 = 17; % [h]
+
+x = x(t > t1*60*60 & t < t2*60*60);
+x = x - mean(x);
+t = t(t > t1*60*60 & t < t2*60*60);
+t = t - t(1);
+
+
+ + +
+

long_meas_time_domain_zoom.png +

+

Figure 2: Kept data (removed slow drifts during the first hours)

+
+ +

+The Power Spectral Density of the measured displacement is computed +

+
+
win = hann(ceil(length(x)/20));
 [p_1, f_1] = pwelch(x, win, [], [], 1/Ts);
 
+
+
+ +
+

1.2 Short and Fast measurement

+
+

+An second measurement is done in order to estimate the high frequency noise of the interferometer. +The measurement is done with a sampling time of \(T_s = 0.1\,ms\) and a duration of ~100s. +

load('./mat/test.mat', 'x', 't')
 Ts = 1e-4; % [s]
+
+
-win = hann(ceil(length(x)/50)); +

+The time domain measurement is shown in Figure 3. +

+ + +
+

short_meas_time_domain.png +

+

Figure 3: Time domain measurement with the high sampling rate

+
+ +

+The Power Spectral Density of the measured displacement is computed +

+
+
win = hann(ceil(length(x)/20));
 [p_2, f_2] = pwelch(x, win, [], [], 1/Ts);
 
