View source: R/beamDiskOverlap.R
beamDiskOverlap | R Documentation |
Calculate the overlap integral of a 2-D Gaussian beam and a uniform disk, including a shift between the centers of the beam and disk.
beamDiskOverlap(s = 0, r = 1, theta.fwhm = 1)
s |
Shift between centers |
r |
Disk radius |
theta.fwhm |
Gaussian beam FWHM |
Converts the 2-D integral to 1-D for speed. Use consistent units.
Value of the overlap integral, normalized to unity for a beam much smaller than the disk.
Andrew Harris
"Telescope illumination and beam measurements for submillimeter astrononomy," A.I. Harris, Internat. J. IR and mm Waves, 9, 231 (1988)
s <- seq(0, 10, 0.1) plot(s, beamDiskOverlap(s, 4, 1), t='l', col=4)
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