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LEDs in an encoder in HSC are producing stray light on the detectors, producing the 'Eye of Y-band' feature. It can be removed by subtracting open-shutter darks. However, because the pattern of stray light varies with rotator angle, many dark exposures are required. To reduce the data volume for the darks, the images have been compressed using wavelets. The code here (provided by Sogo Mineo of NAOJ and only cleaned up a bit) retrieves the appropriate dark, uncompresses it and uses it to remove the stray light from an exposure. Some code here (provided by Satoshi Kawanomoto) may not meet coding standards, but we are accepting it as legacy code. Unfortunately, no tests are available for this code yet.
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from __future__ import absolute_import, division, print_function | ||
from .yStrayLight import * |
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# Copyright (C) 2017 HSC Software Team | ||
# Copyright (C) 2017 Satoshi Kawanomoto | ||
# | ||
# This program is free software: you can redistribute it and/or modify | ||
# it under the terms of the GNU General Public License as published by | ||
# the Free Software Foundation, either version 3 of the License, or | ||
# (at your option) any later version. | ||
# | ||
# This program is distributed in the hope that it will be useful, | ||
# but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
# GNU General Public License for more details. | ||
# | ||
# You should have received a copy of the GNU General Public License | ||
# along with this program. If not, see <http://www.gnu.org/licenses/>. | ||
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from __future__ import absolute_import, division, print_function | ||
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"""Module to calculate instrument rotator angle at start and end of observation""" | ||
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__all__ = ["inrStartEnd"] | ||
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import sys | ||
import numpy as np | ||
import astropy.io.fits as pyfits | ||
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### fixed parameters | ||
ltt_d = 19.82556 # dome latitude in degree | ||
lng_d = -155.47611 # dome longitude in degree | ||
mjd_J2000 = 51544.5 # mjd at J2000.0 (2000/01/01.5) | ||
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# refraction index of air | ||
# T=273.15[K], P=600[hPa], Pw=1.5[hPa], lambda=0.55[um] | ||
air_idx = 1.0 + 1.7347e-04 | ||
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# scale height of air | ||
air_sh = 0.00130 | ||
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def _mjd2jc2000(mjd): | ||
"""convert mjd to Julian century (J2000.0 origin)""" | ||
jc2000 = (mjd - mjd_J2000) / 36525.0 | ||
return jc2000 | ||
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def _precessionMatrix(jc2000): | ||
"""create precession matrix at the given time in Julian century""" | ||
zeta_A = np.deg2rad((2306.2181*jc2000 + 0.30188*jc2000**2.0 + 0.017998*jc2000**3.0)/3600.0) | ||
z_A = np.deg2rad((2306.2181*jc2000 + 1.09468*jc2000**2.0 + 0.018203*jc2000**3.0)/3600.0) | ||
theta_A = np.deg2rad((2004.3109*jc2000 - 0.42665*jc2000**2.0 - 0.041833*jc2000**3.0)/3600.0) | ||
precMat = np.matrix([[+np.cos(zeta_A)*np.cos(theta_A)*np.cos(z_A) - np.sin(zeta_A)*np.sin(z_A), | ||
-np.sin(zeta_A)*np.cos(theta_A)*np.cos(z_A) - np.cos(zeta_A)*np.sin(z_A), | ||
-np.sin(theta_A)*np.cos(z_A)], | ||
[+np.cos(zeta_A)*np.cos(theta_A)*np.sin(z_A) + np.sin(zeta_A)*np.cos(z_A), | ||
-np.sin(zeta_A)*np.cos(theta_A)*np.sin(z_A) + np.cos(zeta_A)*np.cos(z_A), | ||
-np.sin(theta_A)*np.sin(z_A)], | ||
[+np.cos(zeta_A)*np.sin(theta_A), | ||
-np.sin(zeta_A)*np.sin(theta_A), | ||
+np.cos(theta_A)]]) | ||
return precMat | ||
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def _mjd2gmst(mjd): | ||
