Mitigating VHF Lightning Source Retrieval Errors

AbstractThe problem of inferring the location and time of occurrence of a very high frequency (VHF) lightning source emission from Lightning Mapping Array (LMA) network time-of-arrival (TOA) measurements is closely examined in order to clarify the cause of retrieval errors and to determine how best to mitigate these errors. With regard to this inverse problem, the previous literature lacks a comprehensive discussion of the associated forward problem. Hence, the forward problem is analyzed in this study to better clarify why retrieval errors increase with increasing source horizontal range and/or decreasing source altitude. Further insight is obtained by performing carefully designed Monte Carlo inversion simulations that provide specific retrieval error plots, which in turn lead to clear recommendations for mitigating retrieval errors. Based on all of the numerical results, the following strategies are recommended for mitigating retrieval errors (when possible, and without obstructing the line of sight): ...

[1]  K.L. Cummins,et al.  An Overview of Lightning Locating Systems: History, Techniques, and Data Uses, With an In-Depth Look at the U.S. NLDN , 2009, IEEE Transactions on Electromagnetic Compatibility.

[2]  D. E. Proctor VHF radio pictures of cloud flashes , 1981 .

[3]  D. E. Proctor A hyperbolic system for obtaining VHF radio pictures of lightning , 1971 .

[4]  Martin A. Uman,et al.  Lightning source locations from VHF radiation data for a flash at Kennedy Space Center , 1980 .

[5]  Paul Krehbiel,et al.  Observations of VHF source powers radiated by lightning , 2001 .

[6]  Sem Saeland Regarding magnetic work in Norway , 1923 .

[7]  K. Schmidt,et al.  Lightning detection with 3‐D discrimination of intracloud and cloud‐to‐ground discharges , 2004 .

[8]  Sailing He,et al.  Explicit full identification of a transient dipole source in the atmosphere from measurement of the electromagnetic fields at several points at ground level , 2000 .

[9]  William W. Hager,et al.  An analysis of errors in the location, current, and velocity of lightning , 1995 .

[10]  Vladimir A. Rakov,et al.  Compact intracloud lightning discharges: 1. Mechanism of electromagnetic radiation and modeling , 2010 .

[11]  P. Krehbiel,et al.  Accuracy of the Lightning Mapping Array , 2003 .

[12]  Sailing He,et al.  Identification of a transient electric dipole over a conducting half space using a simulated annealing algorithm , 2000 .

[13]  Vladimir A. Rakov,et al.  On phenomenology of compact intracloud lightning discharges , 2010 .

[14]  Vladimir A. Rakov,et al.  Compact intracloud lightning discharges: 2. Estimation of electrical parameters , 2010 .

[15]  William J. Koshak,et al.  On the retrieval of lightning radio sources from time-of-arrival data , 1996 .

[16]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[17]  A. V. Panyukov,et al.  Estimation of the location of an arbitrarily oriented dipole under single‐point direction finding , 1996 .

[18]  Eric C. Bruning,et al.  Lightning Mapping Array flash detection performance with variable receiver thresholds , 2016, Journal of geophysical research. Atmospheres : JGR.

[19]  D. E. Proctor,et al.  VHF radio pictures of lightning flashes to ground , 1988 .

[20]  Steven J. Goodman,et al.  North Alabama Lightning Mapping Array (LMA): VHF Source Retrieval Algorithm and Error Analyses , 2004 .

[21]  John M. Hall,et al.  Characterization and applications of VLF/LF source locations from lightning using the Huntsville Alabama Marx Meter Array , 2013 .

[22]  E. M. Thomson,et al.  System for locating the sources of wideband dE/dt from lightning , 1994 .