Maximization of Power in the Main Beam Lobe A desirable beam taper should allow as much of the total power to fall within the main lobe as possible. The fraction of power in the main lobe of the beam can be calculated by integrating Equation 2 or 3 over the area of the main lobe and dividing by the integral over all two-dimensional space. The main lobe includes all of the area in a circle whose center is at the peak of the beam and whose edge is at the first zero of the diffraction pattern. For the n = 1 (untapered) case, a formula derived by Born and Wolf [7], which they attribute to Lord Rayleigh, can be used, lire fraction of power at non-dimensional radius is given by: lire fraction of power in the main lobe can be found by setting u equal to a0, the position of the first zero of JP Since J^ao) is, by definition, 0, this yields:
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