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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# General: Brightness / Luminosity of HII regions"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import pylab as pl\n",
"from astropy import units as u\n",
"from astropy import constants\n",
"import radio_beam\n",
"import pylab as pl\n",
"from dust_emissivity import dust\n",
"#from constants import frequency as cfreq, distance\n",
"\n",
"\n",
"from astropy.visualization import quantity_support\n",
"quantity_support() \n",
"pl.matplotlib.style.use('default')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"cfreq = 100*u.GHz\n",
"distance = 8.1*u.kpc"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def dens(Qlyc=1e45*u.s**-1, R=0.1*u.pc, alpha_b=2e-13*u.cm**3*u.s**-1):\n",
" return (((3 * Qlyc)/(4 * np.pi * R**3 * alpha_b))**0.5).to(u.cm**-3)\n",
"\n",
"def EMfunc(Qlyc=1e45*u.s**-1, R=0.1*u.pc, alpha_b=2e-13*u.cm**3*u.s**-1):\n",
" return (R * (((3 * Qlyc)/(4 * np.pi * R**3 * alpha_b))**0.5)**2).to(u.cm**-6*u.pc)\n",
"\n",
"def tau(nu, EM, Te=7000*u.K):\n",
" # eq 4.60 of https://www.cv.nrao.edu/~sransom/web/Ch4.html\n",
" return 3.28e-7 * (Te/(1e4*u.K))**-1.35 * (nu/u.GHz)**-2.1 * (EM/(u.cm**-6*u.pc))\n",
"\n",
"def Tb(Te=7000*u.K, nu=cfreq, EM=EMfunc()):\n",
" return Te * (1-np.exp(-tau(nu=nu, EM=EM, Te=Te)))\n",
" #return (8.235e-2 * (Te/(u.K))**-0.35 * (nu/u.GHz)**-2.1 * (EM/u.cm**-6/u.pc)*u.K).to(u.K)\n",
"\n",
"def Tb_beamdiluted(Te=7000*u.K, nu=cfreq, R=0.1*u.pc, Qlyc=1e45*u.s**-1, beam=4000*u.au):\n",
" tb = Tb(Te=Te, nu=nu, EM=EMfunc(R=R, Qlyc=Qlyc))\n",
" if beam < R:\n",
" return tb\n",
" else:\n",
" return (tb * (R/beam)**2).to(u.K)\n",
"\n",
"def Snu_freefree(Te=7000*u.K, nu=cfreq, EM=None, R=0.1*u.pc, Qlyc=1e45*u.s**-1, beam=4000*u.au,\n",
" angular_beam=0.5*u.arcsec):\n",
" if EM is None:\n",
" tb = Tb(Te=Te, nu=nu, EM=EMfunc(R=R, Qlyc=Qlyc))\n",
" else:\n",
" tb = Tb(Te=Te, nu=nu, EM=EM)\n",
" \n",
" angular_beam = radio_beam.Beam(angular_beam) if angular_beam.unit.is_equivalent(u.arcsec) else angular_beam.to(u.sr)\n",
" \n",
" if beam < R:\n",
" return tb.to(u.mJy, u.brightness_temperature(frequency=nu, beam_area=angular_beam))\n",
" else:\n",
" return (tb * (R/beam)**2).to(u.mJy, u.brightness_temperature(frequency=nu, beam_area=angular_beam))\n",
"\n",
"def gff(nu, Te=1e4*u.K, Zi=1):\n",
" \"\"\"\n",
" Draine eqn 10.7\n",
" \"\"\"\n",
" valid_check = (Zi * (nu/u.GHz) / (Te/(1e4*u.K))**1.5)\n",
" if np.any(valid_check < 0.14):\n",
" raise ValueError(\"Invalid approximation\")\n",
" elif np.any(valid_check > 250):\n",
" # eqn 10.9\n",
" return np.log(np.exp(5.960-3**0.5/np.pi*np.log(Zi*(nu/u.GHz)*(Te/(1e4*u.K))**-1.5)) + np.exp(1))\n",
" return 6.155 * (Zi * (nu/u.GHz))**-0.118 * (Te/(1e4*u.K))**0.177\n",
" \n",
"def freefree_draine_coeff(nu, Te=1e4*u.K, Zi=1):\n",
" \"\"\"\n",
" Draine eqn 10.1, 10.2\n",
" \"\"\"\n",
" const = 8/3 * (2*np.pi/3)**0.5 * constants.e.esu**6/constants.m_e**2/constants.c**3 * (constants.m_e/(constants.k_B*1e4*u.K))**0.5\n",
" unit = u.erg/u.s/u.Hz*u.cm**3\n",
" assert np.abs(const.to(unit) - 5.444e-41*unit) < 0.001e-41*unit\n",
" gaunt = gff(nu=nu, Te=Te)\n",
" boltz = np.exp(-constants.h*nu / (constants.k_B*Te))\n",
" temfac = (Te/(1e4*u.K))**-0.5\n",
" # this is multiplied by density squared\n",
" return const.to(unit) * boltz * temfac * u.sr**-1 * Zi**2 * gaunt\n",
"\n",
"assert np.abs(freefree_draine_coeff(1*u.GHz) - 3.35e-40*u.erg*u.cm**3/u.s/u.Hz/u.sr).value < 0.01e-40\n",
"\n",
"def freefree_draine(nu, EM, Te=1e4*u.K):\n",
" coef = freefree_draine_coeff(nu=nu, Te=Te)\n",
" assert coef.unit.is_equivalent(u.cm**3*u.erg/u.Hz/u.s/u.sr)\n",
" return (coef*EM).to(u.erg/u.s/u.cm**2/u.Hz/u.sr)\n",
" \n",
"def snu_dust(density=1e4*u.cm**-3, Td=40*u.K, radius=4000*u.au, distance=distance, cfreq=cfreq):\n",
" mass = (density * 2.8 * u.Da * 4/3. * radius**3).to(u.M_sun)\n",
" print(mass)\n",
" beam = radio_beam.Beam((radius/distance).to(u.arcsec,u.dimensionless_angles()))\n",
" flux = dust.snuofmass(nu=cfreq, mass=mass, beamomega=beam, temperature=Td, distance=distance)\n",
" return flux"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Some value checks: these match Draine's values exactly (there are assertions above that enforce this)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$3.3509917 \\times 10^{-40} \\; \\mathrm{\\frac{cm^{3}\\,erg}{Hz\\,s\\,sr}}$"
],
"text/plain": [
"<Quantity 3.35099167e-40 cm3 erg / (Hz s sr)>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"freefree_draine_coeff(1*u.GHz)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$1.034008 \\times 10^{-15} \\; \\mathrm{\\frac{erg}{Hz\\,s\\,sr\\,cm^{2}}}$"
],
"text/plain": [
"<Quantity 1.03400799e-15 erg / (cm2 Hz s sr)>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"freefree_draine(1*u.GHz, EM=1e6*u.cm**-6*u.pc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set up PaA emission calculation (and halpha and hbeta)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"functools.partial(<function ammonia_radex at 0x7f1f76ecd8c0>, interpolator=None)\n"
]
}
],
"source": [
"# from table in Draine\n",
"alpha_b_5e3 = 4.53e-13*u.cm**3*u.s**-1\n",
"alpha_b_1e4 = 2.59e-13*u.cm**3*u.s**-1\n",
"alpha_b_2e4 = 1.43e-13*u.cm**3*u.s**-1\n",
"alpha_b_beta_1e4 = 3.03e-14*u.cm**3*u.s**-1\n",
"\n",
"def alpha_eff(T, line='beta'):\n",
" \"\"\" H-alpha recombination coefficient. eqn 14.8, 14.9 in draine 2001\"\"\"\n",
