From 72ea0e2877ac780b855f6dcbde3b8ab988162096 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Mon, 6 Dec 2021 17:17:57 +0100 Subject: [PATCH] Add links to sections + tangle matlab files --- dcm_lookup_tables.org | 36 ++++++- dcm_lookup_tables.pdf | Bin 352374 -> 356266 bytes matlab/dcm_attocube_lut.m | 14 +++ matlab/dcm_stepper_lut.m | 202 ++++++++++++++++++++++++++++++++++++++ 4 files changed, 251 insertions(+), 1 deletion(-) create mode 100644 matlab/dcm_attocube_lut.m create mode 100644 matlab/dcm_stepper_lut.m diff --git a/dcm_lookup_tables.org b/dcm_lookup_tables.org index 8b87666..732857e 100644 --- a/dcm_lookup_tables.org +++ b/dcm_lookup_tables.org @@ -52,6 +52,10 @@ * Introduction +Several Lookup Tables (LUT) are used for the DCM in order to compensate for *repeatable* errors. +- Section [[sec:dcm_stepper_lut]]: the stepper motors are calibrated using interferometers. +- Section [[sec:dcm_attocube_lut]]: the Attocube periodic non-linearities are calibrated using piezoelectric actuators. + * Stepper Motors Calibration :PROPERTIES: :header-args:matlab+: :tangle matlab/dcm_stepper_lut.m @@ -270,6 +274,9 @@ for i = 1:length(icepap_steps_output_new) end #+end_src +The output motion with both LUT are shown in Figure [[fig:compare_old_new_lut_motion]]. +It is confirmed that the new LUT is the correct one. +Also, it is interesting to note that the old LUT gives an output motion that is above the ideal one, as was seen during the experiments. #+begin_src matlab :exports none %% Measured Motion and Idealized Motion % Use only middle motion where the LUT is working @@ -296,7 +303,34 @@ exportFig('figs/compare_old_new_lut_motion.pdf', 'width', 'wide', 'height', 'nor #+RESULTS: [[file:figs/compare_old_new_lut_motion.png]] -* Attocube Calibration :noexport: +* Attocube Calibration +:PROPERTIES: +:header-args:matlab+: :tangle matlab/dcm_attocube_lut.m +:END: +<> +** Introduction :ignore: + +** Matlab Init :noexport:ignore: +#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) +<> +#+end_src + +#+begin_src matlab :exports none :results silent :noweb yes +<> +#+end_src + +#+begin_src matlab :tangle no :noweb yes +<> +#+end_src + +#+begin_src matlab :eval no :noweb yes +<> +#+end_src + +#+begin_src matlab :noweb yes +<> +#+end_src + * Helping Functions :noexport: diff --git a/dcm_lookup_tables.pdf b/dcm_lookup_tables.pdf index 2af41b586f3ed66160aa77b3c238b6ce785f558c..8bc4fcbb366682c904aaa6c8bc64e55fb1e5ad6e 100644 GIT binary patch delta 81536 zcmZU4WmFv9+AIw2?ruSXyGw9)cXtTx86aqIcXyY;U4jO8cXtR5fy;X&>#Xno>zdx( zz3bU)*Q$ED=e`H4d=snI6&{<5l$q4g#0H+9AD&6h+`-b-ij<9mGXV`i3p`gBaO`77 zU4O#j;{C1<93s}8%hxzjsn0`3Rrvu42Y>MXAQz|uP-|dj6Z!Gq#j`xGLGU4HDpA>rNvLneqm6vE5?+|m2 zjoa;(Gt8RGGo*ymVqdt?0w_`TDNm}DE0aGZuNu9aJI&#Sxn{HgQrLFF_r$5LvodiU>h0#}4r@>cyN zvi{qHw$(u+7+o!