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# Copyright (c) 2016 Weitian LI <liweitianux@live.com>
# MIT license
"""
Diffuse Galactic free-free emission simulations.
"""
import os
import logging
from datetime import datetime, timezone
import numpy as np
from astropy.io import fits
import astropy.units as au
import healpy as hp
from ..utils import read_fits_healpix, write_fits_healpix
logger = logging.getLogger(__name__)
class FreeFree:
"""
Simulate the diffuse Galactic free-free emission.
The [Dickinson2003] method is followed to derive the free-free template.
The H\alpha survey map [Finkbeiner2003] is first corrected for dust
absorption using the infrared 100-\mu{}m dust map [Schlegel1998],
and then converted to free-free emission map (brightness temperature).
Parameters
----------
configs : ConfigManager object
An `ConfigManager` object contains default and user configurations.
For more details, see the example config specification.
Attributes
----------
???
References
----------
.. [Dickinson2003]
Dickinson, C.; Davies, R. D.; Davis, R. J.,
"Towards a free-free template for CMB foregrounds",
2003, MNRAS, 341, 369,
http://adsabs.harvard.edu/abs/2003MNRAS.341..369D
.. [Finkbeiner2003]
Finkbeiner, Douglas P.,
"A Full-Sky Hα Template for Microwave Foreground Prediction",
2003, ApJS, 146, 407,
http://adsabs.harvard.edu/abs/2003ApJS..146..407F
.. [Schlegel1998]
Schlegel, David J.; Finkbeiner, Douglas P.; Davis, Marc,
"Maps of Dust Infrared Emission for Use in Estimation of Reddening
and Cosmic Microwave Background Radiation Foregrounds",
1998, ApJ, 500, 525,
http://adsabs.harvard.edu/abs/1998ApJ...500..525S
"""
def __init__(self, configs):
self.configs = configs
self._set_configs()
self._load_halphamap()
self._load_dustmap()
def _set_configs(self):
"""Load the configs and set the corresponding class attributes."""
self.halphamap_path = self.configs.get_path(
"galactic/freefree/halphamap")
self.halphamap_unit = au.Unit(
self.configs.getn("galactic/freefree/halphamap_unit"))
self.dustmap_path = self.configs.get_path(
"galactic/freefree/dustmap")
self.dustmap_unit = au.Unit(
self.configs.getn("galactic/freefree/dustmap_unit"))
# output
self.prefix = self.configs.getn("galactic/freefree/prefix")
self.save = self.configs.getn("galactic/freefree/save")
self.output_dir = self.configs.get_path(
"galactic/freefree/output_dir")
self.filename_pattern = self.configs.getn("output/filename_pattern")
self.use_float = self.configs.getn("output/use_float")
self.clobber = self.configs.getn("output/clobber")
#
self.nside = self.configs.getn("common/nside")
self.freq_unit = au.Unit(self.configs.getn("frequency/unit"))
#
logger.info("Loaded and set up configurations")
def _load_halphamap(self):
"""Load the H{\alpha} map, and upgrade/downgrade the resolution
to match the output Nside.
"""
self.halphamap, self.halphamap_header = read_fits_healpix(
self.halphamap_path)
halphamap_nside = self.halphamap_header["NSIDE"]
logger.info("Loaded H[alpha] map from {0} (Nside={1})".format(
self.halphamap_path, halphamap_nside))
# TODO: Validate & convert unit
if self.halphamap_unit != au.Unit("Rayleigh"):
raise ValueError("unsupported Halpha map unit: {0}".format(
self.halphamap_unit))
# Upgrade/downgrade resolution
if halphamap_nside != self.nside:
self.halphamap = hp.ud_grade(self.halphamap, nside_out=self.nside)
logger.info("Upgrade/downgrade H[alpha] map from Nside "
"{0} to {1}".format(halphamap_nside, self.nside))
def _load_dustmap(self):
"""Load the dust map, and upgrade/downgrade the resolution
to match the output Nside.
"""
self.dustmap, self.dustmap_header = read_fits_healpix(
self.dustmap_path)
dustmap_nside = self.dustmap_header["NSIDE"]
logger.info("Loaded dust map from {0} (Nside={1})".format(
self.dustmap_path, dustmap_nside))
# TODO: Validate & convert unit
if self.dustmap_unit != au.Unit("MJy / sr"):
raise ValueError("unsupported dust map unit: {0}".format(
self.dustmap_unit))
# Upgrade/downgrade resolution
if dustmap_nside != self.nside:
self.dustmap = hp.ud_grade(self.dustmap, nside_out=self.nside)
logger.info("Upgrade/downgrade dust map from Nside "
"{0} to {1}".format(dustmap_nside, self.nside))
def _correct_dust_absorption(self):
"""Correct the H{\alpha} map for dust absorption using the
100-{\mu}m dust map.
