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Appleton–Hartree equation : ウィキペディア英語版
Appleton–Hartree equation
The Appleton–Hartree equation, sometimes also referred to as the Appleton–Lassen equation is a mathematical expression that describes the refractive index for electromagnetic wave propagation in a cold magnetized plasma. The Appleton–Hartree equation was developed independently by several different scientists, including Edward Victor Appleton, Douglas Hartree and German radio physicist H. K. Lassen.〔Lassen, H., ''I. Zeitschrift für Hochfrequenztechnik'', 1926. Volume 28, pp. 109–113〕 Lassen's work, completed two years prior to Appleton and five years prior to Hartree, included a more thorough treatment of collisional plasma; but, published only in German, it has not been widely read in the English speaking world of radio physics.〔C. Altman, K. Suchy. ''Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics – Developments in Electromagnetic Theory and Application''. Pp 13–15. Kluwer Academic Publishers, 1991. Also available online, (Google Books Scan )〕
==Equation==
The dispersion relation can be written as an expression for the frequency (squared), but it is also common to write it as an expression for the index of refraction n^2 = \left(\frac\right)^2 .

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