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Abstract
Lightning has been observed from above cloud top by using satellites, balloons, rockets, and high-altitude airplanes, each of which provides a unique perspective and holds the potential for gaining new understanding of lightning phenomena. During the 1980s extensive optical observations of lightning have been made from a NASA U-2 airplane with a goal toward placing a lightning sensor in geostationary orbit. Analysis of these U-2 measurements suggest that most of the light generated within a cloud escapes, and that the optical energy of lightning measured from above clouds is not significantly different than the measurements made from below of discharges to ground. Near-infrared optical measurements were made of nearly 1300 optical pulses produced by 79 lightning flashes. The median source estimate of peak flash radiance is approximately 108 W with a dynamic range of less than three orders of magnitude. Of these 79 flashes, 90 percent produced peak radiant energy densities of 4.7 μJ m−2 sr−1 or greater, relative to the full field of view of the instrument. The median pulse rise time and full width at half maximum are 240 and 370 μs, respectively. We interpret these slow optical rise times and broad pulse widths as primarily a result of multiple scattering within the cloud. The spectral characteristics in the near-infrared of the neutral emission lines observed from above clouds are found to be very similar to ground-based measurements.
Abstract
Lightning has been observed from above cloud top by using satellites, balloons, rockets, and high-altitude airplanes, each of which provides a unique perspective and holds the potential for gaining new understanding of lightning phenomena. During the 1980s extensive optical observations of lightning have been made from a NASA U-2 airplane with a goal toward placing a lightning sensor in geostationary orbit. Analysis of these U-2 measurements suggest that most of the light generated within a cloud escapes, and that the optical energy of lightning measured from above clouds is not significantly different than the measurements made from below of discharges to ground. Near-infrared optical measurements were made of nearly 1300 optical pulses produced by 79 lightning flashes. The median source estimate of peak flash radiance is approximately 108 W with a dynamic range of less than three orders of magnitude. Of these 79 flashes, 90 percent produced peak radiant energy densities of 4.7 μJ m−2 sr−1 or greater, relative to the full field of view of the instrument. The median pulse rise time and full width at half maximum are 240 and 370 μs, respectively. We interpret these slow optical rise times and broad pulse widths as primarily a result of multiple scattering within the cloud. The spectral characteristics in the near-infrared of the neutral emission lines observed from above clouds are found to be very similar to ground-based measurements.
Abstract
Lightning data from the U.S. National Lightning Detection Network (NLDN) are used to perform preliminary validation of the satellite-based Optical Transient Detector (OTD). Sensor precision, accuracy, detection efficiency, and biases of the deployed instrument are considered. The sensor is estimated to have, on average, about 20–40-km spatial and better than 100-ms temporal accuracy. The detection efficiency for cloud-to-ground lightning is about 46%–69%. It is most likely slightly higher for intracloud lightning. There are only marginal day/night biases in the dataset, although 55- or 110-day averaging is required to remove the sampling-based diurnal lightning cycle bias.
Abstract
Lightning data from the U.S. National Lightning Detection Network (NLDN) are used to perform preliminary validation of the satellite-based Optical Transient Detector (OTD). Sensor precision, accuracy, detection efficiency, and biases of the deployed instrument are considered. The sensor is estimated to have, on average, about 20–40-km spatial and better than 100-ms temporal accuracy. The detection efficiency for cloud-to-ground lightning is about 46%–69%. It is most likely slightly higher for intracloud lightning. There are only marginal day/night biases in the dataset, although 55- or 110-day averaging is required to remove the sampling-based diurnal lightning cycle bias.
Abstract
Two approaches are used to characterize how accurately the north Alabama Lightning Mapping Array (LMA) is able to locate lightning VHF sources in space and time. The first method uses a Monte Carlo computer simulation to estimate source retrieval errors. The simulation applies a VHF source retrieval algorithm that was recently developed at the NASA Marshall Space Flight Center (MSFC) and that is similar, but not identical to, the standard New Mexico Tech retrieval algorithm. The second method uses a purely theoretical technique (i.e., chi-squared Curvature Matrix Theory) to estimate retrieval errors. Both methods assume that the LMA system has an overall rms timing error of 50 ns, but all other possible errors (e.g., anomalous VHF noise sources) are neglected. The detailed spatial distributions of retrieval errors are provided. Even though the two methods are independent of one another, they nevertheless provide remarkably similar results. However, altitude error estimates derived from the two methods differ (the Monte Carlo result being taken as more accurate). Additionally, this study clarifies the mathematical retrieval process. In particular, the mathematical difference between the first-guess linear solution and the Marquardt-iterated solution is rigorously established thereby explaining why Marquardt iterations improve upon the linear solution.
Abstract
Two approaches are used to characterize how accurately the north Alabama Lightning Mapping Array (LMA) is able to locate lightning VHF sources in space and time. The first method uses a Monte Carlo computer simulation to estimate source retrieval errors. The simulation applies a VHF source retrieval algorithm that was recently developed at the NASA Marshall Space Flight Center (MSFC) and that is similar, but not identical to, the standard New Mexico Tech retrieval algorithm. The second method uses a purely theoretical technique (i.e., chi-squared Curvature Matrix Theory) to estimate retrieval errors. Both methods assume that the LMA system has an overall rms timing error of 50 ns, but all other possible errors (e.g., anomalous VHF noise sources) are neglected. The detailed spatial distributions of retrieval errors are provided. Even though the two methods are independent of one another, they nevertheless provide remarkably similar results. However, altitude error estimates derived from the two methods differ (the Monte Carlo result being taken as more accurate). Additionally, this study clarifies the mathematical retrieval process. In particular, the mathematical difference between the first-guess linear solution and the Marquardt-iterated solution is rigorously established thereby explaining why Marquardt iterations improve upon the linear solution.