def test_ssc_reference_sed(self, gamma_max, nu_range_max):
"""test agnpy SSC SED against the ones in Figure 7.4 of Dermer Menon 2009"""
# reference SED
nu_ref, sed_ref = extract_columns_sample_file(
f"{data_dir}/reference_seds/dermer_menon_2009/figure_7_4/ssc_gamma_max_{gamma_max}.txt",
"Hz",
"erg cm-2 s-1",
)
# agnpy
# change the gamma_max in the blob
pwl_dict_test["parameters"]["gamma_max"] = float(gamma_max)
pwl_blob_test.set_spectrum(pwl_spectrum_norm_test, pwl_dict_test,
"integral")
# recompute the SED at the same ordinates where the figure was sampled
ssc = SynchrotronSelfCompton(pwl_blob_test)
sed_agnpy = ssc.sed_flux(nu_ref)
# sed comparison plot
nu_range = [1e14, nu_range_max] * u.Hz
make_comparison_plot(
nu_ref,
sed_agnpy,
sed_ref,
"agnpy",
"Figure 7.4, Dermer and Menon (2009)",
"Synchrotron Self Compton, " + r"$\gamma_{max} = $" + gamma_max,
f"{figures_dir}/ssc/comparison_gamma_max_{gamma_max}_figure_7_4_dermer_menon_2009.png",
"sed",
y_range=[1e-13, 1e-9],
comparison_range=nu_range.to_value("Hz"),
)
# requires that the SED points deviate less than 20% from the figure
assert check_deviation(nu_ref, sed_agnpy, sed_ref, 0.2, nu_range)
def test_ssc_reference_sed(self):
"""test agnpy SSC SED against the one in Figure 7.4 of Dermer Menon"""
sampled_ssc_table = np.loadtxt(
f"{tests_dir}/sampled_seds/ssc_figure_7_4_dermer_menon_2009.txt",
delimiter=",",
comments="#",
)
sampled_ssc_nu = sampled_ssc_table[:, 0] * u.Hz
sampled_ssc_sed = sampled_ssc_table[:, 1] * u.Unit("erg cm-2 s-1")
# agnpy
synch = Synchrotron(PWL_BLOB)
ssc = SynchrotronSelfCompton(PWL_BLOB, synch)
# recompute the SED at the same ordinates where the figure was sampled
agnpy_ssc_sed = ssc.sed_flux(sampled_ssc_nu)
# sed comparison plot
make_sed_comparison_plot(
sampled_ssc_nu,
sampled_ssc_sed,
agnpy_ssc_sed,
"Synchrotron Self Compton",
"ssc_comparison_figure_7_4_dermer_menon_2009",
)
# requires that the SED points deviate less than 15% from the figure
assert u.allclose(
agnpy_ssc_sed, sampled_ssc_sed, atol=0 * u.Unit("erg cm-2 s-1"), rtol=0.15
)
def test_ssc_integration_methods(self):
"""test SSC SED for different integration methods against each other
"""
nu = np.logspace(15, 28) * u.Hz
ssc_trapz = SynchrotronSelfCompton(pwl_blob_test, integrator=np.trapz)
ssc_trapz_loglog = SynchrotronSelfCompton(pwl_blob_test,
integrator=trapz_loglog)
sed_ssc_trapz = ssc_trapz.sed_flux(nu)
sed_ssc_trapz_loglog = ssc_trapz_loglog.sed_flux(nu)
# compare in a restricted energy range
nu_range = [1e15, 1e27] * u.Hz
make_comparison_plot(
nu,
sed_ssc_trapz_loglog,
sed_ssc_trapz,
"trapezoidal log-log integration",
"trapezoidal integration",
"Synchrotron Self Compton",
f"{figures_dir}/ssc/comparison_integration_methods.png",
"sed",
comparison_range=nu_range.to_value("Hz"),
)
# requires that the SED points deviate less than 15%
assert check_deviation(nu, sed_ssc_trapz_loglog, sed_ssc_trapz, 0.15,
nu_range)