" T4 = (T/(1e4*u.K)).decompose().value\n",
" if line == 'alpha':\n",
" return 1.17e-13 * T4**(-0.942-0.031*np.log(T4)) * u.cm**3*u.s**-1\n",
" elif line == 'beta':\n",
" return 3.03e-14 * T4**(-0.874-0.058*np.log(T4)) * u.cm**3*u.s**-1\n",
"\n",
"hb_to_paa_1e4 = 0.336\n",
"alpha_paa = alpha_eff(1e4, line='beta') * hb_to_paa_1e4\n",
"\n",
"from pyspeckit.spectrum.models import hydrogen\n",
"wl_paa = hydrogen.wavelength['paschena']*u.um\n",
"e_paa = wl_paa.to(u.erg, u.spectral())\n",
"nu_paa = wl_paa.to(u.Hz, u.spectral())\n",
"\n",
"wl_hbeta = hydrogen.wavelength['balmerb']*u.um\n",
"nu_hbeta = wl_hbeta.to(u.Hz, u.spectral())\n",
"\n",
"wl_halpha = hydrogen.wavelength['balmera']*u.um\n",
"nu_halpha = wl_halpha.to(u.Hz, u.spectral())\n",
"\n",
"ha_to_hb_1e4=2.86\n",
"\n",
"def snu_halpha(Te=10000*u.K, EM=EMfunc(alpha_b=alpha_b_1e4), angular_area=4*np.pi*u.sr):\n",
" jhb_4p = 1.24e-25 * u.erg * u.cm**3 / u.s\n",
" alpha_rel = alpha_eff(T=Te, line='beta') / alpha_b_beta_1e4\n",
" flux = EM * jhb_4p * ha_to_hb_1e4\n",
" return (flux/nu_halpha).to(u.mJy)/angular_area\n",
"\n",
"\n",
"def snu_hbeta(Te=10000*u.K, EM=EMfunc(alpha_b=alpha_b_1e4), angular_area=4*np.pi*u.sr):\n",
" jhb_4p = 1.24e-25 * u.erg * u.cm**3 / u.s\n",
" flux = EM * jhb_4p\n",
" return (flux/nu_hbeta).to(u.mJy)/angular_area\n",
"\n",
"def snu_paa(Te=10000*u.K, EM=EMfunc(alpha_b=alpha_b_1e4), angular_area=4*np.pi*u.sr):\n",
" # temperature dependence factor: jhb ~ alpha, so this accounts for the T-dependence of j\n",
" # (which is not explicitly given in Draine)\n",
" alpha_rel = alpha_eff(T=Te, line='beta') / alpha_b_beta_1e4\n",
" jhb_4p = 1.24e-25 * u.erg * u.cm**3 / u.s * hb_to_paa_1e4 * alpha_rel\n",
" flux = EM * jhb_4p\n",
" return (flux/nu_paa).to(u.mJy)/angular_area"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calculations for NIR emission line / radio free free\n",
"\n",
"Using some simplifying assumptions, what is the expected surface brightness in Paschen $\\alpha$ vs free-free continuum?\n",
"\n",
"Assumptions:\n",
" * EM = $10^6$ cm$^{-6}$ pc (which we prove below is $\\tau<<1$)\n",
" * $T_{e} = 10^4$ K\n",
"\n",
"\n",
"Bally's equation:\n",
"$$ 4.88\\times10^{17} I_{H\\alpha} = EM$$"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 6.40060704 MJy / sr>,\n",
" <Quantity 9.17648799 MJy / sr>,\n",
" <Quantity 85.31502648 MJy / sr>,\n",
" <Quantity 85.51397531 MJy / sr>,\n",
" <Quantity 0.01116958>,\n",
" <Quantity 0.07502321>)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# some values to use about the PaA/radio ratio\n",
"# PaA surface brightness, free-free surface brightness at PaA\n",
"# free-free at 5 GHz from two methods\n",
"# optical depth at 5 GHz\n",
"# PaA / radio free-free ratio\n",
"(\n",
" snu_paa(Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr),\n",
" freefree_draine(nu=nu_paa, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr),\n",
" Snu_freefree(nu=5*u.GHz, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc, angular_beam=1*u.sr).to(u.MJy)/u.sr,\n",
" freefree_draine(nu=5*u.GHz, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr),\n",
" tau(5*u.GHz, EM=1e6*u.cm**-6*u.pc, Te=1e4*u.K),\n",
" snu_paa(Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr)/(Snu_freefree(nu=5*u.GHz, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc, angular_beam=1*u.sr).to(u.MJy)/u.sr )\n",
")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Some sanity checks: What is the line-to-continuum brightness ratio for PaA, HBeta, Halpha?"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 0.69750073>, <Quantity 5.20981836>, <Quantity 9.21375514>)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(snu_paa(Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr) / freefree_draine(nu=nu_paa, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr),\n",
" snu_hbeta(Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr) / freefree_draine(nu=nu_hbeta, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr),\n",
" snu_halpha(Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr) / freefree_draine(nu=nu_halpha, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc).to(u.MJy/u.sr))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Disagreement w/John's numbers here:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$1.4983357 \\times 10^{-15} \\; \\mathrm{\\frac{erg}{s\\,arcsec^{2}\\,cm^{2}}}$"
],
"text/plain": [
"<Quantity 1.4983357e-15 erg / (arcsec2 cm2 s)>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# John's calculation: he got EM=6.231e3 -> 1.5e-16 erg/s/cm^2/arcsec^2\n",
"(snu_paa(Te=1e4*u.K, EM=6.231e3*u.cm**-6*u.pc) * nu_paa ).to(u.erg/u.s/u.cm**2/u.arcsec**2)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"At 10.0 GHz, 10000.0 K, 1000000.0 pc / cm6 in 1.0 sr, \n",
" free-free=79.94293418605102 MJy / sr = 1.8790131436677098 mJy / arcsec2, \n",
" paa=6.400607040426754 MJy / sr = 0.15044262358977153 mJy / arcsec2, \n",
" tau=0.002605396609895643\n",
"PaA/freefree=0.08006469997123992\n"
]
}
],
"source": [
"frq = 10*u.GHz\n",
"Te = (1e4)*u.K\n",
"EM_ = 1e6*u.cm**-6*u.pc\n",
"angbm = 1*u.sr\n",
"sfreefree = Snu_freefree(nu=frq, Te=Te, EM=EM_, angular_beam=angbm).to(u.MJy)/u.sr\n",
"spaa = snu_paa(Te=Te, EM=EM_).to(u.MJy/u.sr)\n",
"taux = tau(nu=frq, EM=EM_, Te=Te)\n",
"print(f\"At {frq}, {Te}, {EM_} in {angbm}, \\n free-free={sfreefree} = {sfreefree.to(u.mJy/u.arcsec**2)}, \\n paa={spaa} = {spaa.to(u.mJy/u.arcsec**2)}, \\n tau={taux}\")\n",
