BlackBody1D¶

class synphot.blackbody.BlackBody1D(temperature=<Quantity 5000. K>, bolometric_flux=<Quantity 1. erg / (s cm2)>, **kwargs)[source]¶

Bases: Fittable1DModel

One dimensional blackbody model.

Parameters:

temperatureQuantity: Blackbody temperature.
bolometric_fluxQuantity: The bolometric flux of the blackbody (i.e., the integral over the spectral axis).

Notes

Model formula:

\[f(x) = \pi B_{\nu} f_{\text{bolometric}} / (\sigma T^{4})\]

Examples

>>> from astropy import units as u
>>> from synphot.blackbody import BlackBody1D
>>> bb = BlackBody1D()
>>> bb(6000 * u.AA)  
<Quantity 1.35853828e-15 erg / (Hz s cm2)>

import numpy as np
import matplotlib.pyplot as plt
from astropy import units as u
from astropy.visualization import quantity_support
from synphot.blackbody import BlackBody1D
from synphot.units import FLAM

bb = BlackBody1D(temperature=5778*u.K)
wav = np.arange(1000, 110000) * u.AA
flux = bb(wav).to(FLAM, u.spectral_density(wav))

with quantity_support():
    plt.figure()
    plt.semilogx(wav, flux)
    plt.axvline(bb.lambda_max.to_value(u.AA), ls='--')
    plt.show()

(Source code, png, hires.png, pdf)

../_images/synphot-blackbody-BlackBody1D-1.png

Attributes Summary

`bolometric_flux`
`input_units`	This property is used to indicate what units or sets of units the evaluate method expects, and returns a dictionary mapping inputs to units (or `None` if any units are accepted).
`input_units_equivalencies`
`lambda_max`	Peak wavelength when the curve is expressed as power density.
`param_names`	Names of the parameters that describe models of this type.
`temperature`

Methods Summary

evaluate(x, temperature, bolometric_flux)

Evaluate the model.

Attributes Documentation

bolometric_flux = Parameter('bolometric_flux', value=1.0, unit=erg / (s cm2), bounds=(0, None))¶

input_units¶

input_units_equivalencies = {'x': [(Unit("m"), Unit("Hz"), <function spectral.<locals>.<lambda>>), (Unit("m"), Unit("J"), <function spectral.<locals>.<lambda>>), (Unit("Hz"), Unit("J"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>), (Unit("m"), Unit("1 / m"), <function spectral.<locals>.<lambda>>), (Unit("Hz"), Unit("1 / m"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>), (Unit("J"), Unit("1 / m"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>), (Unit("1 / m"), Unit("rad / m"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>), (Unit("m"), Unit("rad / m"), <function spectral.<locals>.<lambda>>), (Unit("Hz"), Unit("rad / m"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>), (Unit("J"), Unit("rad / m"), <function spectral.<locals>.<lambda>>, <function spectral.<locals>.<lambda>>)]}¶

lambda_max¶: Peak wavelength when the curve is expressed as power density.

param_names = ('temperature', 'bolometric_flux')¶

Names of the parameters that describe models of this type.

The parameters in this tuple are in the same order they should be passed in when initializing a model of a specific type. Some types of models, such as polynomial models, have a different number of parameters depending on some other property of the model, such as the degree.

When defining a custom model class the value of this attribute is automatically set by the Parameter attributes defined in the class body.

temperature = Parameter('temperature', value=5000.0, unit=K, bounds=(0, None))¶

Methods Documentation

evaluate(x, temperature, bolometric_flux)[source]¶

Evaluate the model.

Parameters:

xfloat, ndarray, or Quantity: Frequency at which to compute the blackbody. If no units are given, this defaults to Hz.
temperaturefloat, ndarray, or Quantity: Temperature of the blackbody. If no units are given, this defaults to Kelvin.
bolometric_fluxfloat, ndarray, or Quantity: Desired integral for the blackbody.

Returns:

ynumber or ndarray: Blackbody spectrum. The units are determined from the units of bolometric_flux.

Navigation

BlackBody1D¶