radsafer (version 2.4.0)

disk_to_disk_solid_angle: Calculate fractional solid angle for disk to disk

Description

Returns fractional solid angle for a geometry frequently encountered in health physics analysis of air samples or disk smears. This is useful in correcting configurations that do not exactly match calibration (by ratioing the respective fractional solid angles). While units of steridian are used for solid angle, this function only uses a fraction of the total field of view.

Usage

disk_to_disk_solid_angle(
  r.source,
  gap,
  r.detector,
  plot.opt = "n",
  runs = 10000,
  off_center = 0,
  beep = "off"
)

Value

Fractional solid angle and plot of simulation.

Arguments

r.source

source radius (all units must be consistent)

gap

distance between source and detector

r.detector

detector radius

plot.opt

plot options - "2d", "3d" or "n".

runs

Number of particles to simulate. Running more particles improves accuracy. Default = 1e4.

off_center

measure of eccentricity between the center of the source and the center of the disk. This is applied to the x-dimension of the source.

beep

Set to "on" if desired. Default is "off". Alerts to end of run if runs is set to a high number.

References

https://karthikkaranth.me/blog/generating-random-points-in-a-sphere/ https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance

See Also

Other rad measurements: air_dens_cf(), neutron_geom_cf(), scaler_sim(), tau_estimate()

Examples

disk_to_disk_solid_angle(r.source = 15, gap = 20, r.detector = 10, plot.opt = "n", runs = 1e3)