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Summary form only given. A very simple and highly practical computation procedure has been recently developed, coded, tested, validated, and intensively used to generate and graphically visualize the plane-wave k-space spectra of given aperture-field distributions, and the corresponding far-field patterns. The complex, planar input aperture-field distributions to be processed can be either defined analytically or read-in as files of numerical data. The new, highly-efficient procedure has been developed and coded using the very concise, and powerful high-level programming language of MATLAB 4.0. The MATLAB 4.0 numerical computation and graphic visualization system, that runs on both IBM-compatible PCs under Windows 3.1 and on SUN 'SPARK' workstations under UNIX, was found to be eminently suited to rapid prototyping, development, and debugging of the rather sophisticated algorithms of applied computational electromagnetics. The developed MATLAB 4.0 code accepts both analytical and numerical definitions of the input planar aperture-field distributions.