def test_ec_dt_vs_point_source(self):
"""check if in the limit of large distances the EC on the DT tends to
the one of a point-like source approximating it"""
r = 1e22 * u.cm
# point like source approximating the dt
ps_dt = PointSourceBehindJet(dt_test.xi_dt * dt_test.L_disk,
dt_test.epsilon_dt)
# external Compton
ec_dt = ExternalCompton(bpwl_blob_test, dt_test, r)
ec_ps_dt = ExternalCompton(bpwl_blob_test, ps_dt, r)
# seds
nu = np.logspace(15, 28) * u.Hz
sed_ec_dt = ec_dt.sed_flux(nu)
sed_ec_ps_dt = ec_ps_dt.sed_flux(nu)
make_comparison_plot(
nu,
sed_ec_ps_dt,
sed_ec_dt,
"point source approximating the DT",
"ring Dust Torus",
"External Compton on Ring Dust Torus, " +
r"$r = 10^{22}\,{\rm cm} \gg R_{\rm dt}$",
f"{figures_dir}/ec/dt/comparison_point_source.png",
"sed",
)
# requires a 20% deviation from the two SED points
assert check_deviation(nu, sed_ec_dt, sed_ec_ps_dt, 0.2)
def test_ec_dt_integration_methods(self):
"""test EC on DT SED for different integration methods
"""
nu = np.logspace(15, 28) * u.Hz
r = 1e20 * u.cm
ec_dt_trapz = ExternalCompton(bpwl_blob_test,
dt_test,
r,
integrator=np.trapz)
ec_dt_trapz_loglog = ExternalCompton(bpwl_blob_test,
dt_test,
r,
integrator=trapz_loglog)
sed_ec_dt_trapz = ec_dt_trapz.sed_flux(nu)
sed_ec_dt_trapz_loglog = ec_dt_trapz_loglog.sed_flux(nu)
make_comparison_plot(
nu,
sed_ec_dt_trapz_loglog,
sed_ec_dt_trapz,
"trapezoidal log-log integration",
"trapezoidal integration",
"External Compton on Ring Dust Torus",
f"{figures_dir}/ec/dt/comparison_integration_methods.png",
"sed",
)
# requires that the SED points deviate less than 20%
assert check_deviation(nu, sed_ec_dt_trapz_loglog, sed_ec_dt_trapz,
0.2)
def test_ec_blr_vs_point_source(self):
"""check if in the limit of large distances the EC on the BLR tends to
the one of a point-like source approximating it"""
r = 1e22 * u.cm
# point like source approximating the blr
ps_blr = PointSourceBehindJet(blr_test.xi_line * blr_test.L_disk,
blr_test.epsilon_line)
# external Compton
ec_blr = ExternalCompton(bpwl_blob_test, blr_test, r)
ec_ps_blr = ExternalCompton(bpwl_blob_test, ps_blr, r)
# seds
nu = np.logspace(15, 30) * u.Hz
sed_ec_blr = ec_blr.sed_flux(nu)
sed_ec_ps_blr = ec_ps_blr.sed_flux(nu)
# sed comparison plot
make_comparison_plot(
nu,
sed_ec_ps_blr,
sed_ec_blr,
"point source approximating the BLR",
"spherical shell BLR",
"External Compton on Spherical Shell BLR, " +
r"$r = 10^{22}\,{\rm cm} \gg R_{\rm line}$",
f"{figures_dir}/ec/blr/comparison_point_source.png",
"sed",
)
# requires a 20% deviation from the two SED points
assert check_deviation(nu, sed_ec_ps_blr, sed_ec_blr, 0.2)
def test_ec_blr_integration_methods(self):
"""test EC on BLR SED for different integration methods
"""
nu = np.logspace(15, 28) * u.Hz
r = 1e18 * u.cm
ec_blr_trapz = ExternalCompton(bpwl_blob_test,
blr_test,
r,
integrator=np.trapz)
ec_blr_trapz_loglog = ExternalCompton(bpwl_blob_test,
blr_test,
r,
integrator=trapz_loglog)
sed_ec_blr_trapz = ec_blr_trapz.sed_flux(nu)
sed_ec_blr_trapz_loglog = ec_blr_trapz_loglog.sed_flux(nu)
# check in a restricted energy range
make_comparison_plot(
nu,
sed_ec_blr_trapz_loglog,
sed_ec_blr_trapz,
"trapezoidal log-log integration",
"trapezoidal integration",