"#print(f\"At {Te}, {EM} in {angbm}, paa={spaa}\")\n",
"print(f\"PaA/freefree={spaa/sfreefree}\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.1 GHz: S=3.072358374480745 MJy / sr, S/S_1GHz=0.035760649358541154, tau=41.2927535068487, tau/tau_1GHz=0.007943282347242812\n",
"1.0 GHz: S=85.91450182229244 MJy / sr, S/S_1GHz=1.0, tau=0.328, tau/tau_1GHz=1.0\n",
"5.0 GHz: S=85.31502648385526 MJy / sr, S/S_1GHz=0.9930224196646434, tau=0.011169579783472694, tau/tau_1GHz=29.365473577200476\n",
"10.0 GHz: S=79.94293418605102 MJy / sr, S/S_1GHz=0.9304940666641686, tau=0.002605396609895643, tau/tau_1GHz=125.89254117941674\n",
"20.0 GHz: S=74.66391464991582 MJy / sr, S/S_1GHz=0.8690490320755442, tau=0.0006077302482676971, tau/tau_1GHz=539.7131390694253\n"
]
}
],
"source": [
"frqs = [0.1, 1,5,10,20]*u.GHz\n",
"_ = list(zip(frqs,\n",
" Snu_freefree(nu=frqs, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc, angular_beam=1*u.sr).to(u.MJy)/u.sr,\n",
" Snu_freefree(nu=frqs, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc, angular_beam=1*u.sr) / Snu_freefree(nu=1*u.GHz, Te=1e4*u.K, EM=1e6*u.cm**-6*u.pc, angular_beam=1*u.sr),\n",
" tau(nu=frqs, EM=1e6*u.cm**-6*u.pc, Te=1e4*u.K),\n",
" tau(nu=1*u.GHz, EM=1e6*u.cm**-6*u.pc, Te=1e4*u.K) / tau(nu=frqs, EM=1e6*u.cm**-6*u.pc, Te=1e4*u.K),\n",
" ))\n",
"for row in _:\n",
" print(\"{0}: S={1}, S/S_1GHz={2}, tau={3}, tau/tau_1GHz={4}\".format(*row))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary:\n",
"\n",
"* PaA / Free Free = 0.08 times some factors\n",
"$$\n",
"\\newcommand{\\paa}{{\\mathrm{Pa}\\alpha}}\n",
"$$\n",
"\n",
"\n",
"$$S_{\\paa}(T_4,EM) = 6.4 \\left(\\frac{EM}{10^6 \\mathrm{~cm}^{-6} \\mathrm{~pc}}\\right)\\left( T_4^{-0.874-0.058 \\ln T_4} \\right) \\mathrm{MJy~sr}^{-1} $$\n",
"\n",
"$$S_{ff}(\\nu,T_4,EM) = 79.9 \\left(\\frac{EM}{10^6 \\mathrm{~cm}^{-6} \\mathrm{~pc}}\\right) \\left( T_4^{-1.35} \\right) \\left(\\frac{\\nu}{10 GHz}\\right)^{-0.1} \\mathrm{MJy~sr}^{-1} $$\n",
"\n",
"$$\\frac{S_{\\paa}}{S_{ff}(\\nu)} = 0.08 \\left(\\frac{\\nu}{10 GHz}\\right)^{0.1}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Below here are sanity checks and other unrelated things"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1f764d5b50>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1400x600 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Sanity checks: do the approximations above fit?\n",
"\n",
"frqs = np.geomspace(0.9, 20)*u.GHz\n",
"Te = (1e4)*u.K\n",
"EM_ = 1e6*u.cm**-6*u.pc\n",
"pl.figure(figsize=(14,6))\n",
"pl.subplot(1,3,1)\n",
"pl.plot(frqs, Snu_freefree(nu=frqs, Te=Te, EM=EM_, angular_beam=1*u.sr).to(u.MJy)/u.sr)\n",
"pl.plot(frqs, freefree_draine(nu=frqs, Te=Te, EM=EM_))\n",
"pl.plot(frqs, 79.9*(frqs/(10*u.GHz))**-0.1*u.MJy/u.sr)\n",
"pl.subplot(1,3,2)\n",
"Tes = np.geomspace(5000,20000)*u.K\n",
"pl.plot(Tes, snu_paa(Te=Tes, EM=EM_))\n",
"pl.plot(Tes, 6.4*(Tes/(1e4*u.K))**((-0.874-0.058*np.log(Tes/(1e4*u.K))))*u.MJy/u.sr, linewidth=6, zorder=-5)\n",
"pl.subplot(1,3,3)\n",
"pl.plot(frqs, snu_paa(Te=Te, EM=EM_) / (Snu_freefree(nu=frqs, Te=Te, EM=EM_, angular_beam=1*u.sr)/u.sr))\n",
"pl.plot(frqs, 0.08 * (frqs/(10*u.GHz))**0.1 )"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1f76639590>]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ratio depends on temperatures....\n",
"def tratio(T4):\n",
" return T4**(-0.874-0.058*np.log(T4)) / T4**-1.35\n",
"\n",
"pl.plot(np.linspace(0.5, 2), tratio(np.linspace(0.5 , 2)))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"dark_rn_pess = (((22*u.ph/(500*u.s) + 0.435*u.ph/u.s) * (e_paa/u.ph) / (24*u.cm/2)**2 / np.pi / nu_paa).to(u.mJy) / (0.806*u.arcsec)**2).to(u.MJy/u.sr)\n",
"dark_rn_opt = (((6.2*u.ph/(500*u.s) + 0.0123*u.ph/u.s) * (e_paa/u.ph) / (24*u.cm/2)**2 / np.pi / nu_paa).to(u.mJy) / (0.806*u.arcsec)**2).to(u.MJy/u.sr)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1f76438890>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.matplotlib.style.use('dark_background')\n",
"distances = np.geomspace(0.4, 20)*u.kpc\n",
"resoln = (distances * 2.35*u.arcsec).to(u.pc, u.dimensionless_angles())\n",
"pl.plot(distances, resoln)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 0.0, 0.0, 1.0)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = pl.gcf()\n",
"fig.get_facecolor()\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 0.01996324 MJy / sr>,\n",
" <Quantity 0.07985296 MJy / sr>,\n",
" <Quantity 0.0023693 MJy / sr>)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Qlyc = np.logspace(43,49,100)*u.s**-1\n",
"for radius in (0.05, 0.15, 0.5, 1.5)*u.pc:\n",
" EMs = EMfunc(R=radius, Qlyc=Qlyc)\n",
" snus = snu_paa(Te=1e4*u.K, EM=EMs).to(u.MJy/u.sr)\n",
" pl.loglog(Qlyc, snus, label=f'R={radius:0.2f}')\n",
"pl.legend(loc='best')\n",
"#pl.hlines(u.Quantity([dark_rn_opt, dark_rn_pess])*5, Qlyc.min(), Qlyc.max(), linestyle='--', color='k')\n",
"fivesig = 1.5e-16*5*(u.erg/u.cm**2/u.s/u.arcsec**2 / nu_paa).to(u.MJy/u.sr)\n",
"twentysig = 4*fivesig\n",
"bgcolor=pl.gcf().get_facecolor()\n",
"color = (1-bgcolor[0], 1-bgcolor[1], 1-bgcolor[2], bgcolor[3])\n",
"pl.hlines(u.Quantity([fivesig, twentysig]), Qlyc.min(), Qlyc.max(), linestyle='--', color=color)\n",
"pl.ylim(dark_rn_opt.value, pl.gca().get_ylim()[1])\n",
"pl.xlabel(\"Q$_{LyC}$ [ph s$^{-1}$]\")\n",
"pl.ylabel(\"Pa$\\\\alpha$ Surface Brightness\\n[MJy sr$^{-1}$]\")\n",
"pl.savefig(os.path.expanduser(\"~/spam_paschenalpha/paper/extended_HII_region_detectability.pdf\"), bbox_inches='tight')\n",
