The Abel inversion is a straightforward tool to retrieve high-resolution vertical profiles of electron density from GPS radio occultations gathered by low earth orbiters (LEO). Nevertheless, the classical approach of this technique is limited by the assumption that the electron density in the vicinity of the occultation depends only on height (i.e., spherical symmetry), which is not realistic particularly in low-latitude regions or during ionospheric storms. Moreover, with the advent of recent satellite missions with orbits placed around 400 km (such as CHAMP satellite), an additional issue has to be dealt with: the treatment of the electron content above the satellite orbits. This paper extends the performance study of a method, proposed by the authors in previous works, which tackles both problems using an assumption of electron-density separability between the vertical total electron content and a shape function. This allows introducing horizontal information into the classic Abel inversion. Moreover, using both positive and negative elevation data makes it feasible to take into account the electron content above the LEO as well. Different data sets involving different periods of the solar cycle, periods of the day and satellites are studied in this work, confirming the benefits of this improved Abel transform approach.
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Bilitza D (1990) International Reference Ionosphere 1990. URSI/COSPAR, NSSDC/WDC-A-R¥ & S 90–22
Dudeney JR (1983) The accuracy of simple methods for determining the height of the maximum electron concentration of the F2 layer from scaled ionospheric characteristics. J Atmos Terr Phys 45:629
Garcia-Fernandez M, Hernandez-Pajares M, Juan JM, Sanz J (2003) Improvement of ionospheric electron density estimation with GPSMET occultation using Abel inversion and VTEC information. J Geophys Res Space Phys 108(A9):1338
Garcia-Fernandez M, Aragon A, Hernandez-Pajares M, Juan JM, Sanz J (2004) Ionospheric tomography with GPS data from CHAMP and SAC-C. In: Proceedings of the 2nd CHAMP Science Meeting (in press)
Hajj GA, Romans L (1998) Ionospheric electron density profiles obtained with the Global Positioning System: results from the GPS/MET experiment. Radio Sci 33(1):175–190
Hajj GA, Lee LC, Pi X, Romans LJ, Schreiner WS, Straus PR, Wang C (2000) COSMIC GPS ionospheric sensing and space weather. Terr Atmos Oceanic Sci 11:235–272
Hardy K, Hajj GA, Kursinski E, Ibañez-Meier R (1993) Accuracies of atmospheric profiles obtained from GPS occultations. In: Proceedings of the ION GPS-93 conference, pp 1545–1556
Hernandez-Pajares M, Juan JM, Sanz J (2000) Improving the Abel inversion by adding ground data to LEO radio occultations in the ionospheric sounding. Geogr Res Lett 27(16):2743–2746
Rishbeth H, Sedgemeore-Schulthess KFG, Ulich T (2000) Semiannual and annual variations in the height of the ionospheric F2-peak. Ann Geophys 18:185–299
Schreiner W, Hunt DC, Rocken C, Sokolovskiy S (1998) Precise GPS data processing for the GPSMET radio occultation mission at UCAR. In: Proceedings of the Institute of Navigation/Navigation 2000, Alexandria, Virginia, pp 103–112
Schreiner W, Sokolovskiy S, Rocken C, Hunt D (1999) Analysis and validation of GPS/MET radio occultation data in the ionosphere. Radio Sci 34(4):949–966
Syndergaard S (2002) A new algorithm for retrieving GPS radio occultation total electron content. Geophys Res Lett 29(16):1808
Titheridge JE (1998) The real height analysis of ionograms: a generalized formulation. Radio Sci 23:831–849
Zhang SR, Fukao S, Oliver WL, Otsuka Y (1999) The height of the maximum ionospheric electron density over the MU radar. J Atmos Solar Terr Phys 61:1367–1383
We acknowledge to UCAR in Colorado, ISDC in GeoForschungsZentrum and Prof. Victor Rios of the Universidad de Tucuman, Argentina, for the GPSMET, CHAMP and SAC-C data, respectively. Data from Taiwan ionosonde was provided by Prof. Yuei-An Liou of the Center for Space and Remote Sensing Research Institute, Taiwan. The global TEC maps have been retrieved from the International GPS Service. Ionosonde parameters have been extracted from SPIDR web server. This work has been partially supported by “Generalitat de Catalunya” with scholarship 2000FI-00395 and projects TIC-2000-0104-P4-03 and TIC-2001-2356-C02-02.
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Garcia-Fernandez, M., Hernandez-Pajares, M., Juan, J.M. et al. Performance of the improved Abel transform to estimate electron density profiles from GPS occultation data. GPS Solut 9, 105–110 (2005). https://doi.org/10.1007/s10291-005-0139-5
- Shape Function
- Electron Content
- Radio Occultation
- Slab Thickness
- Vertical Total Electron Content