+ +
+

1.3 Obtained Amplitude Spectral Density of the measured displacement

+
+

+The computed ASD of the two measurements are combined in Figure 4. +

+ + +
+

psd_combined.png +

+

Figure 4: Obtained Amplitude Spectral Density of the measured displacement

+
+
+

Author: Dehaeze Thomas

-

Created: 2020-10-29 jeu. 10:06

+

Created: 2020-10-29 jeu. 10:41

diff --git a/index.org b/index.org index ee5af7a..93a3434 100644 --- a/index.org +++ b/index.org @@ -37,7 +37,7 @@ #+PROPERTY: header-args:matlab+ :output-dir figs :END: -* First Measurements +* Estimation of the Spectral Density of the Attocube Noise ** Matlab Init :noexport:ignore: #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) <> @@ -47,29 +47,116 @@ <> #+end_src -** Load Data -#+begin_src matlab - load('./mat/long_test.mat', 'x', 't') - Ts = 1; % [s] - - win = hann(ceil(length(x)/10)); - [p_1, f_1] = pwelch(x, win, [], [], 1/Ts); -#+end_src +** Long and Slow measurement +The first measurement was made during ~17 hours with a sampling time of $T_s = 0.1\,s$. #+begin_src matlab - load('./mat/test.mat', 'x', 't') - Ts = 1e-4; % [s] - - win = hann(ceil(length(x)/50)); - [p_2, f_2] = pwelch(x, win, [], [], 1/Ts); + load('./mat/long_test2.mat', 'x', 't') + Ts = 0.1; % [s] #+end_src +#+begin_src matlab :exports none + figure; + plot(t/60/60, 1e9*x) + xlabel('Time [h]'); ylabel('Displacement [nm]'); +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/long_meas_time_domain_full.pdf', 'width', 'wide', 'height', 'normal'); +#+end_src + +#+name: fig:long_meas_time_domain_full +#+caption: Long measurement time domain data +#+RESULTS: +[[file:figs/long_meas_time_domain_full.png]] + +We can see in Figure [[fig:long_meas_time_domain_full]] that there is a transient period where the measured displacement experiences some drifts. +This is probably due to thermal effects. +We only select the data between =t1= and =t2=. +The obtained displacement is shown in Figure [[fig:long_meas_time_domain_zoom]]. + +#+begin_src matlab + t1 = 11; t2 = 17; % [h] + + x = x(t > t1*60*60 & t < t2*60*60); + x = x - mean(x); + t = t(t > t1*60*60 & t < t2*60*60); + t = t - t(1); +#+end_src + +#+begin_src matlab :exports none + figure; + plot(t/60/60, 1e9*x); + xlabel('Time [h]'); ylabel('Measured Displacement [nm]') +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/long_meas_time_domain_zoom.pdf', 'width', 'wide', 'height', 'normal'); +#+end_src + +#+name: fig:long_meas_time_domain_zoom +#+caption: Kept data (removed slow drifts during the first hours) +#+RESULTS: +[[file:figs/long_meas_time_domain_zoom.png]] + +The Power Spectral Density of the measured displacement is computed +#+begin_src matlab + win = hann(ceil(length(x)/20)); + [p_1, f_1] = pwelch(x, win, [], [], 1/Ts); +#+end_src + +** Short and Fast measurement +An second measurement is done in order to estimate the high frequency noise of the interferometer. +The measurement is done with a sampling time of $T_s = 0.1\,ms$ and a duration of ~100s. + +#+begin_src matlab + load('./mat/test.mat', 'x', 't') + Ts = 1e-4; % [s] +#+end_src + +The time domain measurement is shown in Figure [[fig:short_meas_time_domain]]. + +#+begin_src matlab :exports none + figure; + plot(t, 1e9*x) + xlabel('Time [s]'); ylabel('Displacement [nm]'); + xlim([0, 100]); +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/short_meas_time_domain.pdf', 'width', 'wide', 'height', 'normal'); +#+end_src + +#+name: fig:short_meas_time_domain +#+caption: Time domain measurement with the high sampling rate +#+RESULTS: +[[file:figs/short_meas_time_domain.png]] + +The Power Spectral Density of the measured displacement is computed +#+begin_src matlab + win = hann(ceil(length(x)/20)); + [p_2, f_2] = pwelch(x, win, [], [], 1/Ts); +#+end_src + +** Obtained Amplitude Spectral Density of the measured displacement + +The computed ASD of the two measurements are combined in Figure [[fig:psd_combined]]. + #+begin_src matlab :exports none figure; hold on; - plot(f_1(8:end), sqrt(p_1(8:end))); - plot(f_2(8:end), sqrt(p_2(8:end))); + plot(f_1(8:end), sqrt(p_1(8:end)), 'k-'); + plot(f_2(8:end), sqrt(p_2(8:end)), 'k-'); hold off; set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); ylabel('ASD [$m/\sqrt{Hz}$]'); xlabel('Frequency [Hz]'); #+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/psd_combined.pdf', 'width', 'wide', 'height', 'tall'); +#+end_src + +#+name: fig:psd_combined +#+caption: Obtained Amplitude Spectral Density of the measured displacement +#+RESULTS: +[[file:figs/psd_combined.png]] diff --git a/mat/long_test2.mat b/mat/long_test2.mat new file mode 100755 index 0000000000000000000000000000000000000000..dd64cd72db15a17f17fa0ffe1131b484623bc229 GIT binary patch literal 5369265 zcmeFa3tUun-anoi-VjXUEDuSD>S`t~BPRdc%3N6WT&N=C;KxF z9C!DXhST@FKkwV;OUzR*J@?eI@!|5><71wBDQxQ-Z^q9Y|H7MF-rBm8*|B*13r{Pb zeSX3Gnd6^k;S19dVSaU)vvxae(s|2b7n7wzvj;yKX>-r+2j8&|MOVS ze|kL|GX(zobolY>bGBE1^{fAU?3D%Mo%^nhFB|BXS21V!)6dN5(`V{SZ{K+Ci9fwD z(}`_oM|#Six0iF72qoze1b_|^GWYh>`> zKU`Zq|C_TbfEliC*#69#?V4xUMC# zAG*Iw?CN?sFTbFBVZ?V||LHGWPW}fmrtSrv*6+NZebVi|x%7I+i7>IBsk>Ywc7L^} z+ul{Zqh<4V_1-+s5OWXz?0@4VkOC--*u&DV3g?|qh)SO%}U#QC|-?gO5)p0lm> z-b_!RdjPx=#I>SAkef8$7Tj4`_lNTGuwyDXBX=B=G@?zWAc}bPUTUCpXq)JN{++G)-1SL$KpGUCX^H z%n?Uw&P6l_yN{b)^YyR z^tS?DWjjxvFX9XPiA&p{?vH4=eJAyH1w{% zu6SZcTF-AcvLVR#vN3x5cD>_3(OrE*@r;fSJ}r9m%W^+WxT~)(p3;%q^UFAS$0wh* z-_;w7-nvIwf^?+Ki#nBqq|!j^dcn_ zZeq$`-|IbnO8D%4(oTDK{QQa^#>lO&$SrH+@SB)d>8;!KmW_Jbf!K$)u63MAGTbk| zFiyq{m9YbK%qSh}r(^<^Y=DUgmI*gHK29=p7GG@J;pI-Ib7!NuEF=8Exy&LiH-S6T z&Y6!VY3>)l(-!O%zp724s;a4q3sjARD$k~>uTzy*s9HZwXK_*6Ca?I7M!8gOpD1?@ zlRM_hT?6&@8G7evy<@SQd#^3hD}Jq6U8;RZPms}bbn59k__L@(lytaB9cH4-UoQPH z=~Zvd!;DVbGP%|I?S1crfB5rw9^Nu_TupM9B;PWf@aK=D^M|7OV@Cc!D4$lurzY^n z{l|Xg{zYlOhmn8m*q=nzEvFhosD^l|IgqMfM>U00#$D83UMM~MF!GCz-y{to|EQn% z+*Uq}yw-6l>BN2QZ-3@e9^Zvt?E%)DE;1&MleXecW zT190i7o{+#3P*z22@1W0KH`af2P&C zSe55r(AvR!eQzh)=|ojo06$dWT&Aj6E-aC;{!~R6Gu==XFU-}kp;Y-rCd5#)PFSpD zgQ&_KOqij1m#{$g>3_EQdrG9YaVFbCVP6n4N!6Gl97^Z*$ekm&L$UTXs-s3OUhZ1Y z9f)crNA0VUeQH^2h0fxE@!Z00eq?#|P{R|D+!e}MkPBraN2N>$F z2qR2%EA^KzlP=wH``)M%?Q9=aT?RKtcC{es_G<1(p6eCW{%CHw+;N6G7VBhGDWTjt zz5NE47VFxsI+(!4=p7$($6K8T6c4nomMYd7JQ?2G|BVmkN?WX_M0)#|KbRwbmff6n zIqtR6x}?AP6EVZ(Rwuu3v==6OclS)wQ?J?D$JScZ9Mx=Hv+Aq!Sub3k#;^Lyx_UrJ z`mj~+=HxWK=4>0VA?t-@vfmuaTs|N~>HGPup{u4X`s@Gw7VQ+GO7D1ne>E!4eaX@h z8h@~RN>bdSpdT)M@0oFP{N0vyAC*7#ooD+^^QB}eKS3R%ufD<$HaYfEg+c14RaF`M z0EJ_#a4uGTYV|lVt}sd{gdf-58zS@Gx2)$!%3Q;!On>f4opUaA#>h@kS{ta8A|_nl z9L`NKS-+$Xw=y#JcQpDO}`

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