"fivesig, twentysig, dark_rn_opt"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1f763554d0>]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.semilogy(np.linspace(2000,20000), alpha_eff(np.linspace(2000,20000))*hb_to_paa_1e4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From 4.60 + 4.61 of http://www.cv.nrao.edu/~sransom/web/Ch4.html"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Where does 4.67 come from? It's mJy, apparently? I can't reproduce that from anything."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$S_{\\nu} = 4.67 \\left[1-\\exp\\left(-3.28\\times10^{-7} \\left(\\frac{T_e}{10^4 \\mathrm{K}}\\right)^{-1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{-2.1} \\frac{EM}{\\mathrm{cm}^{-6}\\mathrm{pc}} \\right) \\right]$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$T_{B,\\nu} = T_e \\left[1-\\exp\\left(-3.28\\times10^{-7} \\left(\\frac{T_e}{10^4 \\mathrm{K}}\\right)^{-1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{-2.1} \\frac{EM}{\\mathrm{cm}^{-6}\\mathrm{pc}} \\right) \\right]$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$EM = R n_h^2 = \\frac{3 Q_{lyc}}{4 \\pi R^2 \\alpha_b}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$Q_{lyc}(S_{\\nu})$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$EM = (-3.28\\times10^{-7})^{-1} \\left(\\frac{T_e}{10^4\\mathrm{K}}\\right)^{1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{2.1} \\ln\\left(1-\\frac{S_{\\nu}}{4.67 \\mathrm{mJy}}\\right) \\mathrm{cm}^{-6}~\\mathrm{pc}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$EM = (-3.28\\times10^{-7})^{-1} \\left(\\frac{T_e}{10^4\\mathrm{K}}\\right)^{1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{2.1} \\ln\\left(1-\\frac{T_{B,\\nu}}{T_e}\\right) \\mathrm{cm}^{-6}~\\mathrm{pc}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$Q_{lyc} = \\frac{4}{3} \\pi R^2 \\alpha_b (-3.28\\times10^{-7})^{-1} \\left(\\frac{T_e}{10^4\\mathrm{K}}\\right)^{1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{2.1} \\ln\\left(1-\\frac{T_{B,\\nu}}{T_e}\\right) \\mathrm{s}^{-1}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$(-3.28\\times10^{-7}) \\frac{Q_{lyc}}{ \\mathrm{s}^{-1}} \\left( \\frac{4}{3} \\pi R^2 \\alpha_b\\right)^{-1}\\left[ \\ln\\left(1-\\frac{T_{B,\\nu}}{T_e}\\right)\\right]^{-1} = \\left(\\frac{T_e}{10^4\\mathrm{K}}\\right)^{1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{2.1} $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$S_{\\nu}(Q_{lyc}) = 4.67 \\left[1-\\exp\\left(-3.28\\times10^{-7} \\left(\\frac{T_e}{10^4 \\mathrm{K}}\\right)^{-1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{-2.1} \\frac{3 Q_{lyc}}{4 \\pi R^2 \\alpha_b} \\right) \\right]$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$S_{\\nu}(Q_{lyc}) \\approx 4.67 \\left(3.28\\times10^{-7} \\left(\\frac{T_e}{10^4 \\mathrm{K}}\\right)^{-1.35} \\left(\\frac{\\nu}{\\mathrm{GHz}}\\right)^{-2.1} \\frac{3 Q_{lyc}}{4 \\pi R^2 \\alpha_b} \\right) $$"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1f74368fd0>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# sanity check on the Taylor expansion... the argument of the above equation must be <0.1\n",
"x = np.logspace(-6,1)\n",
"pl.loglog(x,(x-(1-np.exp(-x))), label='diff')\n",
"pl.loglog(x,(1-np.exp(-x)), label='approx')\n",
"pl.loglog(x,x, label='exact', alpha=0.5)\n",
"pl.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10.020454589088208 solMass\n"
]
},
{
"data": {
"text/latex": [
"$0.73071413 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 0.73071413 mJy>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# density corresponding to 5-sigma\n",
"snu_dust(density=1.5e7*u.cm**-3).to(u.mJy)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"200.40909178176418 solMass\n"
]
},
{
"data": {
"text/latex": [
"$13.339521 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 13.3395209 mJy>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# density corresponding to TOO BRIGHT\n",
"snu_dust(density=3e8*u.cm**-3).to(u.mJy)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$5.1808024 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 5.18080244 mJy>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e47*u.s**-1, R=4000*u.au)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$5.1779915 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 5.17799147 mJy>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e47*u.s**-1, R=2000*u.au)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$0.51813649 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 0.51813649 mJy>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e46*u.s**-1, R=2000*u.au)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$0.50345846 \\; \\mathrm{mJy}$"
],
"text/plain": [
"<Quantity 0.50345846 mJy>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e46*u.s**-1, R=100*u.au)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 3.93367731 mJy>, 6.776052579448274)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Quoted in paper\n",
"Snu_freefree(Qlyc=1e47*u.s**-1, R=100*u.au), np.log10(dens(R=100*u.au, Qlyc=1e47*u.s**-1).value)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 2.01663528 mJy>, 7.227597572944246)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e47*u.s**-1, R=50*u.au), np.log10(dens(R=50*u.au, Qlyc=1e47*u.s**-1).value)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 0.55929758 mJy>, 7.679142566440218)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Quoted in paper (How small does the HII region have to be, and how dense, before O-stars can be hidden?)\n",
