Propagation effects of a fractal rough ocean surface on the vertical electric field generated by lightning return strokes

Abstract Based on an improved two-dimension (2D) fractal model of rough ocean surface, the propagation effects of the rough ocean surface on the vertical electric fields generated by lightning return strokes are analyzed. The results show that the rough ocean surface has much effect on the electric field derivatives, but has no or little effect on the field peaks. The frequency above 10 MHz is attenuated significantly by the rough ocean surface, and the rapid attenuation of frequency above 10 MHz in the experimentally obtained spectrum may be taken into account the errors introduced by the roughness of the ocean surface.

[1]  Federico Delfino,et al.  Lightning return stroke current radiation in presence of a conducting ground: 2. Validity assessment of simplified approaches , 2008 .

[2]  V. Cooray,et al.  Propagation Effects Due to Finitely Conducting Ground on Lightning-Generated Magnetic Fields Evaluated Using Sommerfeld's Integrals , 2009, IEEE Transactions on Electromagnetic Compatibility.

[3]  V Cooray,et al.  Validity of Simplified Approaches for the Evaluation of Lightning Electromagnetic Fields Above a Horizontally Stratified Ground , 2010, IEEE Transactions on Electromagnetic Compatibility.

[4]  E. Philip Krider,et al.  Submicrosecond risetimes in lightning return-stroke fields , 1980 .

[5]  V. Cooray On the Accuracy of Several Approximate Theories Used in Quantifying the Propagation Effects on Lightning Generated Electromagnetic Fields , 2008, IEEE Transactions on Antennas and Propagation.

[6]  V. Cooray,et al.  Shapes and amplitudes of the initial peaks of lightning-induced voltage in power lines over finitely conducting earth: Theory and comparison with experiment , 1986 .

[7]  G. Franceschetti,et al.  Scattering from natural rough surfaces modeled by fractional Brownian motion two-dimensional processes , 1999 .

[8]  J. Wait The ancient and modern history of EM ground-wave propagation , 1998 .

[9]  Vladimir A. Rakov,et al.  On different approaches to calculating lightning electric fields , 2001 .

[10]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[11]  James R. Wait,et al.  Recent analytical investigations of electromagnetic ground wave propagation over inhomogeneous earth models , 1974 .

[12]  Jeffrey C. Bailey,et al.  Lightning electromagnetic radiation field spectra in the interval from 0.2 to 20 MHz , 1990 .

[13]  Vernon Cooray,et al.  Propagation effects caused by a rough ocean surface on the electromagnetic fields generated by lightning return strokes , 1994 .

[14]  D. Barrick Theory of HF and VHF Propagation Across the Rough Sea, 2, Application to HF and VHF Propagation Above the Sea , 1971 .

[15]  Martin A. Uman,et al.  Lightning amplitude spectra in the interval from 100 kHz to 20 MHz , 1981 .

[16]  M. Rubinstein,et al.  An experimental test of a theory of lightning-induced voltages on an overhead wire , 1989 .

[17]  Vernon Cooray,et al.  Propagation of lightning generated transient electromagnetic fields over finitely conducting ground , 2000 .

[18]  V. Rakov,et al.  Distribution of charge along the lightning channel : Relation to remote electric and magnetic fields and to return-stroke models , 1997 .

[19]  James R. Wait,et al.  Transient Fields of a Vertical Dipole Over a Homogeneous Curved Ground , 1956 .

[20]  Guo Li Electromagnetic Scattering from 2D Band limited Fractal Surface Using Kirchhoff Approximation , 2000 .

[21]  Donald E. Barrick,et al.  Theory of HF and VHF Propagation Across the Rough Sea, 1, The Effective Surface Impedance for a Slightly Rough Highly Conducting Medium at Grazing Incidence , 1971 .

[22]  M. Rubinstein,et al.  An approximate formula for the calculation of the horizontal electric field from lightning at close, intermediate, and long range , 1996 .

[23]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[24]  Federico Delfino,et al.  Lightning return stroke current radiation in presence of a conducting ground: 1. Theory and numerical evaluation of the electromagnetic fields , 2008 .

[25]  Fabrizio Berizzi,et al.  Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal , 2002 .