Return Stroke Current Models
Estimating Return Stroke Current Parameters from Remote Measurements of EM Fields




Magnetic Field


Highlighted items may be missing on the class handout


Electric Field







Representative return stroke E field waveforms at different distances


Representative B field waveforms (B field has only radiation and induction fields)



Now we don't really know what I(z,t).
Current, I(0,t),  is sometimes measured at the bottom of the lightning channel.

A current model either tries to determine or specifies I(z,t).
(a)   plasma physics models
(b)   distributed R,L,C models

(c)   I(z,t) is specified.  Try for good agreement between calculated and measured             fields.




One of the first current models was the Bruce Golde model








Soon after,  the Transmission Line Model was proposed

A figure will illustrate what this implies














The bottom two equations are widely used to estimate peak return stroke current (I) and current derivative (dI/dt) amplitudes from remote field measurements.



Krider, Leteinturier, Willett paper key points

Studied natural lightning, 25 to 45 km away, out over the ocean (high conductivity of salt water preserves high frequency signal content)

Recorder triggered on a 5 MHz RF signal rather than a dE/dt signal

Corrected for progagation effects

Used the transmission line equations with velocity values that provided the best fit between measured peak E, dE/dt and peak I, dI/dt in the rocket-triggered lightning tests.