"Snu_freefree(Qlyc=1e47*u.s**-1, R=25*u.au), np.log10(dens(R=25*u.au, Qlyc=1e47*u.s**-1).value)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 0.5593506 mJy>, 8.179142566440218)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e48*u.s**-1, R=25*u.au), np.log10(dens(R=25*u.au, Qlyc=1e48*u.s**-1).value)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 0.33785749 mJy>, 6.679142566440218)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Snu_freefree(Qlyc=1e46*u.s**-1, R=25*u.au), np.log10(dens(R=25*u.au, Qlyc=1e45*u.s**-1).value)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$201.56489 \\; \\mathrm{\\frac{1}{cm^{3}}}$"
],
"text/plain": [
"<Quantity 201.56488713 1 / cm3>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dens(1e45*u.s**-1, R=0.1*u.pc)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.020362174606600513 pc\n"
]
}
],
"source": [
"# angular size in Sgr B2\n",
"distance = 8.4*u.kpc\n",
"R = (0.5*u.arcsec * distance).to(u.pc, u.dimensionless_angles())\n",
"print(R)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"The inputs to `brightness_temperature` have changed. Frequency is now the first input, and angular area is the second, optional input.\n"
]
},
{
"data": {
"text/latex": [
"$0.54165999 \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity 0.54165999 K>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# observed limit (approx)\n",
"beam = radio_beam.Beam(0.5*u.arcsec)\n",
"cfreq = 95*u.GHz\n",
"(1*u.mJy).to(u.K, u.brightness_temperature(beam, cfreq))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Beam: BMAJ=0.5 arcsec BMIN=0.5 arcsec BPA=0.0 deg,\n",
" <Quantity 0.5 arcsec>,\n",
" <Quantity 6.65815901e-12 sr>)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beam, beam.major, beam.sr"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$2193.7071 \\; \\mathrm{\\frac{1}{cm^{3}}}$"
],
"text/plain": [
"<Quantity 2193.70711513 1 / cm3>"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dens(1e45*u.s**-1, R=R)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$97989.929 \\; \\mathrm{\\frac{pc}{cm^{6}}}$"
],
"text/plain": [
"<Quantity 97989.92943559 pc / cm6>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"EMfunc(1e45*u.s**-1, R=R)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$0.02297578 \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity 0.02297578 K>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb(EM=EMfunc(1e45*u.s**-1, R=R))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$0.22975441 \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity 0.22975441 K>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb(EM=EMfunc(1e46*u.s**-1, R=R))"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$2.2972047 \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity 2.29720474 K>"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb(EM=EMfunc(1e47*u.s**-1, R=R))"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$[0.025330106,~0.032038671,~0.040523887,~0.051256221,~0.064830692,~0.08199983,~0.10371534,~0.13118077,~0.16591809,~0.20985182,~0.26541531,~0.33568496,~0.42454972,~0.53692491,~0.67902187,~0.85868776,~1.0858333,~1.3729702,~1.7358862,~2.1944899,~2.773866,~3.5055884,~4.4293475,~5.5949532,~7.0647831,~8.9167425,~11.247794,~14.178086,~17.855644,~22.461496,~28.214894,~35.378011,~44.259028,~55.211834,~68.629667,~84.92882,~104.51735,~127.74288,~154.81389,~185.69263,~219.96601,~256.71743,~294.44619,~331.10582,~364.3388,~391.94159,~412.47511,~425.77098,~433.00236,~436.16201] \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity [2.53301056e-02, 3.20386705e-02, 4.05238866e-02, 5.12562206e-02,\n",
" 6.48306921e-02, 8.19998299e-02, 1.03715338e-01, 1.31180768e-01,\n",
" 1.65918090e-01, 2.09851821e-01, 2.65415308e-01, 3.35684962e-01,\n",
" 4.24549725e-01, 5.36924910e-01, 6.79021866e-01, 8.58687756e-01,\n",
" 1.08583325e+00, 1.37297017e+00, 1.73588622e+00, 2.19448994e+00,\n",
" 2.77386600e+00, 3.50558843e+00, 4.42934750e+00, 5.59495318e+00,\n",
" 7.06478306e+00, 8.91674251e+00, 1.12477943e+01, 1.41780858e+01,\n",
" 1.78556438e+01, 2.24614960e+01, 2.82148939e+01, 3.53780111e+01,\n",
" 4.42590275e+01, 5.52118340e+01, 6.86296669e+01, 8.49288196e+01,\n",
" 1.04517354e+02, 1.27742876e+02, 1.54813887e+02, 1.85692630e+02,\n",
" 2.19966012e+02, 2.56717429e+02, 2.94446189e+02, 3.31105816e+02,\n",
" 3.64338795e+02, 3.91941592e+02, 4.12475106e+02, 4.25770983e+02,\n",
" 4.33002364e+02, 4.36162007e+02] K>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb_beamdiluted(Qlyc=np.logspace(45,50)*u.s**-1, R=1000*u.au)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5.70156e+07 1 / cm3 1.14058e+09 1 / cm3\n",
"column at 0.5 mJy: 8.446647874513474e+23 1 / cm2\n",
"column at 10 mJy: 1.8169306662517537e+25 1 / cm2\n",
"tau at 0.5 mJy: 0.007197550334834606\n",
"tau at 10 mJy: 0.15482413993734565\n",
"Mass of a 0.5 mJy dust source at 40K: 8.86518764992355 solMass\n",
"Mass of a 5 mJy dust source at 40K: 88.67249321471951 solMass\n",
"Mass of a 10 mJy dust source at 40K: 177.3449864294813 solMass\n",
"Flux of a 10 Msun source at 40K: 0.0005638259887029255 Jy\n",
"Flux of a 100 Msun source at 40K: 0.005638259887029256 Jy\n"
]
}
],
"source": [
"# 0.2 arcsec = FWHM / 2.35 = 0.5 / 2.35\n",
"r_unresolved = (0.2*u.arcsec*distance).to(u.cm, u.dimensionless_angles())\n",
