Time domain presentation for ELF pulses with accelerated convergence

Abstract

[1] A compact time domain solution is constructed for natural electromagnetic pulses propagating in the Earth-ionosphere cavity. An algorithm is discussed for accelerating the convergence of the time series presenting the pulsed waveform. Compact formulae are derived and computational results are presented for a set of the source distances.

Three‐dimensional finite difference time domain modeling of the Schumann resonance parameters on Titan, Venus, and Mars

“…A large difference is found with the frequencies predicted by Nickolaenko et al [2003], which are approximately 2 times higher than our FDTD results. However, the Q factors obtained with FDTD model are within the range estimated by Nickolaenko et al [2003].…”

“…Our FDTD results with ''knee'' model are close to the data reported by Pechony and Price [2004], and somewhat lower than values calculated by Morente et al [2003]. A large difference is found with the frequencies predicted by Nickolaenko et al [2003], which are approximately 2 times higher than our FDTD results. However, the Q factors obtained with FDTD model are within the range estimated by Nickolaenko et al [2003].…”

“…[15] Table 2 shows the comparison of our FDTD results for Titan and previous studies [Morente et al, 2003;Nickolaenko et al, 2003;Pechony and Price, 2004]. The frequencies and Q factors of the first three SR modes are given.…”

“…The parameters are chosen to be the same as those in the Optimistic and Pessimistic models discussed by Nickolaenko et al [2003]. The reference heights are 42 and 38 km, and the scale heights are 2.7 and 4.7 km, respectively, and s 0 = 5.55 Â 10 À10 S/m.…”

“…A finite difference method has been developed by Ando et al [2005] to analyze the SR problems and to reconstruct the lightning distribution in the Earth-ionosphere cavity. Nickolaenko et al [1999Nickolaenko et al [ , 2004 and Nickolaenko and Rabinowicz [2001] gave an analytical solution for the ELF pulses from the lighting strokes in the time domain. In our previous work [Yang and Pasko, 2005], a threedimensional (3-D) FDTD model is developed to describe the ELF propagation in the Earth-ionosphere cavity and the variation of SR parameters during solar proton events and X-ray bursts.…”