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

xQuantity

Grid value for the \(x\) variable in length units.

yQuantity

Grid value for the \(y\) variable in length units.

I_coefflist

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, c_dB, x0, y0], with units as dimensionless, decibels and length, respectively.

prfloat

Primary reflector radius in length units.

Returns

Eandarray

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

Notes

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