On the Derivation of Booker's Quartic from Appleton-Hartree Equation.

Hillel Unz

Expert InsightsPublished 1965

Presentation of a simple method for the derivation of the Booker's quartic equation for oblique incidence of electromagnetic waves in the magneto-ionic theory of ionospheric propagation. By using tensor analysis methods it is shown that the magnitude of a vector and the dot product of two vectors are invariant under the transformation of the coordinate system. Using those results the Booker's quartic equation is derived directly in a simpler manner from the Appleton-Hartree equation, using rotation transformation of the rectangular coordinate system. 12 pp. Bibliog.

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Unz, Hillel, On the Derivation of Booker's Quartic from Appleton-Hartree Equation. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/papers/P3222.html.
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