astropy:docs

AiryDisk2D

class astropy.modeling.functional_models.AiryDisk2D(amplitude, x_0, y_0, width, **constraints)[source] [edit on github]

Bases: astropy.modeling.core.Parametric2DModel

Two dimensional Airy disk model.

Parameters:

amplitude : float

Amplitude of the Airy function.

x_0 : float

x position of the maximum of the Airy function.

y_0 : float

y position of the maximum of the Airy function.

width : float

Width of the Airy function.

Notes

Model formula:

f(r) = A \frac{J_1(2 \pi r)}{\pi r}

Where J1 is the first order Bessel function of first kind.

fixed: a dict
a dictionary {parameter_name: boolean} of parameters to not be varied during fitting. True means the parameter is held fixed. Alternatively the fixed property of a parameter may be used.
tied: dict
a dictionary {parameter_name: callable} of parameters which are linked to some other parameter. The dictionary values are callables providing the linking relationship. Alternatively the tied property of a parameter may be used.
bounds: dict
a dictionary {parameter_name: boolean} of lower and upper bounds of parameters. Keys are parameter names. Values are a list of length 2 giving the desired range for the parameter. Alternatively the min and max properties of a parameter may be used.
eqcons: list
A list of functions of length n such that eqcons[j](x0,*args) == 0.0 in a successfully optimized problem.
ineqcons : list
A list of functions of length n such that ieqcons[j](x0,*args) >= 0.0 is a successfully optimized problem.

Attributes Summary

amplitude
param_names list() -> new empty list
width
x_0
y_0

Methods Summary

eval(x, y, amplitude, x_0, y_0, width) Two dimensional Airy model function

Attributes Documentation

amplitude
param_names = ['amplitude', 'x_0', 'y_0', 'width']
width
x_0
y_0

Methods Documentation

classmethod eval(x, y, amplitude, x_0, y_0, width)[source] [edit on github]

Two dimensional Airy model function

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