_=_)yHlkQjA5oX0gikty-=>s3i*o^DU+93RI-_2a|W<}ym5cqc9 z9Pzy>wj2=C)@Zp6CE&Os`dK1&spjNU5vW|>MlW3^VU8~X-dyqKTgLouV^H(S;Nu-X 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colororder; + +%% Frequency Vector +freqs = logspace(1, 3, 1000); diff --git a/matlab/dcm_stepper_lut.m b/matlab/dcm_stepper_lut.m new file mode 100644 index 0000000..b45d2d1 --- /dev/null +++ b/matlab/dcm_stepper_lut.m @@ -0,0 +1,202 @@ +%% Clear Workspace and Close figures +clear; close all; clc; + +%% Intialize Laplace variable +s = zpk('s'); + +%% Path for functions, data and scripts +addpath('./mat/'); % Path for data + +%% Colors for the figures +colors = colororder; + +%% Frequency Vector +freqs = logspace(1, 3, 1000); + +% Simulation +% In this section, we suppose that we are in the frame of one fast jack (all transformations are already done), and we wish to create a LUT for one fast jack. + +% Let's say with make a Bragg angle scan between 10deg and 60deg during 100s. + +Fs = 10e3; % Sample Frequency [Hz] +t = 0:1/Fs:10; % Time vector [s] +theta = linspace(10, 40, length(t)); % Bragg Angle [deg] + + + +% The IcePAP steps are following the theoretical formula: +% \begin{equation} +% d_z = \frac{d_{\text{off}}}{2 \cos \theta} +% \end{equation} +% with $\theta$ the bragg angle and $d_{\text{off}} = 10\,mm$. + +% The motion to follow is then: + +perfect_motion = 10e-3./(2*cos(theta*pi/180)); % Perfect motion [m] + + + +% And the IcePAP is generated those steps: + +icepap_steps = perfect_motion; % IcePAP steps measured by Speedgoat [m] + +%% Steps as a function of the bragg angle +figure; +plot(theta, icepap_steps); +xlabel('Bragg Angle [deg]'); ylabel('IcePAP Steps [m]'); + + + +% #+name: fig:bragg_angle_icepap_steps_idealized +% #+caption: IcePAP Steps as a function of the Bragg Angle +% #+RESULTS: +% [[file:figs/bragg_angle_icepap_steps_idealized.png]] + +% Then, we are measuring the motion of the Fast Jack using the Interferometer. +% The motion error is larger than in reality to be angle to see it more easily. + +motion_error = 100e-6*sin(2*pi*perfect_motion/1e-3); % Error motion [m] + +measured_motion = perfect_motion + motion_error; % Measured motion of the Fast Jack [m] + +%% Measured Motion and Idealized Motion +figure; +hold on; +plot(icepap_steps, measured_motion, ... + 'DisplayName', 'Measured Motion'); +plot(icepap_steps, perfect_motion, 'k--', ... + 'DisplayName', 'Ideal Motion'); +hold off; +xlabel('IcePAP Steps [m]'); ylabel('Measured Motion [m]'); +legend('location', 'southeast'); + + + +% #+name: fig:measured_and_ideal_motion_fast_jacks +% #+caption: Measured motion as a function of the IcePAP Steps +% #+RESULTS: +% [[file:figs/measured_and_ideal_motion_fast_jacks.png]] + +% Let's now compute the lookup table. +% For each micrometer of the IcePAP step, another step is associated that correspond to a position closer to the wanted position. + + +%% Get range for the LUT +% We correct only in the range of tested/measured motion +lut_range = round(1e6*min(icepap_steps)):round(1e6*max(icepap_steps)); % IcePAP steps [um] + +%% Initialize the LUT +lut = zeros(size(lut_range)); + +%% For each um in this range +for i = 1:length(lut_range) + % Get points indices where the measured motion is closed to the wanted one + close_points = measured_motion > 1e-6*lut_range(i) - 500e-9 & measured_motion < 1e-6*lut_range(i) + 500e-9; + % Get the corresponding closest IcePAP step + lut(i) = round(1e6*mean(icepap_steps(close_points))); % [um] +end + +%% Generated Lookup Table +figure; +plot(lut_range, lut); +xlabel('IcePAP input step [um]'); ylabel('Lookup Table output [um]'); + + + +% #+name: fig:generated_lut_icepap +% #+caption: Generated Lookup Table +% #+RESULTS: +% [[file:figs/generated_lut_icepap.png]] + +% The current LUT implementation is the following: + +motion_error_lut = zeros(size(lut_range)); +for i = 1:length(lut_range) + % Get points indices where the icepap step is close to the wanted one + close_points = icepap_steps > 1e-6*lut_range(i) - 500e-9 & icepap_steps < 1e-6*lut_range(i) + 500e-9; + % Get the corresponding motion error + motion_error_lut(i) = lut_range(i) + (lut_range(i) - round(1e6*mean(measured_motion(close_points)))); % [um] +end + + + +% Let's compare the two Lookup Table in Figure [[fig:lut_comparison_two_methods]]. + +%% Comparison of the two Generated Lookup Table +figure; +hold on; +plot(lut_range, lut, ... + 'DisplayName', 'New LUT'); +plot(lut_range, motion_error_lut, ... + 'DisplayName', 'Old LUT'); +hold off; +xlabel('IcePAP input step [um]'); ylabel('Lookup Table output [um]'); +legend('location', 'southeast'); + + + +% #+name: fig:lut_comparison_two_methods +% #+caption: Comparison of the two lookup tables +% #+RESULTS: +% [[file:figs/lut_comparison_two_methods.png]] + +% If we plot the "corrected steps" for all steps for both methods, we clearly see the difference (Figure [[fig:lut_correct_and_motion_error]]). + + +%% Corrected motion and motion error at each step position +figure; +hold on; +plot(lut_range, lut-lut_range, ... + 'DisplayName', 'New LUT'); +plot(lut_range, motion_error_lut-lut_range, ... + 'DisplayName', 'Old LUT'); +hold off; +xlabel('IcePAP Steps [um]'); ylabel('Corrected motion [um]'); +ylim([-110, 110]) +legend('location', 'southeast'); + + + +% #+name: fig:lut_correct_and_motion_error +% #+caption: LUT correction and motion error as a function of the IcePAP steps +% #+RESULTS: +% [[file:figs/lut_correct_and_motion_error.png]] + +% Let's now implement both LUT to see which implementation is correct. + +icepap_steps_output_new = lut(round(1e6*icepap_steps)-lut_range(1)+1); +i = round(1e6*icepap_steps)-motion_error_lut(1)+1; +i(i>length(motion_error_lut)) = length(motion_error_lut); +icepap_steps_output_old = motion_error_lut(i); + +motion_new = zeros(size(icepap_steps_output_new)); +motion_old = zeros(size(icepap_steps_output_old)); + +for i = 1:length(icepap_steps_output_new) + [~, i_step] = min(abs(icepap_steps_output_new(i) - 1e6*icepap_steps)); + motion_new(i) = measured_motion(i_step); + + [~, i_step] = min(abs(icepap_steps_output_old(i) - 1e6*icepap_steps)); + motion_old(i) = measured_motion(i_step); +end + + + +% The output motion with both LUT are shown in Figure [[fig:compare_old_new_lut_motion]]. +% It is confirmed that the new LUT is the correct one. +% Also, it is interesting to note that the old LUT gives an output motion that is above the ideal one, as was seen during the experiments. + +%% Measured Motion and Idealized Motion +% Use only middle motion where the LUT is working +i = round(0.1*length(icepap_steps)):round(0.9*length(icepap_steps)); +figure; +hold on; +plot(icepap_steps(i), motion_new(i), ... + 'DisplayName', 'Motion (new LUT)'); +plot(icepap_steps(i), motion_old(i), ... + 'DisplayName', 'Motion (old LUT)'); +plot(icepap_steps(i), perfect_motion(i), 'k--', ... + 'DisplayName', 'Ideal Motion'); +hold off; +xlabel('IcePAP Steps [m]'); ylabel('Measured Motion [m]'); +legend('location', 'southeast');