The incremental angle, A0gH results from the antenna tilt. Substituting Eqs. 32 and 3 into 31, and using the small angle approximations the incremental changes in grating lobe angle and distance from rectenna boresight can be expressed in the form Grating Lohe Intensities as a Function of Tilt It was previously shown (Eq. 25) that the subarray pattern had a \IXgYa dependence for off-axis locations, and a \/X„ or \/Yg dependence on the X or Y axes. Since the steepest fall off of the subarray pattern is along the </>„ = 45° (also -45°, 135°, etc.) axis and the pattern has its slowest decay along the X and Y axes, the = 0 and <b„ = 45° axes give the maximum and minimum values for the variations in grating lobe intensities as a function of tilt. The grating lobes occur when Xg = nkR0/Sx, from Eq. 15. When the antenna is tilted in the </>r = 0° direction, the magnitude of the subarray pattern at the location of the grating lobe is given by Eq. 35 evaluated at where the second term includes the pattern shift. The argument of the subarray
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