import numpy as np import astropy.units as u from agnpy.emission_regions import Blob from agnpy.compton import SynchrotronSelfCompton from agnpy.utils.plot import plot_sed import matplotlib.pyplot as plt from agnpy.utils.plot import load_mpl_rc # matplotlib adjustments load_mpl_rc() # define the emission region and the radiative process blob = Blob() ssc = SynchrotronSelfCompton(blob) # compute the SED over an array of frequencies nu = np.logspace(15, 28) * u.Hz sed = ssc.sed_flux(nu) # plot it plot_sed(nu, sed, label="Synchrotron Self Compton") plt.show()
# total energy in blob / (average time * 4 pi dist^2)
energy_flux_predicted = (blob.u_ph_synch * blob1.V_b /
(0.75 * blob1.R_b / const.c.cgs) *
np.power(blob1.d_L, -2) /
(4 * np.pi)).to("erg cm-2 s-1")
synch1 = Synchrotron(blob1, ssa=False)
synch1_sed = synch1.sed_flux(nu)
energy_flux_sim = np.trapz(synch1_sed / (nu * const.h.cgs), nu * const.h.cgs)
print(
f"predicted energy flux: {energy_flux_predicted:.5e}, simulated energy flux: {energy_flux_sim:.5e}"
)
# nice agreement
ssc1 = SynchrotronSelfCompton(blob1, synch1)
ssc1_sed = ssc1.sed_flux(nu)
print("UB/Usynch = ", blob1.U_B / u_ph_synch)
print(
"SED_synch/SED_SSC=",
energy_flux_sim / np.trapz(ssc1_sed /
(nu * const.h.cgs), nu * const.h.cgs),
)
# same energy densities mean in Thomson regime the same energy losses ==> the same energy flux
print("break_synchr/break_SSC = ",
blob1.gamma_break_synch / blob1.gamma_break_SSC)
print("gmax_synchr/gmax_SSC = ", blob1.gamma_max_synch / blob1.gamma_max_SSC)
# SSC is at the same level as Synchr. so the cooling breaks and maximum energies are also same
"parameters": {
"p": 2.8,
"gamma_min": 1e2,
"gamma_max": 1e7
},
}
R_b = 1e16 * u.cm
B = 1 * u.G
z = Distance(1e27, unit=u.cm).z
delta_D = 10
Gamma = 10
blob = Blob(R_b, z, delta_D, Gamma, B, spectrum_norm, spectrum_dict)
print("blob definition:")
print(blob)
synch = Synchrotron(blob)
ssc = SynchrotronSelfCompton(blob, synch)
nu_syn = np.logspace(8, 23) * u.Hz
nu_ssc = np.logspace(15, 30) * u.Hz
# commands to profile
syn_sed_command = "synch.sed_flux(nu_syn)"
syn_sed_SSA_command = "synch.sed_flux(nu_syn, SSA=True)"
ssc_sed_command = "ssc.sed_flux(nu_ssc)"
n = 100
print("\nprofiling synchrotron sed computation:")
profile(syn_sed_command, "syn_sed")
time_syn = timing(syn_sed_command, n)
time_syn /= n
print(f"time: {time_syn:.2e} s")
"p": 2.8,
"gamma_min": 1e2,
"gamma_max": 1e7
},
}
R_b = 1e16 * u.cm
B = 1 * u.G
z = Distance(1e27, unit=u.cm).z
delta_D = 10
Gamma = 10
blob = Blob(R_b, z, delta_D, Gamma, B, spectrum_norm, spectrum_dict)
print("blob definition:")
print(blob)
synch = Synchrotron(blob)
synch_ssa = Synchrotron(blob, ssa=True)
ssc = SynchrotronSelfCompton(blob, synch)
ssc_ssa = SynchrotronSelfCompton(blob, synch_ssa)
nu_syn = np.logspace(8, 23) * u.Hz
nu_ssc = np.logspace(15, 30) * u.Hz
# commands to profile
syn_sed_command = "synch.sed_flux(nu_syn)"
syn_sed_ssa_command = "synch_ssa.sed_flux(nu_syn)"
ssc_sed_command = "ssc.sed_flux(nu_ssc)"
ssc_ssa_sed_command = "ssc_ssa.sed_flux(nu_ssc)"
n = 100
print("\nprofiling synchrotron sed computation:")
profile(syn_sed_command, "syn_sed")
time_syn = timing(syn_sed_command, n)
time_syn /= n