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Added SN Ia luminosity function calculation #232

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6b997e5
Added SN Ia luminosity function calculation.
cmistick Aug 7, 2024
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[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Aug 7, 2024
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21 changes: 21 additions & 0 deletions slsim/Sources/Supernovae/supernovae_pop.py
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Original file line number Diff line number Diff line change
Expand Up @@ -80,6 +80,7 @@ def calculate_SNIa_rate(self, z, eta=0.04):
"""Calculates the rate of SN Ia. (Eq 15 - Oguri and Marshall 2010)

:param z: redshift (z>=0)
:type z: array-like
:param eta: canonical efficiency

:return: SN Ia rate n(z) in [(h)yr^(-1)Mpc^(-3)]
Expand All @@ -99,3 +100,23 @@ def calculate_SNIa_rate(self, z, eta=0.04):
SNIa_rate_list.append(SNIa_rate)

return np.array(SNIa_rate_list)

def calculate_luminosity(self, M, z):
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"""Calculates the luminosity function of SN Ia. (Eq 18 - Oguri and Marshall 2010)

:param M: B-band absolute magnitude
:param z: redshift (z>=0)
:type z: array-like

:return: luminosity function dPhi_dM in [mag^(-1)Mpc^(-3)]
:return type: array-like
"""
n = self.calculate_SNIa_rate(z)
M_star = -19.06
sigma = 0.56

dPhi_dM = (n * np.e ** (-((M - M_star) ** 2) / (2 * sigma**2))) / (
(1 + z) * np.sqrt(2 * np.pi) * sigma
)

return dPhi_dM
23 changes: 17 additions & 6 deletions tests/test_Source/test_supernovae_pop.py
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Expand Up @@ -6,6 +6,7 @@
from astropy.cosmology import FlatLambdaCDM
import numpy.testing as npt
import pytest
import numpy as np


def test_calculate_star_formation_rate():
Expand Down Expand Up @@ -60,13 +61,23 @@ def test_numerator_integrand(self):

def test_calculate_SNIa_rate(self):
# (Fig 2 - Oguri and Marshall 2010)
z_array = [0, 1, 2, 3]
rate_array = self.sne_rate.calculate_SNIa_rate(z_array)
z = np.array([0, 1, 2, 3])
rate = self.sne_rate.calculate_SNIa_rate(z)

npt.assert_almost_equal(rate_array[0], 0.000041006, decimal=3)
npt.assert_almost_equal(rate_array[1], 0.0001191, decimal=3)
npt.assert_almost_equal(rate_array[2], 0.0001349, decimal=3)
npt.assert_almost_equal(rate_array[3], 0.00008008, decimal=3)
npt.assert_almost_equal(rate[0], 0.000041006, decimal=3)
npt.assert_almost_equal(rate[1], 0.0001191, decimal=3)
npt.assert_almost_equal(rate[2], 0.0001349, decimal=3)
npt.assert_almost_equal(rate[3], 0.00008008, decimal=3)

def test_calculate_luminosity(self):
M = -28
z = np.array([1, 2, 4, 6])
luminosity = self.sne_rate.calculate_luminosity(M, z)

npt.assert_almost_equal(luminosity[0], 1.93040e-60, decimal=3)
npt.assert_almost_equal(luminosity[1], 1.45804e-60, decimal=3)
npt.assert_almost_equal(luminosity[2], 1.95788e-61, decimal=3)
npt.assert_almost_equal(luminosity[3], 1.89669e-62, decimal=3)


if __name__ == "__main__":
Expand Down