References: [Dickinson2003]: Eq.(1, 3); Sec.(2.5)
"""
if hasattr(self, "dust_corrected") and self.dust_corrected:
return
#
logger.info("Correct H[alpha] map for dust absorption")
# Effective dust fraction in the LoS actually absorbing Halpha
f_dust = 0.33
logger.info("Effective dust fraction: {0}".format(f_dust))
# NOTE:
# Mask the regions where the true Halpha absorption is uncertain.
# When the dust absorption goes rather large, the true Halpha
# absorption can not well determined.
# Therefore, the regions where the calculated Halpha absorption
# greater than 1.0 mag are masked out.
halpha_abs_th = 1.0 # Halpha absorption threshold, unit: [ mag ]
# Corresponding dust absorption threshold, unit: [ MJy / sr ]
dust_abs_th = halpha_abs_th / 0.0462 / f_dust
logger.info("Dust absorption mask threshold: " +
"{0:.1f} MJy/sr ".format(dust_abs_th) +
"<-> H[alpha] absorption threshold: " +
"{0:.1f} mag".format(halpha_abs_th))
mask = (self.dustmap > dust_abs_th)
self.dustmap[mask] = np.nan
fp_mask = 100 * mask.sum() / self.dustmap.size
logger.warning("Dust map masked fraction: {0:.1f}%".format(fp_mask))
#
halphamap_corr = self.halphamap * 10**(self.dustmap * 0.0185 * f_dust)
self.halphamap = halphamap_corr
self.dust_corrected = True
logger.info("Done dust absorption correction")
def _calc_ratio_a(self, Te, nu_GHz):
"""Calculate the ratio factor a(T, nu), which will be used to
transform the Halpha emission (Rayleigh) to free-free emission
brightness temperature (mK).
References: [Dickinson2003], Eq.(8)
"""
term1 = 0.366 * nu_GHz**0.1 * Te**(-0.15)
term2 = np.log(4.995e-2 / nu_GHz) + 1.5*np.log(Te)
a = term1 * term2
return a
def _simulate_frequency(self, frequency):
"""Simulate the free-free map at the specified frequency.
References: [Dickinson2003], Eq.(11)
NOTE: [Dickinson2003], Eq.(11) may wrongly have the "10^3" term.
"""
# Correct for dust absorption first
self._correct_dust_absorption()
# Assumed electron temperature [ K ]
Te = 7000.0
T4 = Te / 1e4
nu = frequency * self.freq_unit.to(au.GHz) # frequency [ GHz ]
ratio_a = self._calc_ratio_a(Te, nu)
# NOTE: ignored the "10^3" term in the referred equation
ratio_mK_R = (8.396 * ratio_a * nu**(-2.1) *
T4**0.667 * 10**(0.029/T4) * (1+0.08))
# Use "Kelvin" as the brightness temperature unit
ratio_K_R = ratio_mK_R * au.mK.to(au.K)
hpmap_f = self.halphamap * ratio_K_R
return hpmap_f
def _make_header(self):
"""Make the header with detail information (e.g., parameters and
history) for the simulated products.
"""
header = fits.Header()
header["COMP"] = ("Galactic free-free emission",
"Emission component")
header["CREATOR"] = (__name__, "File creator")
# TODO:
history = []
comments = []
for hist in history:
header.add_history(hist)
for cmt in comments:
header.add_comment(cmt)
self.header = header
logger.info("Created FITS header")
def output(self, hpmap, frequency):
"""Write the simulated free-free map to disk with proper header
keywords and history.
"""
if not os.path.exists(self.output_dir):
os.mkdir(self.output_dir)
logger.info("Created output dir: {0}".format(self.output_dir))
#
filename = self.filename_pattern.format(prefix=self.prefix,
frequency=frequency)
filename += ".fits"
filepath = os.path.join(self.output_dir, filename)
if not hasattr(self, "header"):
self._make_header()
header = self.header.copy()
header["FREQ"] = (frequency, "Frequency [ MHz ]")
header["DATE"] = (
datetime.now(timezone.utc).astimezone().isoformat(),
"File creation date"
)
if self.use_float:
hpmap = hpmap.astype(np.float32)
write_fits_healpix(filepath, hpmap, header=header,
clobber=self.clobber)
logger.info("Write simulated map to file: {0}".format(filepath))
def simulate(self, frequencies):
"""Simulate the free-free map at the specified frequencies."""
hpmaps = []
for f in np.array(frequencies, ndmin=1):
logger.info("Simulating free-free map at {0} ({1}) ...".format(
f, self.freq_unit))
hpmap_f = self._simulate_frequency(f)
hpmaps.append(hpmap_f)
if self.save:
self.output(hpmap_f, f)
return hpmaps
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