illum_gauss

pyoof.aperture.illum_gauss(x, y, I_coeff, pr)

Illumination function, \(E_\mathrm{a}(x, y)\), Gaussian, sometimes called apodization, taper or window. Represents the distribution of light in the primary reflector. The illumination reduces the side lobes in the FT and it is a property of the receiver.

Parameters:

x : ndarray

Grid value for the \(x\) variable in meters.

y : ndarray

Grid value for the \(y\) variable in meters.

I_coeff : ndarray

List which contains 4 parameters, the illumination amplitude, \(A_{E_\mathrm{a}}\), the illumination taper, \(\sigma_\mathrm{dB}\) and the two coordinate offset, \(( x_0, y_0)\). The illumination coefficients must be listed as follows, I_coeff = [i_amp, sigma_dB, x0, y0].

pr : float

Primary reflector radius in meters.

Returns:

Ea : ndarray

Illumination function, \(E_\mathrm{a}(x, y)\).

Notes

The Gaussian illumination function has the same formula of a normalized Gaussian distribution.