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A statistical framework for space‐based EUV ionospheric tomography
Author(s) -
Kamalabadi Farzad,
Karl William C.,
Semeter Joshua L.,
Cotton Daniel M.,
Cook Timothy A.,
Chakrabarti Supriya
Publication year - 1999
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1998rs900026
Subject(s) - extreme ultraviolet lithography , tomography , extreme ultraviolet , ionosphere , tomographic reconstruction , remote sensing , inverse problem , radiative transfer , physics , space weather , optics , context (archaeology) , computer science , mathematics , geology , meteorology , geophysics , mathematical analysis , laser , paleontology
We present a statistical reconstruction framework for space‐based extreme ultraviolet (EUV) ionospheric tomography. The EUV technique offers a means to invert the nighttime F region electron density on global scales from a single spaceborne spectrograph, using prominent optically thin emissions produced by radiative recombination of O + . Since the EUV technique does not rely on ground receivers to make the measurements, the observations do not suffer from limitations on the viewing angles. The EUV tomography is an ill‐conditioned inverse problem in the sense that its solution is sensitive to perturbations of the measured data. With large condition numbers of a typical projection matrix, simple least squares inversion techniques yield unacceptable results in the presence of noise. This reflects the fact that more degrees of freedom are being sought than are supported by the noisy data. To overcome this limitation, we cast the tomographic inverse problem in a stochastic framework and incorporate a statistical prior model. In doing so we also obtain measures of estimation uncertainty for the solutions. Through simulations, we demonstrate the applicability of these techniques in the context of a space mission designed for EUV ionospheric tomography, namely, the Tomographic Experiment Using Radiative Recombinative Ionospheric EUV and Radio Sources (TERRIERS). The simulations show promising results for EUV tomography as a viable ionospheric remote sensing technique.