Modeling ELF radio atmospheric propagation and extracting lightning currents from ELF observations

Observations of extremely low frequency (ELF) radio atmospherics (sferics), the transient electromagnetic fields radiated by lightning discharges, are used to determine the current moment waveforms of vertical lightning disch arges. In order to extract this information the propagation of radio atmosp herics from source to receiver must be modeled accurately, especially in vi ew of the important role played by the D and E regions of the ionosphere at these long (>200 km) wavelengths. We model broadband ELF sferic waveforms by adapting a single-frequency ELF propagation code to calculate an ELF pro pagation impulse response under the assumption of horizontal ionospheric ho mogeneity, with which we extract the source lightning current waveform from an observed ELF sferic waveform using a deconvolution method based on line ar regularization. Tests on modeled sferics indicate that the method is acc urate and relatively insensitive to noise, and we demonstrate the applicati on of the technique with a sprite-associated sferic. Since ELF sferics can often be observed many thousands of kilometers from the source discharge, t he technique developed here represents a powerful new method of remotely se nsing lightning current waveforms.