Table 1
Scattering kernels.
| Kernel name | Definition | FWHM |
|
|
||
| Gauss | KG(r;σ) ∝ exp(− r2/(2σ2)) |
|
| Lorentz | KL(r;γ) ∝ (1 + r2/γ2)-1 | WL = γ·2 |
| Moffat | KM(r;α,β) ∝ (1 + r2/α2)−β |
|
| Voigt | KV(r;σ,γ) ∝ KG(r;σ) ∗ KL(r;γ) |
|
Notes. All kernels are functions of the radial coordinate r = (x2 + y2)1/2. They are normalized in the Fourier domain by division with the value in the origin. KM is from Moffat (1969). The approximate expression for WV is given by Olivero & Longbothum (1977) and is claimed to be accurate to within a few %0.
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