A new two-dimensional cylindrically symmetric electromagnetic model of the
lightning-ionosphere interaction includes effects of both the lightning rad
iated electromagnetic pulses (EMP) and the quasi-electrostatic (QE) fields,
thus allowing effective studies of lightning-ionosphere interactions on ti
me scales ranging from several microseconds to tens of milliseconds. The te
mporal and spatial evolution of the electric field, lower ionospheric elect
ron density, and optical emissions calculated with the new model are used t
o investigate theoretically the effects of the lightning return stroke curr
ent waveform (i.e., the current rise and fall timescales) and of the observ
ational geometry on the optical signals observed with a photometer. For typ
ical lightning discharges of similar to 100 mu s duration the ionospheric r
esponse is dominated by the EMP-induced heating leading to the highly trans
ient and laterally expanding optical flashes known as elves. The optical si
gnal characteristics are found to be highly sensitive to both the observati
onal geometry and the current waveform. The onset delay with respect to the
lightning discharge, the duration, and the peak magnitude of optical emiss
ions are highly dependent on the elevation and azimuth angles of field of v
iew of individual photometric pixels. The shape of the optical signal clear
ly reflects the source current waveform. For a waveshape with risetime of s
imilar to 50 mu s or longer a double-pulse shape of the photometric signal
is observed. For cloud to ground lightning discharges of similar to 1 ms du
ration removing substantial amount of charge (i.e., similar to 100 C from 1
0 km altitude), heating and ionization changes induced by the QE field lead
to the mesospheric luminous glows with lateral extent < 100 km, referred t
o as sprites.