"volume = (4/3.*np.pi*r_unresolved**3)\n",
"muh2 = 2.8*u.Da\n",
"dustdens_0pt5mJy = (dust.massofsnu(nu=cfreq, snu=0.5*u.mJy, temperature=40*u.K, distance=distance) / volume / muh2).to(u.cm**-3)\n",
"dustdens_5mJy = (dust.massofsnu(nu=cfreq, snu=5*u.mJy, temperature=40*u.K, distance=distance) / volume / muh2).to(u.cm**-3)\n",
"dustdens_10mJy = (dust.massofsnu(nu=cfreq, snu=10*u.mJy, temperature=40*u.K, distance=distance) / volume / muh2).to(u.cm**-3)\n",
"print(\"{0:g} {1:g}\".format(dustdens_0pt5mJy,dustdens_10mJy))\n",
"print(\"column at 0.5 mJy: {0}\".format(dust.colofsnu(nu=cfreq, snu_per_beam=0.5*u.mJy/beam.sr, temperature=40*u.K)))\n",
"print(\"column at 10 mJy: {0}\".format(dust.colofsnu(nu=cfreq, snu_per_beam=10*u.mJy/beam.sr, temperature=40*u.K)))\n",
"print(\"tau at 0.5 mJy: {0}\".format(dust.tauofsnu(nu=cfreq, snu_per_beam=0.5*u.mJy/beam.sr, temperature=40*u.K)))\n",
"print(\"tau at 10 mJy: {0}\".format(dust.tauofsnu(nu=cfreq, snu_per_beam=10*u.mJy/beam.sr, temperature=40*u.K)))\n",
"print(\"Mass of a 0.5 mJy dust source at 40K: {0}\".format(dust.massofsnu(nu=cfreq, snu=0.5*u.mJy, temperature=40*u.K, distance=distance)))\n",
"print(\"Mass of a 5 mJy dust source at 40K: {0}\".format(dust.massofsnu(nu=cfreq, snu=5*u.mJy, temperature=40*u.K, distance=distance)))\n",
"print(\"Mass of a 10 mJy dust source at 40K: {0}\".format(dust.massofsnu(nu=cfreq, snu=10*u.mJy, temperature=40*u.K, distance=distance)))\n",
"dustdens_10msun = (10*u.M_sun / volume / muh2).to(u.cm**-3)\n",
"dustdens_100msun = (100*u.M_sun / volume / muh2).to(u.cm**-3)\n",
"snu10msun = dust.snuofmass(nu=cfreq, mass=10*u.M_sun, temperature=40*u.K, distance=distance)\n",
"snu100msun = dust.snuofmass(nu=cfreq, mass=100*u.M_sun, temperature=40*u.K, distance=distance)\n",
"print(\"Flux of a 10 Msun source at 40K: {0}\".format(snu10msun))\n",
"print(\"Flux of a 100 Msun source at 40K: {0}\".format(snu100msun))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"The inputs to `brightness_temperature` have changed. Frequency is now the first input, and angular area is the second, optional input.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Didn't save fig\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1600x800 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.figure(figsize=(16,8))\n",
"pl.rcParams['font.size']=18\n",
"ax1 = pl.subplot(1,2,1)\n",
"ax2 = pl.subplot(1,2,2)\n",
"Qlyc = np.logspace(44,50,100)*u.s**-1\n",
"beam_pc = (0.5*u.arcsec * distance).to(u.pc, u.dimensionless_angles())\n",
"for source_size in [25,50,100,200,500,4000]*u.au:\n",
" tb = Tb_beamdiluted(Qlyc=Qlyc, R=source_size, beam=beam_pc)\n",
" density = dens(Qlyc=Qlyc, R=source_size)\n",
"\n",
" ax1.semilogx(Qlyc, tb, label=source_size)\n",
" ax2.loglog(Qlyc, density, label=source_size)\n",
"ax1.fill_between([Qlyc[0].value, Qlyc[-1].value],\n",
" [0.05*5]*2, [0.16*5]*2, color='k', alpha=0.2, zorder=-10)\n",
"ax1twin = ax1.twinx()\n",
"ax1twin.set_ylim(0, (5*u.K).to(u.mJy, u.brightness_temperature(beam, cfreq)).value)\n",
"ax1twin.set_ylabel('Flux Density [mJy]')\n",
"ax1.set_ylim(0,5)\n",
"ax1.set_xlim(Qlyc.min().value, Qlyc.max().value)\n",
"ax2.set_xlim(Qlyc.min().value, Qlyc.max().value)\n",
"ax1.set_xlabel(\"$Q_{lyc}$ [s$^{-1}$]\")\n",
"ax2.set_xlabel(\"$Q_{lyc}$ [s$^{-1}$]\")\n",
"ax1.set_ylabel(\"T$_B$ [K]\")\n",
"ax2.set_ylabel(\"n(e$^-$) [cm$^{-3}$]\")\n",
"# multiply the N(H_2) densities by 2 to get to n(e)\n",
"ax2.hlines(dustdens_10msun.to(u.cm**-3).value*2, Qlyc[0].value, Qlyc[-1].value,color='k', linestyle='--')\n",
"ax2.hlines(dustdens_100msun.to(u.cm**-3).value*2, Qlyc[0].value, Qlyc[-1].value,color='k', linestyle=':')\n",
"ax1twin.hlines(snu10msun.to(u.mJy).value, Qlyc[0].value, Qlyc[-1].value,color='k', linestyle='--', zorder=-20)\n",
"ax1twin.hlines(snu100msun.to(u.mJy).value, Qlyc[0].value, Qlyc[-1].value,color='k', linestyle=':', zorder=-20)\n",
"handles,labels = ax1.get_legend_handles_labels()\n",
"leg = ax1twin.legend(handles=handles, labels=labels, loc='upper left')\n",
"leg.set_zorder(100)\n",
"#leg.get_frame().set_alpha(1)\n",
"#ax1.set_zorder(1)\n",
"#ax1twin.set_zorder(-10)\n",
"\n",
"pl.tight_layout()\n",
"try:\n",
" pl.savefig(\"/Users/adam/work/sgrb2/alma/figures/HII_region_brightness.png\", bbox_inches='tight', dpi=150)\n",
" pl.savefig(\"/Users/adam/work/sgrb2/alma/figures/HII_region_brightness.pdf\", bbox_inches='tight', dpi=150)\n",
"except FileNotFoundError:\n",
" print(\"Didn't save fig\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Beam: BMAJ=0.5 arcsec BMIN=0.5 arcsec BPA=0.0 deg, <Quantity 4000. AU>)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beam,source_size"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$[2.3815477 \\times 10^{-5},~2.7382012 \\times 10^{-5},~3.148266 \\times 10^{-5},~3.6197408 \\times 10^{-5},~4.1618223 \\times 10^{-5},~4.7850843 \\times 10^{-5},~5.5016842 \\times 10^{-5},~6.3255998 \\times 10^{-5},~7.2729026 \\times 10^{-5},~8.3620707 \\times 10^{-5},~9.6143492 \\times 10^{-5},~0.00011054165,~0.00012709604,~0.00014612956,~0.00016801348,~0.00019317467,~0.00022210393,~0.00025536554,~0.00029360832,~0.00033757821,~0.0003881329,~0.00044625851,~0.00051308884,~0.00058992747,~0.00067827322,~0.00077984935,~0.00089663722,~0.0010309149,~0.0011853015,~0.0013628087,~0.0015668987,~0.0018015526,~0.0020713476,~0.0023815462,~0.0027381991,~0.0031482632,~0.0036197371,~0.0041618174,~0.0047850778,~0.0055016756,~0.0063255885,~0.0072728877,~0.0083620509,~0.0096143231,~0.011054131,~0.012709558,~0.014612895,~0.016801268,~0.019317362,~0.022210253,~0.02553637,~0.029360588,~0.033757499,~0.038812864,~0.044625288,~0.051308139,~0.058991762,~0.06782602,~0.077983215,~0.089661448,~0.10308848,~0.11852618,~0.13627561,~0.15668293,~0.18014608,~0.20712262,~0.23813857,~0.2737987,~0.31479828,~0.36193665,~0.41613275,~0.47844302,~0.55008195,~0.63244568,~0.72713917,~0.83600733,~0.96117089,~1.1050675,~1.270499,~1.4606857,~1.6793286,~1.930681,~2.2196306,~2.5517933,~2.9336218,~3.3725286,~3.8770284,~4.4569006,~5.1233748,~5.8893436,~6.769606,~7.7811449,~8.9434434,~10.278846,~11.812969,~13.575165,~15.599055,~17.923122,~20.591385,~23.65416] \\; \\mathrm{K}$"
