Extensions to the coupling coefficient calculations for muon telescopes

Coupling coefficients have been previously calculated for muon telescopes using interpolation from a limited set of asymptotic directions of arrival of primary particles. These calculations have not incorporated curvature of the atmosphere and thus diverge from the true response at zenith angles greater than about 75 degrees. An improved method incorporating the orbital directions of the primary particles in the summation over all incident directions defined by the grid-elements of the telescope trays is presented. The extended algorithm used in the computation of coupling coefficients is described, along with a summary of the sensitivity of some coefficients to the geographic location and pointing conditions of the telescope.