"External Compton on Spherical Shell Broad Line Region",
f"{figures_dir}/ec/blr/comparison_integration_methods.png",
"sed",
)
# requires that the SED points deviate less than 30%
assert check_deviation(nu, sed_ec_blr_trapz_loglog, sed_ec_blr_trapz,
0.3)
def test_ec_disk_integration_methods(self):
"""test EC on Disk SED for different integration methods against each other
"""
nu = np.logspace(15, 28) * u.Hz
r = 1e18 * u.cm
ec_disk_trapz = ExternalCompton(bpwl_blob_test,
disk_test,
r,
integrator=np.trapz)
ec_disk_trapz_loglog = ExternalCompton(bpwl_blob_test,
disk_test,
r,
integrator=trapz_loglog)
sed_ec_disk_trapz = ec_disk_trapz.sed_flux(nu)
sed_ec_disk_trapz_loglog = ec_disk_trapz_loglog.sed_flux(nu)
make_comparison_plot(
nu,
sed_ec_disk_trapz_loglog,
sed_ec_disk_trapz,
"trapezoidal log-log integration",
"trapezoidal integration",
"External Compton on Shakura Sunyaev Disk",
f"{figures_dir}/ec/disk/comparison_integration_methods.png",
"sed",
)
# requires that the SED points deviate less than 20%
assert check_deviation(nu, sed_ec_disk_trapz_loglog, sed_ec_disk_trapz,
0.2)
def test_ec_dt_reference_sed(self, r):
"""test agnpy SED for EC on DT against the one in Figure 11 of Finke 2016"""
# reference SED
nu_ref, sed_ref = extract_columns_sample_file(
f"{data_dir}/reference_seds/finke_2016/figure_11/ec_dt_r_{r}.txt",
"Hz",
"erg cm-2 s-1",
)
# recompute the SED at the same ordinates where the figure was sampled
ec_dt = ExternalCompton(bpwl_blob_test, dt_test, float(r) * u.cm)
sed_agnpy = ec_dt.sed_flux(nu_ref)
# check in a restricted energy range
nu_range = [1e18, 1e28] * u.Hz
make_comparison_plot(
nu_ref,
sed_agnpy,
sed_ref,
"agnpy",
"Figure 11, Finke (2016)",
f"External Compton on Ring Dust Torus, r = {r} cm",
f"{figures_dir}/ec/dt/comparison_r_{r}_cm_figure_11_finke_2016.png",
"sed",
comparison_range=nu_range.to_value("Hz"),
)
# requires that the SED points deviate less than 30% from the figure
assert check_deviation(nu_ref, sed_agnpy, sed_ref, 0.3, nu_range)
def test_ec_dt_reference_sed(self):
"""test agnpy SED for EC on DT against the one in Figure 11 of Finke 2016"""
# reference SED
sampled_ec_dt_table = np.loadtxt(
f"{tests_dir}/sampled_seds/ec_dt_figure_11_finke_2016.txt",
delimiter=",",
comments="#",
)
sampled_ec_dt_nu = sampled_ec_dt_table[:, 0] * u.Hz
# multiply the reference SED for 2 as this is the missing factor
# in the emissivity expression in Eq. 90 of Finke 2016
sampled_ec_dt_sed = 2 * sampled_ec_dt_table[:, 1] * u.Unit("erg cm-2 s-1")
# agnpy SED
L_disk = 2 * 1e46 * u.Unit("erg s-1")
T_dt = 1e3 * u.K
csi_dt = 0.1
dt = RingDustTorus(L_disk, csi_dt, T_dt)
# recompute the SED at the same ordinates where the figure was sampled
ec_dt = ExternalCompton(BPL_BLOB, dt, r=1e20 * u.cm)
agnpy_ec_dt_sed = ec_dt.sed_flux(sampled_ec_dt_nu)
# sed comparison plot
make_sed_comparison_plot(
sampled_ec_dt_nu,
sampled_ec_dt_sed,
agnpy_ec_dt_sed,
"External Compton on Ring Dust Torus",
"ec_dt_comparison_figure_11_finke_2016",
)
# requires that the SED points deviate less than 30% from the figure
assert u.allclose(
agnpy_ec_dt_sed,
sampled_ec_dt_sed,
atol=0 * u.Unit("erg cm-2 s-1"),
rtol=0.3,
)
def test_ec_blr_reference_sed(self):
"""test agnpy SED for EC on BLR against the one in Figure 10 of Finke 2016"""