],
"text/plain": [
"<Quantity [2.38154775e-05, 2.73820119e-05, 3.14826598e-05, 3.61974081e-05,\n",
" 4.16182232e-05, 4.78508431e-05, 5.50168415e-05, 6.32559983e-05,\n",
" 7.27290264e-05, 8.36207066e-05, 9.61434919e-05, 1.10541652e-04,\n",
" 1.27096037e-04, 1.46129557e-04, 1.68013479e-04, 1.93174672e-04,\n",
" 2.22103928e-04, 2.55365543e-04, 2.93608316e-04, 3.37578211e-04,\n",
" 3.88132904e-04, 4.46258514e-04, 5.13088839e-04, 5.89927468e-04,\n",
" 6.78273217e-04, 7.79849353e-04, 8.96637219e-04, 1.03091488e-03,\n",
" 1.18530154e-03, 1.36280867e-03, 1.56689870e-03, 1.80155263e-03,\n",
" 2.07134757e-03, 2.38154615e-03, 2.73819907e-03, 3.14826317e-03,\n",
" 3.61973711e-03, 4.16181742e-03, 4.78507784e-03, 5.50167559e-03,\n",
" 6.32558851e-03, 7.27288767e-03, 8.36205088e-03, 9.61432305e-03,\n",
" 1.10541306e-02, 1.27095580e-02, 1.46128953e-02, 1.68012681e-02,\n",
" 1.93173616e-02, 2.22102533e-02, 2.55363698e-02, 2.93605878e-02,\n",
" 3.37574988e-02, 3.88128643e-02, 4.46252881e-02, 5.13081392e-02,\n",
" 5.89917625e-02, 6.78260204e-02, 7.79832151e-02, 8.96614479e-02,\n",
" 1.03088481e-01, 1.18526180e-01, 1.36275613e-01, 1.56682926e-01,\n",
" 1.80146083e-01, 2.07122622e-01, 2.38138573e-01, 2.73798700e-01,\n",
" 3.14798283e-01, 3.61936652e-01, 4.16132753e-01, 4.78443024e-01,\n",
" 5.50081952e-01, 6.32445685e-01, 7.27139171e-01, 8.36007334e-01,\n",
" 9.61170893e-01, 1.10506750e+00, 1.27049900e+00, 1.46068569e+00,\n",
" 1.67932860e+00, 1.93068103e+00, 2.21963059e+00, 2.55179333e+00,\n",
" 2.93362176e+00, 3.37252856e+00, 3.87702845e+00, 4.45690064e+00,\n",
" 5.12337476e+00, 5.88934357e+00, 6.76960602e+00, 7.78114490e+00,\n",
" 8.94344342e+00, 1.02788460e+01, 1.18129687e+01, 1.35751652e+01,\n",
" 1.55990551e+01, 1.79231216e+01, 2.05913849e+01, 2.36541598e+01] K>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb_beamdiluted(Qlyc=Qlyc,R=0.1*u.pc, beam=0.2*u.pc)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$[1.0584657 \\times 10^{-5},~1.2169783 \\times 10^{-5},~1.3992293 \\times 10^{-5},~1.6087737 \\times 10^{-5},~1.8496988 \\times 10^{-5},~2.1267041 \\times 10^{-5},~2.445193 \\times 10^{-5},~2.8113777 \\times 10^{-5},~3.2324012 \\times 10^{-5},~3.7164758 \\times 10^{-5},~4.2730441 \\times 10^{-5},~4.9129623 \\times 10^{-5},~5.6487128 \\times 10^{-5},~6.494647 \\times 10^{-5},~7.4672657 \\times 10^{-5},~8.585541 \\times 10^{-5},~9.8712857 \\times 10^{-5},~0.0001134958,~0.00013049258,~0.00015003476,~0.00017250351,~0.00019833712,~0.00022803948,~0.00026218999,~0.00030145476,~0.00034659971,~0.00039850543,~0.00045818439,~0.00052680068,~0.00060569274,~0.00069639942,~0.00080069006,~0.00092059892,~0.001058465,~0.0012169774,~0.0013992281,~0.001608772,~0.0018496966,~0.0021267013,~0.0024451892,~0.0028113727,~0.0032323945,~0.0037164671,~0.0042730325,~0.004912947,~0.0056486925,~0.0064946201,~0.0074672303,~0.0085854941,~0.0098712237,~0.011349498,~0.01304915,~0.015003333,~0.017250162,~0.019833461,~0.022803617,~0.026218561,~0.030144898,~0.034659207,~0.039849532,~0.045817103,~0.052678302,~0.060566939,~0.069636856,~0.080064926,~0.092054499,~0.10583937,~0.12168831,~0.13991035,~0.16086073,~0.18494789,~0.21264134,~0.24448087,~0.28108697,~0.32317296,~0.37155882,~0.42718706,~0.49114111,~0.56466622,~0.64919364,~0.74636827,~0.85808046,~0.98650248,~1.1341304,~1.3038319,~1.4989016,~1.7231238,~1.9808447,~2.2770555,~2.617486,~3.0087138,~3.4582866,~3.9748637,~4.568376,~5.2502083,~6.0334067,~6.9329134,~7.9658318,~9.1517266,~10.51296] \\; \\mathrm{K}$"
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"<Quantity [1.05846567e-05, 1.21697830e-05, 1.39922932e-05, 1.60877369e-05,\n",
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" 3.23240117e-05, 3.71647585e-05, 4.27304409e-05, 4.91296231e-05,\n",
" 5.64871276e-05, 6.49464697e-05, 7.46726575e-05, 8.58554097e-05,\n",
" 9.87128571e-05, 1.13495797e-04, 1.30492585e-04, 1.50034760e-04,\n",
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" 4.91294695e-03, 5.64869245e-03, 6.49462013e-03, 7.46723026e-03,\n",
" 8.58549405e-03, 9.87122369e-03, 1.13494977e-02, 1.30491501e-02,\n",
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" 4.58171029e-02, 5.26783021e-02, 6.05669392e-02, 6.96368560e-02,\n",
" 8.00649256e-02, 9.20544987e-02, 1.05839366e-01, 1.21688311e-01,\n",
" 1.39910348e-01, 1.60860734e-01, 1.84947890e-01, 2.12641344e-01,\n",
" 2.44480867e-01, 2.81086971e-01, 3.23172965e-01, 3.71558815e-01,\n",
" 4.27187063e-01, 4.91141112e-01, 5.64666223e-01, 6.49193640e-01,\n",
" 7.46368267e-01, 8.58080458e-01, 9.86502483e-01, 1.13413037e+00,\n",
" 1.30383189e+00, 1.49890158e+00, 1.72312375e+00, 1.98084473e+00,\n",
" 2.27705545e+00, 2.61748603e+00, 3.00871379e+00, 3.45828662e+00,\n",
" 3.97486374e+00, 4.56837600e+00, 5.25020831e+00, 6.03340675e+00,\n",
