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@simonrw
Last active October 29, 2015 15:15
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import scipy.ndimage as nd\n",
"from sqlalchemy import create_engine\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def f2mag(f):\n",
" return 2.5*log10(f+1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"nimages = 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Effect of the imperfect guiding on the photometry\n",
"\n",
"lets simulate a single star, with a comparable FWHM than than the Typical NGTS one, and check what precision we need to have on the flat field."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"psf_supersample_factor = 20."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x=linspace(-5,5,10 * psf_supersample_factor)\n",
"(Y,X)=meshgrid(x,x)\n",
"r=sqrt((X)**2+(Y)**2)\n",
"psf=exp(-r**2/(2.0)**2)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x109de51d0>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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jBbKLk4HG3n4XDZ96fAsCyhgULIaCgPHh53F2A61z7fkqKRsAUlbQYQjFtVM5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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109c1dba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"imshow(psf)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FWHM = 1.7 pixel\n"
]
}
],
"source": [
"print(\"FWHM =\",(100-argmin(abs(psf[:,100]-0.5)))/psf_supersample_factor,\"pixel\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"so this is how the PSF look on the CCD"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x109e922e8>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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yb+6JyLXAXcApO8/cbjdjxow5/jo1NZXU1NTyTlq5PNBnJMz5BxRVs51GqVN5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\npbTglVIqSv0/Mm4OEM4Sp3YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109df90f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(arange(0,200,20)+10,psf[:,100].reshape(10,20).mean(axis=1),\".\",markersize=12)\n",
"bar(arange(0,200,20),psf[:,100].reshape(10,20).mean(axis=1),width=20)\n",
"plot(psf[:,100])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets create a flat field and add some guiding jitter to it, the Flat field is known with a 1% error. Fetch the average autoguider jitter from the database.\n",
"\n",
"_The code below should be set to raw cells, as this will only run on my laptop, or ngtshead - SRW_"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"engine = create_engine('mysql+pymysql://sw@ngtsdb/ngts_ops')\n",
"ag = pd.read_sql_query('''select * from autoguider_log\n",
"join raw_image_list using (image_id)\n",
"where night = \"2015-09-09\" and camera_id = 802''', engine)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"skip = 30\n",
"ag_length = nimages\n",
"pixel_scale = 5.\n",
"\n",
"# Autoguider corrections in arcseconds\n",
"ag_x, ag_y = ag.x_correction[skip:skip + ag_length], ag.y_correction[skip:skip + ag_length]\n",
"\n",
"# Convert to pixels\n",
"ag_x_pix, ag_y_pix = [data / pixel_scale for data in [ag_x, ag_y]]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.text.Text at 0x10a9e31d0>, <matplotlib.text.Text at 0x10a9eb2e8>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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UB/Ae4KLE8xOAv+5b5mrg0MTzG4ADiRoLTLau7lQG6L9Sb2q5chHyXj2HkGf9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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a95fa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 1, sharex=True)\n",
"axes[0].plot(ag_x_pix, '.')\n",
"axes[1].plot(ag_y_pix, '.')\n",
"axes[0].set(ylabel='X / pixels')\n",
"axes[1].set(ylabel='Y / pixels', xlabel='Frame')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Autoguider rms: 0.145397 arcseconds == 0.029079 pixels\n"
]
}
],
"source": [
"ag_deviation = np.sqrt((ag_x - ag_x.mean()) ** 2 + (ag_y - ag_y.mean()) ** 2)\n",
"ag_rms = ag_deviation.std()\n",
"print(\"Autoguider rms: %f arcseconds == %f pixels\" % (ag_rms, ag_rms / pixel_scale))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_Code below here will run ok - SRW_"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# From the database:\n",
