Bases: astropy.modeling.Fittable2DModel
Two dimensional Airy disk model.
Parameters: | amplitude : float
x_0 : float
y_0 : float
radius : float
|
---|---|
Other Parameters: | |
fixed : a dict
tied : dict
bounds : dict eqcons : list
ineqcons : list
|
See also
Notes
Model formula:
f(r) = A \left[\frac{2 J_1(\frac{\pi r}{R/R_z})}{\frac{\pi r}{R/R_z}}\right]^2
Where J_1 is the first order Bessel function of the first kind, r is radial distance from the maximum of the Airy function (r = \sqrt{(x - x_0)^2 + (y - y_0)^2}), R is the input radius parameter, and R_z = 1.2196698912665045).
For an optical system, the radius of the first zero represents the limiting angular resolution and is approximately 1.22 * lambda / D, where lambda is the wavelength of the light and D is the diameter of the aperture.
See [R5] for more details about the Airy disk.
References
[R5] | (1, 2) http://en.wikipedia.org/wiki/Airy_disk |
Attributes Summary
amplitude | |
param_names | |
radius | |
x_0 | |
y_0 |
Methods Summary
evaluate(x, y, amplitude, x_0, y_0, radius) | Two dimensional Airy model function |
Attributes Documentation
Methods Documentation
Two dimensional Airy model function