Beta1D

class sherpa.astro.models.Beta1D(name='beta1d')

Bases: sherpa.models.model.ArithmeticModel

One-dimensional beta model function.

The beta model is a Lorentz model with a varying power law.

r0

The core radius.

beta

This parameter controls the slope of the profile at large radii.

xpos

The reference point of the profile. This is frozen by default.

ampl

The amplitude refers to the maximum value of the model, at x = xpos.

See also

Beta2D, Lorentz1D, NormBeta1D

Notes

The functional form of the model for points is:

f(x) = ampl * (1 + ((x - xpos) / r0)^2)^(0.5 - 3 * beta)

The grid version is evaluated by numerically intgerating the function over each bin using a non-adaptive Gauss-Kronrod scheme suited for smooth functions [1], falling over to a simple trapezoid scheme if this fails.

References

[1]	https://www.gnu.org/software/gsl/manual/html_node/QNG-non_002dadaptive-Gauss_002dKronrod-integration.html

Attributes Summary

thawedparhardmaxes
thawedparhardmins
thawedparmaxes
thawedparmins
thawedpars

Methods Summary

apply(outer, \*otherargs, \*\*otherkwargs)
calc(pars, xlo, \*args, \*\*kwargs)
get_center()
guess(dep, \*args, \*\*kwargs)
reset()
set_center(xpos, \*args, \*\*kwargs)
startup()
teardown()

Attributes Documentation

thawedparhardmaxes

thawedparhardmins

thawedparmaxes

thawedparmins

thawedpars

Methods Documentation

apply(outer, *otherargs, **otherkwargs)

calc(pars, xlo, *args, **kwargs)

get_center()

guess(dep, *args, **kwargs)

reset()

set_center(xpos, *args, **kwargs)

startup()

teardown()