"autoguider_rms = 0.03 # pixels"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def create_jitter(amplitude, size):\n",
" return randn(size) * amplitude * psf_supersample_factor"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 200)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x10ac32ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"flat=randn(10,10)*0.01+1\n",
"flat=nd.zoom(flat,psf_supersample_factor,order=0,mode=\"wrap\")\n",
"imshow(flat,interpolation=\"nearest\")\n",
"\n",
"# Autoguider jitter in pixels\n",
"jitterx = create_jitter(autoguider_rms, nimages)\n",
"jittery = create_jitter(autoguider_rms, nimages)\n",
"\n",
"plot(jitterx+100,jittery+100)\n",
"xlim(0,200)\n",
"ylim(0,200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's look at what the simulated autoguider residuals look like. Do they look reasonable?"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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R90LgNElbgJflr5F0mKS/A4iIncA5wDXArcBXImJTPv9fAAcCayXdLOkzTS/ApKtjWLBv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\nZpYkBygzM0uSA5SZmSXJAcrMzJL0/wEdMDMb+HpRrAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ac7bdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 1, sharex=True)\n",
"axes[0].plot(jitterx / psf_supersample_factor, '.')\n",
"axes[1].plot(jittery / psf_supersample_factor, '.')\n",
"axes[0].set(ylabel='X')\n",
"axes[1].set(ylabel='Y', xlabel='Frame')\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def arcsec_to_pix(arcsec):\n",
" scale = 5.\n",
" return arcsec / scale"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Noise 1.68224274616e-05 mmag\n"
]
},
{
"data": {
"image/png": 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IKkIi9ksOPo184xtw2WXR+3AhuaSFCRCfF0ojQiK2Yu+LXywtGxyExx6zZdwT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ad8aeb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f=[]\n",
"for i in range(nimages):\n",
" img=nd.shift(psf,(jitterx[i],jittery[i]))\n",
" imgt=img*flat\n",
" f.append(sum(imgt))\n",
"\n",
"plot(f/mean(f))\n",
"ylabel(\"Normalized flux\")\n",
"print(\"Noise\",f2mag(std(f)/mean(f)), \"mmag\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Systematic flat only\n",
"\n",
"Now lets do that systematically for different flat noise levels"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def syst_flat(ferr):\n",
" stPh=[]\n",
" for j in range(30):\n",
" flat=randn(10,10)*ferr+1\n",
" flat=nd.zoom(flat,20,order=0,mode=\"wrap\")\n",
" jitterx = create_jitter(autoguider_rms, nimages)\n",
" jittery = create_jitter(autoguider_rms, nimages)\n",
" f=[]\n",
" for i in range(nimages):\n",
" img=nd.shift(psf,(jitterx[i],jittery[i]))\n",
" imgt=img*flat\n",
" f.append(sum(imgt))\n",
" stPh.append(std(f)/mean(f))\n",
"\n",
" print(\"Flat Error : %f%% Mean FRMS %g Max FRMS %g\"%(ferr*nimages,f2mag(mean(stPh)),f2mag(max(stPh))))\n",
" return f2mag(mean(stPh)),f2mag(max(stPh))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Flat Error : 0.500000% Mean FRMS 2.71811e-05 Max FRMS 5.83329e-05\n",
"Flat Error : 0.889140% Mean FRMS 4.39248e-05 Max FRMS 8.32026e-05\n",
"Flat Error : 1.581139% Mean FRMS 6.79433e-05 Max FRMS 0.000196036\n",
"Flat Error : 2.811707% Mean FRMS 0.000140492 Max FRMS 0.000281725\n",
"Flat Error : 5.000000% Mean FRMS 0.000193873 Max FRMS 0.000343007\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10b43e128>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ni47EzIrUYXKQdHpEXCDp4nZejog4qbMTR8QCSScC9wB9gCERMVXS8dnrgyVt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b307908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ferr=logspace(log10(0.005),log10(0.05),5)\n",
"\n",
"sfer=[]\n",
"\n",
"for e in ferr:\n",
" sfer.append(syst_flat(e))\n",
" \n",
"sfer=array(sfer)\n",
"plot(ferr*nimages,sfer[:,1]*1000,\".-\")\n",
"ylabel(\"Maximum error in mmag\")\n",
"xlabel(\"Amplitude of the error on the flat in %\")\n",
"title(\"FWHM 1.45 pixel\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Effect of the Intrapixel sentitivity variations"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"The intra-pixel sensitivity of our chip is unknown, let's suppose a situation similar to the one of Kepler. Variation should be \"small\" as one have a back illuminated CCD chip. From the Kepler doc it seems more over that the effect should be more sensitive in the red as apparently the residual structure is due to some effects of the electrodes that are below the CCD and that are seem much more by the red phtotons as they are absorbed much deeper.\n",