"""convert mjd to GMST(Greenwich mean sidereal time)""" | ||
mjd_f = mjd % 1 | ||
jc2000 = _mjd2jc2000(mjd) | ||
gmst_s = ((6.0*3600.0 + 41.0*60.0 + 50.54841) + | ||
8640184.812866*jc2000 + 0.093104*jc2000**2.0 - 0.0000062*jc2000**3.0 + | ||
mjd_f*86400.0) | ||
gmst_d = (gmst_s % 86400)/240.0 | ||
return gmst_d | ||
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def _gmst2lmst(gmst_d): | ||
"""convert GMST to LMST(mean local sidereal time)""" | ||
lmst_d = (gmst_d + lng_d) % 360 | ||
return lmst_d | ||
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def _sph2vec(ra_d, de_d): | ||
"""convert spherical coordinate to the Cartesian coordinates (vector)""" | ||
ra_r = np.deg2rad(ra_d) | ||
de_r = np.deg2rad(de_d) | ||
vec = np.array([[np.cos(ra_r)*np.cos(de_r)], | ||
[np.sin(ra_r)*np.cos(de_r)], | ||
[np.sin(de_r)]]) | ||
return vec | ||
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def _vec2sph(vec): | ||
"""convert the Cartesian coordinates vector to shperical coordinates""" | ||
ra_r = np.arctan2(vec[1, 0], vec[0, 0]) | ||
de_r = np.arcsin(vec[2, 0]) | ||
ra_d = np.rad2deg(ra_r) | ||
de_d = np.rad2deg(de_r) | ||
return ra_d, de_d | ||
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def _ra2ha(ra_d, lst_d): | ||
"""convert right ascension to hour angle at given LST""" | ||
ha_d = (lst_d - ra_d)%360 | ||
return ha_d | ||
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def _eq2hz(ha_d, de_d): | ||
"""convert equatorial coordinates to the horizontal coordinates""" | ||
ltt_r = np.deg2rad(ltt_d) | ||
ha_r = np.deg2rad(ha_d) | ||
de_r = np.deg2rad(de_d) | ||
zd_r = np.arccos(+np.sin(ltt_r)*np.sin(de_r) + np.cos(ltt_r)*np.cos(de_r)*np.cos(ha_r)) | ||
az_r = np.arctan2(+np.cos(de_r)*np.sin(ha_r), | ||
-np.cos(ltt_r)*np.sin(de_r) + np.sin(ltt_r)*np.cos(de_r)*np.cos(ha_r)) | ||
zd_d = np.rad2deg(zd_r) | ||
az_d = np.rad2deg(az_r) | ||
al_d = 90.0 - zd_d | ||
return al_d, az_d | ||
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def _air_idx(): | ||
"""return the air refraction index""" | ||
return air_idx | ||
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def _atm_ref(al_d): | ||
"""return the atmospheric refraction at given altitude""" | ||
if al_d > 20.0: | ||
zd_r = np.deg2rad(90.0 - al_d) | ||
else: | ||
zd_r = np.deg2rad(70.0) | ||
r0 = _air_idx()-1.0 | ||
sh = air_sh | ||
R0 = (1.0 - sh)*r0 - sh*r0**2/2.0 + sh**2*r0*2.0 | ||
R1 = r0**2/2.0 + r0**3/6.0 - sh*r0 - sh*r0**2*11.0/4.0 + sh**2*r0*5.0 | ||
R2 = r0**3 - sh*r0**2*9.0/4.0 + sh**2*r0*3.0 | ||
R = R0*np.tan(zd_r) + R1*(np.tan(zd_r))**3 + R2*(np.tan(zd_r))**5 | ||
return np.rad2deg(R) | ||
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def _mal2aal(mal_d): | ||
"""convert mean altitude to apparent altitude""" | ||
aal_d = mal_d + _atm_ref(mal_d) | ||
return aal_d | ||
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def _pos2adt(al_t_d, al_s_d, delta_az_d): | ||
"""convert altitudes of telescope and star and relative azimuth to angular distance and position angle""" | ||
zd_t_r = np.deg2rad(90.0-al_t_d) | ||
zd_s_r = np.deg2rad(90.0-al_s_d) | ||
daz_r = np.deg2rad(delta_az_d) | ||
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ad_r = np.arccos(np.cos(zd_t_r)*np.cos(zd_s_r) + np.sin(zd_t_r)*np.sin(zd_s_r)*np.cos(daz_r)) | ||
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if ad_r > 0.0: | ||
pa_r = np.arcsin(np.sin(zd_s_r)*np.sin(daz_r)/np.sin(ad_r)) | ||
else: | ||
pa_r = 0.0 | ||
ad_d = np.rad2deg(ad_r) | ||
pa_d = np.rad2deg(pa_r) | ||
if (zd_t_r < zd_s_r): | ||
pa_d = 180.0 - pa_d | ||
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return ad_d, pa_d | ||
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def _addpad2xy(ang_dist_d, p_ang_d, inr_d): | ||
"""convert angular distance, position angle, and instrument rotator angle to position on the cold plate""" | ||
t = 90.0-(p_ang_d-inr_d) | ||
x = np.cos(np.deg2rad(t)) | ||
y = np.sin(np.deg2rad(t)) | ||
return x, y | ||
