Band grbm

[3]:
# Parameters
func_name = "Band_grbm"
wide_energy_range = True
x_scale = "log"
y_scale = "log"
linear_range = False

Description

[5]:
func.display()
  • description: Band model from Band et al., 1993, parametrized with the cutoff energy
  • formula: $ $
  • parameters:
    • K:
      • value: 0.0001
      • desc: Differential flux at the pivot energy
      • min_value: None
      • max_value: None
      • unit:
      • is_normalization: True
      • delta: 1e-05
      • free: True
    • alpha:
      • value: -1.0
      • desc: low-energy photon index
      • min_value: -1.5
      • max_value: 3.0
      • unit:
      • is_normalization: False
      • delta: 0.1
      • free: True
    • xc:
      • value: 500.0
      • desc: cutoff of exp
      • min_value: 10.0
      • max_value: None
      • unit:
      • is_normalization: False
      • delta: 50.0
      • free: True
    • beta:
      • value: -2.0
      • desc: high-energy photon index
      • min_value: -5.0
      • max_value: -1.6
      • unit:
      • is_normalization: False
      • delta: 0.2
      • free: True
    • piv:
      • value: 100.0
      • desc: pivot energy
      • min_value: None
      • max_value: None
      • unit:
      • is_normalization: False
      • delta: 10.0
      • free: False

Shape

The shape of the function.

If this is not a photon model but a prior or linear function then ignore the units as these docs are auto-generated

[6]:
fig, ax = plt.subplots()


ax.plot(energy_grid, func(energy_grid), color=blue)

ax.set_xlabel("energy (keV)")
ax.set_ylabel("photon flux")
ax.set_xscale(x_scale)
ax.set_yscale(y_scale)

../_images/notebooks_Band_grbm_8_0.png

F\(_{\nu}\)

The F\(_{\nu}\) shape of the photon model if this is not a photon model, please ignore this auto-generated plot

[7]:
fig, ax = plt.subplots()

ax.plot(energy_grid, energy_grid * func(energy_grid), red)


ax.set_xlabel("energy (keV)")
ax.set_ylabel(r"energy flux (F$_{\nu}$)")
ax.set_xscale(x_scale)
ax.set_yscale(y_scale)


../_images/notebooks_Band_grbm_10_0.png

\(\nu\)F\(_{\nu}\)

The \(\nu\)F\(_{\nu}\) shape of the photon model if this is not a photon model, please ignore this auto-generated plot

[8]:
fig, ax = plt.subplots()

ax.plot(energy_grid, energy_grid**2 * func(energy_grid), color=green)


ax.set_xlabel("energy (keV)")
ax.set_ylabel(r"$\nu$F$_{\nu}$")
ax.set_xscale(x_scale)
ax.set_yscale(y_scale)

../_images/notebooks_Band_grbm_12_0.png