" 6.93291339e+00, 7.96583184e+00, 9.15172663e+00, 1.05129599e+01] K>"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Tb_beamdiluted(Qlyc=Qlyc,R=0.1*u.pc, beam=0.3*u.pc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make some example SEDs for different source geometries and luminosities"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1f6fecd8d0>"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1200x1200 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"freqs = np.linspace(1,300,1000)*u.GHz\n",
"\n",
"pl.figure(1, figsize=(12,12)).clf()\n",
"colors = [x for x in 'rgbmkc']\n",
"\n",
"pl.gca().set_prop_cycle(color=colors)\n",
"\n",
"#pl.figure(2, figsize=(12,12)).clf()\n",
"#pl.figure(3, figsize=(12,12)).clf()\n",
"\n",
"radius = 100*u.au\n",
"qlycs = np.logspace(45,50,6)*u.s**-1\n",
"\n",
"for radius, linestyle in zip((25,50,100,)*u.au, ('-','--',':','-.')):\n",
"\n",
" seds_K = [Tb(Te=7000*u.K, nu=freqs, EM=EMfunc(R=radius, Qlyc=qlyc),)\n",
" for qlyc in qlycs]\n",
"\n",
" seds = [Snu_freefree(Te=7000*u.K, nu=freqs, R=radius, Qlyc=qlyc, beam=40000*u.au,\n",
" angular_beam=10*u.arcsec,)\n",
" for qlyc in qlycs]\n",
" taus = [tau(freqs, EMfunc(Qlyc=qlyc, R=radius))\n",
" for qlyc in qlycs]\n",
" labels = [\"R={0} Q={1}\".format(radius, qlyc) for qlyc in qlycs]\n",
"\n",
" pl.figure(1)\n",
" lines = pl.loglog(freqs, np.transpose(seds), linestyle=linestyle, label=labels, )\n",
" # pl.figure(2)\n",
" # x = pl.loglog(freqs, np.transpose(taus), linestyle=linestyle, label=labels, )\n",
" # pl.figure(3)\n",
" # x = pl.loglog(freqs, np.transpose(seds_K), linestyle=linestyle, label=labels, )\n",
"pl.figure(1)\n",
"pl.xlabel(\"Frequency\")\n",
"pl.ylabel(\"Flux Density (mJy)\")\n",
"pl.legend((pl.Line2D([0],[0],linestyle='-', color='k'),\n",
" pl.Line2D([0],[0],linestyle='--', color='k'),\n",
" pl.Line2D([0],[0],linestyle=':', color='k'),)\n",
" + tuple(pl.Line2D([0],[0],marker='s',linestyle='none', color=colors[ii])\n",
" for ii in range(len(qlycs)))\n",
" ,\n",
" ('R=25 AU','R=50 AU','R=100 AU',) + tuple(\"logQ={0}\".format(int(np.log10(qlyc.value))) for qlyc in qlycs)\n",
" ,\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Aside: try to reproduce Scoville 2003 eqn 1 from Osterbrock\n",
"\n",
"$$F_{Pa\\alpha} = 6.41\\times 10^{-26} (T_e/6000 K)^{-0.87} \\frac{n_e n_p l a_{pix}}{4 \\pi d^2} \\mathrm{erg~s}^{-1} \\mathrm{cm^{-2}}$$\n",
"\n",
"Osterbrock tbl 4.4 gives $$\\frac{4\\pi j_{H\\beta}}{n_e n_p} = 2.22 \\times10^{-25} \\mathrm{erg~s}^{-1} \\mathrm{cm^{3}}$$ and $$\\frac{j_{Pa\\alpha}}{j_{H\\beta}} = 0.396$$ for T=5000, n=$10^4$ cm$^{-3}$, which is close to but not exactly 6000 K.\n"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(8.791200000000001e-26, 1.3714820592823715, 417.31254922000363)"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tbl4pt4paa = 2.22e-25 * 0.396\n",
"tbl4pt4paa_to_scoville_ratio = 2.22e-25 * 0.396/6.41e-26\n",
"temp_for_scoville_num = (tbl4pt4paa_to_scoville_ratio**(1/-0.87))*600\n",
"tbl4pt4paa,tbl4pt4paa_to_scoville_ratio,temp_for_scoville_num"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Short answer, I think we came to a really close value, but it's not the same. Maybe there's a small geometric factor hidden in there, since $a_{pix}$ is the \"projected area\" of the pixel, but I have a hard time seeing how you'd come to that.\n",
"\n",
"Scoville didn't say anything about units of $d$ or $a$."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1.7403954599089032e-59, 7.404556033227823e-49)"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# area in steradians divided by distance in parsecs, give or take\n",
"(0.0753/206265)**2 / (4*np.pi*(8000*u.pc.to(u.cm))**2), (0.0753)**2 / (4*np.pi*(8000*u.pc.to(u.cm))**2)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 7.58365387e-12 erg / (arcsec2 cm2 s)>,\n",
" <Quantity 2.01859081e+08 Jy / sr>)"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Typical flux toward Sgr A\n",
"snu_sgra_scov = 25*10**-16*u.erg/u.s/u.cm**2/(0.0753*u.arcsec)**2\n",
"snu_sgra_scov = 4.3*10**-14*u.erg/u.s/u.cm**2/(0.0753*u.arcsec)**2 # from S4.2\n",
"sb_sgra_scov = (snu_sgra_scov/nu_paa).to(u.Jy/u.sr)\n",
"snu_sgra_scov, sb_sgra_scov"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Osterbrock eqn 4.14 is $$\\frac{4 \\pi j_{nn'}}{h \\nu_{nn'}} = n_p n_e \\alpha_{nn',eff}$$\n",
"\n",
"which rearranges to \n",
" $$\\frac{4 \\pi j_{nn'}}{n_p n_e} = h \\nu_{nn'} \\alpha_{nn',eff}$$\n",
" \n",
"so $h \\nu \\alpha_{eff} EM$ is the flux in erg s$^{-1}$ cm$^{-2}$"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Quantity 20080806.71111409 mJy / sr>,\n",
" <Quantity 1.01808e-14 cm3 / s>,\n",
" <Quantity 4062.84037227 pc / cm6>,\n",
" <Quantity 0.00013518 erg / (cm2 s)>)"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"snu_paa(), alpha_paa, EMfunc(), (EMfunc()*alpha_paa*wl_paa.to(u.erg, u.spectral())).to(u.erg/u.s/u.cm**2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# sanity check: does my computation of surface brightness self-consistently match that of Scovilles?\n",
"# used eqn 7 for density, length, but then switched to the values just below eqn 7 in s4.2\n",
"(snu_paa(Te=6000*u.K, EM=(2.5e4*u.cm**-3)**2*1e17*u.cm)/u.sr).to(u.Jy/u.sr) / sb_sgra_scov\n",
"# am i high by a factor of pi?"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
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},
"nbformat": 4,
"nbformat_minor": 4
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