# reference SED
sampled_ec_blr_table = np.loadtxt(
f"{tests_dir}/sampled_seds/ec_blr_figure_10_finke_2016.txt",
delimiter=",",
comments="#",
)
sampled_ec_blr_nu = sampled_ec_blr_table[:, 0] * u.Hz
sampled_ec_blr_sed = sampled_ec_blr_table[:, 1] * u.Unit("erg cm-2 s-1")
# agnpy SED
L_disk = 2 * 1e46 * u.Unit("erg s-1")
xi_line = 0.024
R_line = 1e17 * u.cm
blr = SphericalShellBLR(L_disk, xi_line, "Lyalpha", R_line)
# recompute the SED at the same ordinates where the figure was sampled
ec_blr = ExternalCompton(BPL_BLOB, blr, r=1e18 * u.cm)
agnpy_ec_blr_sed = ec_blr.sed_flux(sampled_ec_blr_nu)
# sed comparison plot
make_sed_comparison_plot(
sampled_ec_blr_nu,
sampled_ec_blr_sed,
agnpy_ec_blr_sed,
"External Compton on Spherical Shell Broad Line Region",
"ec_blr_comparison_figure_10_finke_2016",
)
# requires that the SED points deviate less than 30% from the figure
assert u.allclose(
agnpy_ec_blr_sed,
sampled_ec_blr_sed,
atol=0 * u.Unit("erg cm-2 s-1"),
rtol=0.3,
)
def test_ec_disk_reference_sed(self):
"""test agnpy SED for EC on Disk against the one in Figure 8 of Finke 2016"""
# reference SED
sampled_ec_disk_table = np.loadtxt(
f"{tests_dir}/sampled_seds/ec_disk_figure_8_finke_2016.txt",
delimiter=",",
comments="#",
)
sampled_ec_disk_nu = sampled_ec_disk_table[:, 0] * u.Hz
sampled_ec_disk_sed = sampled_ec_disk_table[:, 1] * u.Unit("erg cm-2 s-1")
# agnpy SED
M_BH = 1.2 * 1e9 * M_sun.cgs
L_disk = 2 * 1e46 * u.Unit("erg s-1")
eta = 1 / 12
R_in = 6
R_out = 200
disk = SSDisk(M_BH, L_disk, eta, R_in, R_out, R_g_units=True)
# recompute the SED at the same ordinates where the figure was sampled
ec_disk = ExternalCompton(BPL_BLOB, disk, r=1e17 * u.cm)
agnpy_ec_disk_sed = ec_disk.sed_flux(sampled_ec_disk_nu)
# sed comparison plot
make_sed_comparison_plot(
sampled_ec_disk_nu,
sampled_ec_disk_sed,
agnpy_ec_disk_sed,
"External Compton on Shakura Sunyaev Disk",
"ec_disk_comparison_figure_8_finke_2016",
)
# requires that the SED points deviate less than 40% from the figure
assert u.allclose(
agnpy_ec_disk_sed,
sampled_ec_disk_sed,
atol=0 * u.Unit("erg cm-2 s-1"),
rtol=0.4,
)
def test_ec_dt_vs_point_source(self):
"""check if in the limit of large distances the EC on the DT tends to
the one of a point-like source approximating it"""
# dust torus
L_disk = 2 * 1e46 * u.Unit("erg s-1")
T_dt = 1e3 * u.K
csi_dt = 0.1
dt = RingDustTorus(L_disk, csi_dt, T_dt)
# point like source approximating the dt
ps_dt = PointSourceBehindJet(dt.xi_dt * L_disk, dt.epsilon_dt)
# external Compton
ec_dt = ExternalCompton(BPL_BLOB, dt, r=1e22 * u.cm)
ec_ps_dt = ExternalCompton(BPL_BLOB, ps_dt, r=1e22 * u.cm)
# seds
nu = np.logspace(15, 28) * u.Hz
ec_dt_sed = ec_dt.sed_flux(nu)
ec_ps_dt_sed = ec_ps_dt.sed_flux(nu)
# requires a 20% deviation from the two SED points
assert u.allclose(
ec_dt_sed, ec_ps_dt_sed, atol=0 * u.Unit("erg cm-2 s-1"), rtol=0.2
)
def test_ec_blr_vs_point_source(self):
"""check if in the limit of large distances the EC on the BLR tends to
the one of a point-like source approximating it"""
# broad line region
L_disk = 2 * 1e46 * u.Unit("erg s-1")
xi_line = 0.024
R_line = 1e17 * u.cm
blr = SphericalShellBLR(L_disk, xi_line, "Lyalpha", R_line)
