Since array amplitude shading can be implemented with relative ease in sonar receiving systems, the effectiveness of optimum beamforming by amplitude shading [H. S. C. Wang, J. Acoust. Soc. Am. 56, S18(A) (1974)] is investigated in more detail. It is demonstrated that in the case of broadside arrays in an isotropic noise field, the optimized amplitude shading previously reported by the author is identical to the conventional optimum solution allowing both amplitude and phase shading [see, for example, D. K. Cheng, Proc. IEEE 59, 1664 (1971)]. When the ambient noise and interference field is anisotropic, the two solutions are distinct from each other, with the latter yielding slightly lower noise and interference power for a given constrained received signal power. The difference between the noise and interference power at the output of the two optimum beamformers is, however, too small to cause any significant difference in the performance of practical receiving systems. A quantitative comparison of array performance with conventional amplitude shading, optimized amplitude shading, and optimized amplitude and phase shading under various field conditions is exhibited. This further supports our earlier belief that adaptive beamforming based on amplitude shading can provide maximum performance with minimal amount of circuit hardware and/or data processing.