In a recent communication, we have shown the existence of dispersion relations between the real and imaginary parts of the far-field amplitude distributions due to apertures, which are realized by the superposition of a half-plane with certain apertures, along the direction perpendicular to the straight edge. In this communication, we present two new aspects pertaining to the Fraunhofer diffraction of these apertures, namely, (i) an extension to nonreplicating double apertures and (ii) establishment of an analogy between the far-field amplitude distribution and the time domain description of a single sideband (SSB) signal in communication theory. The theory is further extended to study far-field diffraction patterns of a set of multiple nonreplicating periodic apertures. Theoretical and experimental results in support of the descriptions of far-field amplitude and irradiance distributions are presented.
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