Transformation of Antenna Generalized Scattering Matrix During Rotation and Linear Displacement

The problem of generalized scattering matrix (GSM) transformation during an angular or linear displacement of the antenna is considered. To work out the problem, it is suggested that the entries of the antenna GSM are presented as two different sets of matrices. One set is used for GSM transformation in case of antenna rotation, whereas the other in case of antenna linear displacement. Expressions have been derived that allow GSM calculation for the antenna's new position in space from its initial, i.e., predisplacement or prerotation GSM. The derived computation formulas comprise universal and independent of a particular moving antenna transformation matrices, the sizes of which are smaller than the dimension of the overall transformation matrix usually required to perform GSM calculations. Results of a practical computation verifying the derived equations are presented.