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Inverse Problem of SR

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Schumann Resonance for Tyros

Part of the book series: Springer Geophysics ((SPRINGERGEOPHYS))

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Abstract

This chapter describes the inverse electromagnetic problems in the ELF band. In a usual, direct problem, the fields are found for the particular source (or source distribution) in the Earth–ionosphere cavity with definite boundary conditions. Inverse problems exploit the observed electromagnetic fields as initial information and derive the temporal variations of the source intensity, the unknown source distribution, or propagation conditions. We already considered the prevalent inverse problem in Chap. 5. We also treated the inverse problem linked to an ELF transient in Chap. 9. Here, we concentrate on obtaining accurate temporal and spatial properties of lightning sources responsible for the background signal. Initially, we discuss the shortcomings of traditional measurements of the source dynamics and apply a more progressive technique that separates the universal and local time factors involved in the SR records. For this purpose, we use the simultaneous records at three widely separated points. This allowed us to obtain estimates of the diurnal-seasonal variations of the global thunderstorm intensity on the three-year span. The simultaneously obtained local time factors characterize the movement of sources around the globe. The formally rigorous approach is addressed then, which exploits the Tikhonov technique of tomographic reconstruction. Monitoring data of three globally allocated SR observatories are used as the distance projections, and relevant space–time source distributions are obtained. Details of this procedure are discussed, and the output data are compared with the optical observations from space.

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Authors and Affiliations

  1. National Academy of Sciences of the Ukraine, Kharkov, Ukraine

    Alexander Nickolaenko

  2. The University of Electro-Communications, Tokyo, Japan

    Masashi Hayakawa

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  1. Alexander Nickolaenko
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  2. Masashi Hayakawa
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Correspondence to Alexander Nickolaenko .

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Nickolaenko, A., Hayakawa, M. (2014). Inverse Problem of SR. In: Schumann Resonance for Tyros. Springer Geophysics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54358-9_10

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