Fractal Electromagnetic Radiation: A Hilbert Huygens Approach

Normally the wave equation in electrodynamics is taught by combining the spatial and time derivatives of Maxwell's equations, then summing their parts and equating them to find a relation for a changing field in space and time. This second order recursion is just that, a relation of iteration and solution spaces that generate what are commonly thought of as sine waves. However, it is entirely possible to posit a new solution to the wave equation that contains a multi-variable abscissa corresponding to a fractal electromagnetic wave. Motivating this is the presence of fractal networks in nature. Lightning strikes, electrical arcing, and physical systems behave according to scale invariant mechanics such that the EM wave, the photon, has a shape that is not simply sinusoidal. In order to find the shape of this wave, a phased array radar detector, a three dimensional array, must be built to find the multi-valued amplitudes associated with the traveling photon. General Physics is in the process of investigating the quantum sensors that are needed to uncover new forms of electromagnetic radiation that will revolutionize the electrical engineering transmission and receiving paradigm. What General Physics plans to do, is to work with NASA SBIR to develop a phase I plan. Here, an array of detectors will be designed and built to measure novel electromagnetic waveforms that are not the traditional sine and cosine wave. General Physics will keep updating the blog as more information about the research project develops.