# point like source approximating the blr
ps_blr = PointSourceBehindJet(blr.xi_line * L_disk, blr.epsilon_line)
# external Compton
ec_blr = ExternalCompton(BPL_BLOB, blr, r=1e22 * u.cm)
ec_ps_blr = ExternalCompton(BPL_BLOB, ps_blr, r=1e22 * u.cm)
# seds
nu = np.logspace(15, 28) * u.Hz
ec_blr_sed = ec_blr.sed_flux(nu)
ec_ps_blr_sed = ec_ps_blr.sed_flux(nu)
# requires a 20% deviation from the two SED points
assert u.allclose(
ec_blr_sed, ec_ps_blr_sed, atol=0 * u.Unit("erg cm-2 s-1"), rtol=0.2
)
"energy density in the blob, DT radiation: ",
u_dt1,
"synchrotron photons: ",
u_synch1,
)
dt1_sed = dt1.sed_flux(nu, z)
# energy density was set to be the same
synch1 = Synchrotron(blob1, ssa=False)
synch1_sed = synch1.sed_flux(nu)
ssc1 = SynchrotronSelfCompton(blob1, synch1)
ssc1_sed = ssc1.sed_flux(nu)
ec_dt1 = ExternalCompton(blob1, dt1, h)
ec_dt1_sed = ec_dt1.sed_flux(nu)
ssc1_total = (np.trapz(ssc1_sed / nu, nu)).to("erg cm-2 s-1")
ec_dt1_total = (np.trapz(ec_dt1_sed / nu, nu)).to("erg cm-2 s-1")
print("SSC total=", ssc1_total, ", EC DT total=", ec_dt1_total)
# similar density of radiation but there is a factor of ~1.4 difference in the integrated flux
# this probably comes from different angular distribution of the radiation
gbreakssc = blob1.gamma_break_SSC
gbreakdt = blob1.gamma_break_EC_DT(dt1, h)
print(
"break SSC=", gbreakssc, ", break EC=", gbreakdt, ", ratio: ", gbreakssc / gbreakdt
)
# values of the break scale with energy density so they are the same
gmaxssc = blob1.gamma_max_SSC
import numpy as np
import astropy.units as u
import astropy.constants as const
from agnpy.emission_regions import Blob
from agnpy.compton import ExternalCompton
from agnpy.targets import SSDisk
from agnpy.utils.plot import plot_sed
import matplotlib.pyplot as plt
# define the emission region
blob = Blob()
# define the target
M_BH = 1.2 * 1e9 * const.M_sun
L_disk = 2 * 1e46 * u.Unit("erg s-1")
eta = 1 / 12
R_in = 6
R_out = 200
disk = SSDisk(M_BH, L_disk, eta, R_in, R_out, R_g_units=True)
# declare the external Compton process
r = 1e17 * u.cm # distance between the blob and the target
ec = ExternalCompton(blob, disk, r)
# compute the SED over an array of frequencies
nu = np.logspace(15, 30) * u.Hz
sed = ec.sed_flux(nu)
# plot it
plot_sed(nu, sed, label="External Compton on Dust Torus")
plt.ylim([1e-14, 1e-8])
plt.show()
blr = SphericalShellBLR(L_disk, xi_line, "Lyalpha", R_line)
# point source behind the jet approximating the DT
ps_dt = PointSourceBehindJet(dt.xi_dt * L_disk, dt.epsilon_dt)
# point source behind the jet approximating the BLR
ps_blr = PointSourceBehindJet(blr.xi_line * L_disk, blr.epsilon_line)
ec_dt = ExternalCompton(blob, dt, r=1e22 * u.cm)
ec_blr = ExternalCompton(blob, blr, r=1e22 * u.cm)
ec_ps_dt = ExternalCompton(blob, ps_dt, r=1e22 * u.cm)
ec_ps_blr = ExternalCompton(blob, ps_blr, r=1e22 * u.cm)
# seds
nu = np.logspace(15, 30) * u.Hz
sed_blr = ec_blr.sed_flux(nu)
sed_ps_blr = ec_ps_blr.sed_flux(nu)
sed_dt = ec_dt.sed_flux(nu)
sed_ps_dt = ec_ps_dt.sed_flux(nu)
plt.loglog(nu, sed_blr, ls="-", lw=2, color="k", label="EC on BLR")
plt.loglog(nu, sed_dt, ls="-", lw=2, color="dimgray", label="EC on DT")
plt.loglog(
nu,
sed_ps_blr,
ls=":",
lw=2,
color="crimson",
label="EC on point source approx. BLR",
)
plt.loglog(