@RadialProfile

To enable combinations of momentum-space only kinetic solvers with varying radial distributions of electrons, SOFT2 provides the RadialProfile module which applies a momentum-independent radial profile to a distribution function. This module must be combined with any of the @DistributionFunction modules that support coupling.

Types

SOFT provides several different types of radial profiles, each with its own set of parameters. Which type of radial profile to use is specified using the secondary type of the configuration block, i.e. by giving the type in parentheses after the block name. The available distribution function types are listed in the table below.

Type	Function
(bessel)	\(J_0\left(\frac{r - r_{\rm min}}{r_{\rm max} - r_{\rm min}}x_0\right)\)
(gaussian)	\(a\exp\left[-\left(\frac{\rho-b}{c}\right)^2\right]\)
(linear)	\(1 - \frac{r - r_{\rm min}}{r_{\rm max} - r_{\rm min}}\)
(power)	\(1 - \left( \frac{r - r_{\rm min}}{r_{\rm max} - r_{\rm min}} \right)^b\)
(uniform)	\(1\)

Here, \(r\) denotes the minor radial location of the particle, \(r_{\rm min}\) and \(r_{\rm max}\) are the minor radial coordinates of the inner and outer edges of the electron beam, and \(b\) is a model parameter. Note that the default values \(r_{\rm min}\) and \(r_{\rm max}\) are 0 and the separatrix radius respectively. The radii may not be negative, and if \(r_{\rm min} > 0\), the electron beam will be hollow.

Example configuration

Please, see the pages for the various radial profile types to view examples of how to configure each.