An approximate form for the Chapman grazing incidence function

Details An approximate form for the Chapman grazing incidence function An approximate form for the Chapman grazing incidence function

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jatp...50..699t&link_type=abstract

Journal of Atmospheric and Terrestrial Physics (ISSN 0021-9169), vol. 50, Aug. 1988, p. 699-701.

Physics

Optics

6

Atmospheric Models, Earth Ionosphere, Grazing Incidence, Atmospheric Optics, F Region, Numerical Integration, Scale Height

Scientific paper

Numerical modeling of the ionosphere requires repeated evaluation of the Chapman function Ch(x, Chi). This normally involves a numerical integration of the Chapman expression. Approximate values can be obtained using accurate tables of the error function integral, but large numerical errors make this approach unusable for values of Chi less than about 80 deg. Algebraic expressions are obtained for the rapid, direct calculation of the Chapman function, at any zenith angle and for scale heights from 6 to 120 km. The maximum errors in this calculation correspond to an error of about 0.03 deg in the zenith angle, while the rms error is half this amount.

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