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def _gsCPposNorth(ra_t_d, de_t_d, inr_d, mjd): | ||
jc2000 = _mjd2jc2000(mjd) | ||
pm = _precessionMatrix(jc2000) | ||
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vt = _sph2vec(ra_t_d, de_t_d) | ||
vt_mean = np.dot(pm, vt) | ||
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(mean_ra_t_d, mean_de_t_d) = _vec2sph(vt_mean) | ||
mean_ra_s_d = mean_ra_t_d | ||
mean_de_s_d = mean_de_t_d+0.75 | ||
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gmst_d = _mjd2gmst(mjd) | ||
lmst_d = _gmst2lmst(gmst_d) | ||
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mean_ha_t_d = _ra2ha(mean_ra_t_d, lmst_d) | ||
mean_ha_s_d = _ra2ha(mean_ra_s_d, lmst_d) | ||
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(mean_al_t_d, mean_az_t_d) = _eq2hz(mean_ha_t_d, mean_de_t_d) | ||
(mean_al_s_d, mean_az_s_d) = _eq2hz(mean_ha_s_d, mean_de_s_d) | ||
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apparent_al_t_d = _mal2aal(mean_al_t_d) | ||
apparent_al_s_d = _mal2aal(mean_al_s_d) | ||
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delta_az_d = mean_az_s_d - mean_az_t_d | ||
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(ang_dist_d, p_ang_d) = _pos2adt(apparent_al_t_d, apparent_al_s_d, delta_az_d) | ||
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(x, y) = _addpad2xy(ang_dist_d, p_ang_d, inr_d) | ||
return x, y | ||
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def _getDataArrayFromFITSFileWithHeader(pathToFITSFile): | ||
"""return array of pixel data""" | ||
fitsfile = pyfits.open(pathToFITSFile) | ||
dataArray = fitsfile[0].data | ||
fitsHeader = fitsfile[0].header | ||
fitsfile.close() | ||
return dataArray, fitsHeader | ||
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def _minorArc(angle1, angle2): | ||
"""e.g. input (-179, 179) -> output (-179, -181)""" | ||
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angle1 = (angle1 + 180.0) % 360 - 180.0 | ||
angle2 = (angle2 + 180.0) % 360 - 180.0 | ||
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if angle1 < angle2: | ||
if angle2 - angle1 > 180.0: | ||
angle2 -= 360.0 | ||
elif angle2 < angle1: | ||
if angle1 - angle2 > 180.0: | ||
angle1 -= 360.0 | ||
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# Try to place [angle1, angle2] within [-270, +270] | ||
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if min(angle1, angle2) < -270.0: | ||
angle1 += 360.0 | ||
angle2 += 360.0 | ||
if max(angle1, angle2) > 270.0: | ||
angle1 -= 360.0 | ||
angle2 -= 360.0 | ||
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return angle1, angle2 | ||
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def inrStartEnd(header): | ||
"""Calculate instrument rotator angle for start and end of exposure | ||
Parameters | ||
---------- | ||
header : `lsst.daf.base.PropertySet` | ||
FITS header for exposure to correct | ||
Returns | ||
------- | ||
start : `float` | ||
Instrument rotator angle at start of exposure, degrees. | ||
end : `float` | ||
Instrument rotator angle at end of exposure, degrees. | ||
""" | ||
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inst_pa = header.getDouble('INST-PA') | ||
ra_t_d = header.getDouble('CRVAL1') | ||
de_t_d = header.getDouble('CRVAL2') | ||
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mjd_str = header.getDouble('MJD-STR') | ||
mjd_end = header.getDouble('MJD-END') | ||
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inr_d = 0.00 | ||
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(x, y) = _gsCPposNorth(ra_t_d, de_t_d, inr_d, mjd_str) | ||
x_inr_str = 90.0 - np.rad2deg(np.arctan2(y, x)) + inst_pa | ||
(x, y) = _gsCPposNorth(ra_t_d, de_t_d, inr_d, mjd_end) | ||
x_inr_end = 90.0 - np.rad2deg(np.arctan2(y, x)) + inst_pa | ||
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return _minorArc(x_inr_str, x_inr_end) |
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