Phase and delay in corporate-fed arrays
The distribution of phase and delay in corporate-fed phased arrays is examined. RMS phase errors versus scan angle are shown for digital phasers. The phaser bits should all be located at each element. The delayer bits can be also, but delayer loss, dispersion, temperature sensitivity, and size mitigate against using so many delayers. Alternative topologies, where delay bits are distributed in the corporate feed, are examined.
Beam shaping using slot arrays
Tapered amplitude distributions are popularly used to generate narrow beams with specified side lobes. There exits several tapers for the above purpose. The line source patterns and those of discrete radiators and those of arrays of isotropic radiators are found to be almost identical. This is true for large arrays. By introducing the suitable phase distributions it has been possible to convert narrow beams into desired shapes. In the present work, a suitable non linear phase distribution is numerically evaluated for different arrays to produce the above desired patterns. The shaped beam patterns are computed for arrays of slots. The patterns are presented in sinthetas-domain for both small and large arrays. The data presented in this paper is extremely useful for array designer in pattern synthesis.
The unfolded universe of elementary particles. A geometric explanation of the standard model structure
We propose a geometric explanation of the standard model of Glashow, Weinberg and Salam for the known elementary particles. Our model is a generic Quantum Field Theory in dimension four, obtained by developing along a Lorentz sub-manifold the lagrangian of Einstein and Dirac in dimension twelve. The main mechanism which gives birth to the standard model is a certain gauge fixing of triality, which permits to identify the multiplicity of fermions, as seen from the four dimensional world, with the eight unseen dimensions of the generating universe. In this way we get the known tables of particles, explaining the series of fermions and the gauge bosons. We suggest that the Higgs field dynamics could appear through a bosonization of the right handed neutrino and correspond to a displacement in the unseen dimensions. We also propose hypotheses for dark matter, and perhaps dark energy. Then we suggest predictions to go beyond the standard model.