Abstract

There are different numerical models, such as the transmission-line matrix model or partially uniform knee model used to predict Schumann radiation. This report introduces a new method build on the previously stated idea of locating Schumann resonances on a single particle's radiation pattern using a Golden ratio. In addition, this different prediction method for Schumann resonances derived from the first principle fundamental physics combining both particle radiation patterns and the mathematical concept of the Golden ratio spiral that expands at the rate of Golden ratio. Moreover, extending the idea of ratios to a specific ratio called octaves used in standing waves that identify the identical sounding notes with different frequencies. Knowing the value of initial Schumann resonant frequency, this method allows us to predict the magnitude of other Schumann resonances on the radiation pattern of a single accelerated charged particle conveniently. In addition, it also allows us to find and match Schumann resonances that are on the same radiation lobe, which is named electromagnetic Schumann octaves. Furthermore, it is important to find Schumann octaves as they propagate in the same direction and have a higher likelihood of wave interference.