Editing Computational implementation of integral equations
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 139: | Line 139: | ||
(see Blum and Torruella Eq. 5.6 in Ref. 7 or Lado Eq. 39 in Ref. 3), | (see Blum and Torruella Eq. 5.6 in Ref. 7 or Lado Eq. 39 in Ref. 3), | ||
where <math>J_l(x)</math> is a [[ | where <math>J_l(x)</math> is a [[Bessel function]] of order <math>l</math>. | ||
`step-down' operations can be performed by way of sin and cos operations | `step-down' operations can be performed by way of sin and cos operations | ||
of Fourier transforms, see Eqs. 49a, 49b, 50 of Lado Ref. 3. | of Fourier transforms, see Eqs. 49a, 49b, 50 of Lado Ref. 3. | ||
Line 149: | Line 149: | ||
:<math>f(r)=2\pi \int_0^\infty g(q) J_0(2 \pi qr)q ~{\rm d}q</math> | :<math>f(r)=2\pi \int_0^\infty g(q) J_0(2 \pi qr)q ~{\rm d}q</math> | ||
====Conversion from the spatial reference frame back to the axial reference frame==== | ====Conversion from the spatial reference frame back to the axial reference frame==== |