"\n",
"I tried to produce similar shapes and amplitude simply the Peak-Valley over one pixel is set to 10%"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"(X1,Y1)=indices((20,20))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10afceda0>]"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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P4E+efhp+8hNISPDfmGd3zto8E8fF8J7DKTpWxOna01abYhq7ju0iIS6B+Jh4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\nTmJA4+fbzsCsR9uErcV+0qSWz49LHRe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wnavmlxhVDbx6j+pNVRqNRhMC6LaEGo1GEwJo\nsddoNJoQQIu9RqPRhABa7DUajSYE0GKv0Wg0IYAWe41GowkBtNhrNBpNCKDFXqPRaEKA/w+qfW0R\nXWzG/wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b105d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import scipy.signal as sig\n",
"plot(sig.general_gaussian(20,2,14))\n",
"plot(0.95-0.05*sin(arange(20)))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x10c325dd8>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/simon/Desktop/flat-analysis/venv/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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swC1MUmUMzPBxfcgAIzDPkz+LkWtKU+uyOkXcAJmGWNMaG6V+WNCS6y5+9CXB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"text/plain": [
"<matplotlib.figure.Figure at 0x10c21c940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pixmap=(0.95-0.05*sin(Y1/2.))*tile(sig.general_gaussian(20,2,14).reshape(20,1),(1,20))\n",
"imshow(pixmap)\n",
"title(\"Variation on one pixel\")\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pixmap1=tile(pixmap,(10,10))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"flat1=randn(10,10)*0.01+1\n",
"flat1=repeat(repeat(flat1,20,axis=1),20,axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/simon/Desktop/flat-analysis/venv/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n"
]
},
{
"data": {
"text/plain": [
"(0, 200)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/simon/Desktop/flat-analysis/venv/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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+ccTP9ajKK7JrUT1+p3xM+Mecw+Oe3ftn9vv3NxR9RXGhbRqqvKSuKvZPHzid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\nS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ZNmCaqu1CDb+VjYuIlYBDDshv+KEsPSydKcx595nhNrA+4dfYH5dFzX03WDsszRTZ2n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\nlPM3fshfKZNLWbW+xZK+XtGqw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ee5pJWLODZdS3BeZbpEgDiIsezpOVkm5k0sSTkv6zmR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c2e9cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(1)\n",
"imshow(flat1*pixmap1,cmap=\"bone\")\n",
"plot(jitterx+100,jittery+100)\n",
"contour(psf)\n",
"\n",
"xlim(0,200)\n",
"ylim(0,200)\n"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"f=[]\n",
"for i in range(nimages):\n",
" img=nd.shift(psf,(jitterx[i],jittery[i]-10))\n",
" imgt=img*flat1*pixmap1\n",
" f.append(sum(imgt))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Noise : 2.75721520869e-05 mmag\n"
]
},
{
"data": {
"image/png": 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XALAbwMeVUjMBXA7A7AHuAHCV8TlTiWiO15erq+PK32833VWrgGOOyd42cCBw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\n/wEqboAxhGC73wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c38cda0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(f/mean(f))\n",
"print(\"Noise : \",f2mag(std(f)/mean(f)), \" mmag\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Systematic all included"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Flat Error : 0.500000% Mean FRMS 7.08001e-05 Max FRMS 0.000105264\n",
"Flat Error : 0.889140% Mean FRMS 7.43501e-05 Max FRMS 0.000136271\n",
"Flat Error : 1.581139% Mean FRMS 8.3208e-05 Max FRMS 0.000157043\n",
"Flat Error : 2.811707% Mean FRMS 0.000102931 Max FRMS 0.000153311\n",
