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Function: beam_pattern()
void beam_pattern(float theta, float phi, float psi, float *plus, float *cross)
This routine computes the beam pattern functions, and ,
for some specified angles , , and . The arguments are:
 theta: Input. The polar angle (radians from zenith).
 phi: Input. The azimuthal angle (radians
counterclockwise from the first arm).
 psi: Input. The polarization angle (radians).
 plus: Output. The detector response function .
 cross: Output. The detector response function .
The beam pattern functions are calculated according to the following formulae:

(12.6.284) 
and

(12.6.285) 
 Author: Jolien Creighton, jolien@tapir.caltech.edu
 Comments: The beam pattern formulae, as well as a precise definition
of the angles can be found in:
Kip Thorne in 300 Years of Gravitation, S. Hawking and W. Israel
editors (Cambridge University Press, 1987). The formulae are suitable for
detectors in which the arms are perpendicular; they are not suitable for the
GEO600 site because the opening angle is approximately .
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Bruce Allen
20001119