Three Dimensional Phased Array Radar

Normal interpretations of Huygens' spherical wavefronts have not changed for hundreds of years. It is time to rethink the propagation of waves from traditional eikonals of sine and cosine into a dyadic of space filling curves and basic back scattering. In essence, the direction of propagation normally found in waves comes from the solution to the wave equation. We must expand our conception of solutions to this second order differential relation and expand the conception of propagating waves into something that looks like the Hilbert space filling curve. To measure this, a three dimensional grid is needed to pick up the instantaneous behavior of waves superimposed in time. From analysis of a three dimensional grid of points connected and correlated to an expanding wave, can the Hilbert Huygens correction occur. Of course, nature is not simple. Waves are not pure sinusoidal, just like the ocean waves are filled with turbulence. General Physics is leading the effort to build a new phased array radar system that involves the superposition of waves in a grid that corresponds to the analysis of a Hilbert space filling curve. The resulting image will be placed on an oscilloscope with a pattern correlating to constructive and destructive interference with nodes corresponding to the spatial (and frequency) variables of the wave.