"Flat Error : 5.000000% Mean FRMS 0.000217399 Max FRMS 0.000422364\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10c6b1668>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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T0z0Nlc7JwcysFf/v/8F556XEsNpqeUfTOVpNDpIuI82wWleJCuADYErdg3rMzCrV00/D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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c6a9390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"grx=[0,-10,10,10,-10]\n",
"gry=[0,-10,-10,10,10]\n",
"\n",
"def syst_flat(ferr):\n",
" stPh=[]\n",
" for k in range(5):\n",
" for j in range(5):\n",
" flat1=randn(10,10)*ferr+1\n",
" flat1=repeat(repeat(flat1,20,axis=1),20,axis=0)\n",
" jitterx = create_jitter(autoguider_rms, nimages)+grx[k]\n",
" jittery = create_jitter(autoguider_rms, nimages)+gry[k]\n",
" f=[]\n",
" for i in range(nimages):\n",
" img=nd.shift(psf,(jitterx[i],jittery[i]))\n",
" imgt=img*flat1*pixmap1\n",
" f.append(sum(imgt))\n",
" stPh.append(std(f)/mean(f))\n",
"\n",
" print(\"Flat Error : %f%% Mean FRMS %g Max FRMS %g\"%(ferr*nimages,f2mag(mean(stPh)),f2mag(max(stPh))))\n",
" return f2mag(mean(stPh)),f2mag(max(stPh))\n",
"\n",
"\n",
"ferr=logspace(log10(0.005),log10(0.05),5)\n",
"\n",
"sfer=[]\n",
"\n",
"for e in ferr:\n",
" sfer.append(syst_flat(e))\n",
" \n",
"sfer=array(sfer)\n",
"plot(ferr*nimages,sfer[:,1]*1000,\".-\")\n",
"ylabel(\"Error in mmag\")\n",
"xlabel(\"Amplitude of the error on the flat in %\")\n",
"title(\"FWHM 1.45 pixel\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Conclusion the effect of the non uniformity is pretty limitted\n",
"it seems in one night we get >200 flats with 30000 mean adu which means :"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"18000000 photons\n",
"Noise 0.0235702260396 %\n"
]
}
],
"source": [
"print(200*30000*3, \"photons\")\n",
"print(\"Noise \", sqrt(200*30000*3)/(200*30000*3)*100, \"%\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"thus we should not ne photon noise limited"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pixmap2=(pixmap1-0.66)\n",
"pixmap2=pixmap2/pixmap2.max()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now lets try to increase the non uniformity."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Flat Error : 0.500000% Mean FRMS 7.37283e-05 Max FRMS 0.000119694\n",
"Flat Error : 0.889140% Mean FRMS 7.54831e-05 Max FRMS 0.000149384\n",
"Flat Error : 1.581139% Mean FRMS 9.09246e-05 Max FRMS 0.000158992\n",
"Flat Error : 2.811707% Mean FRMS 0.000141923 Max FRMS 0.000288145\n",
"Flat Error : 5.000000% Mean FRMS 0.000211795 Max FRMS 0.000384306\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10d31cc18>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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stlveUVlncnIwsyU++gj++Ef49a+hf38YOhS+/OW8o7I8lLW2QNL+kiZLmirp7GZeHyjp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\ncHIwM7MmnBzMzKwJJwczM2vi/wMEs0KTJoo4EgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c6b96d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"grx=[0,-10,10,10,-10]\n",
"gry=[0,-10,-10,10,10]\n",
"\n",
"def syst_flat(ferr):\n",
" stPh=[]\n",
" for k in range(5):\n",
" for j in range(5):\n",
" flat1=randn(10,10)*ferr+1\n",
" flat1=repeat(repeat(flat1,20,axis=1),20,axis=0)\n",
" jitterx = create_jitter(autoguider_rms, nimages)+grx[k]\n",
" jittery = create_jitter(autoguider_rms, nimages)+gry[k]\n",
" f=[]\n",
" for i in range(nimages):\n",
" img=nd.shift(psf,(jitterx[i],jittery[i]))\n",
" imgt=img*flat1*pixmap2\n",
" f.append(sum(imgt))\n",
" stPh.append(std(f)/mean(f))\n",
"\n",
" print(\"Flat Error : %f%% Mean FRMS %g Max FRMS %g\"%(ferr*nimages,f2mag(mean(stPh)),f2mag(max(stPh))))\n",
" return f2mag(mean(stPh)),f2mag(max(stPh))\n",
"\n",
"\n",
"ferr=logspace(log10(0.005),log10(0.05),5)\n",
"\n",
"sfer=[]\n",
"\n",
"for e in ferr:\n",
" sfer.append(syst_flat(e))\n",
" \n",
"sfer=array(sfer)\n",
"plot(ferr*nimages,sfer[:,1]*1000,\".-\")\n",
"ylabel(\"Error in mmag\")\n",
"xlabel(\"Amplitude of the error on the flat in %\")\n",
"title(\"FWHM 1.45 pixel\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Conclusion** : it is difficult to explain our noise actual floor if the way we produce flats is photon noise limited. However if we have systematics in the flat production we could find some explanation. "
]
}
],
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"display_name": "Python 3",
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