direction#

optika.direction(angles)[source]#

Given a 2D vector of azimuth and elevation angles, convert to a 3D vector of direction cosines.

Parameters:: angles (AbstractCartesian2dVectorArray) – A vector of azimuth and elevation angles.
Return type:: Cartesian3dVectorArray

Notes

If the azimuth and elevation angles are taken to \(\phi_x\) and \(\phi_y\), the direction cosines \(\vec{d}\) can be found by

\[\vec{d} = R_y(\phi_x) R_x(\phi_y) \hat{z}\]

where \(R_x(\theta)\) and \(R_y(\theta)\) are the rotation matrices about the \(x\) and \(y\) axes respectively.