The Derivation of a Model Solar Chromosphere from Radio Data

Physics

Scientific paper

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Scientific paper

An empirical relationship between the equivalent black-body temperature of the sun's disk and the radio-frequency is derived from experimental results. The formula is applicable for frequencies between about 600 and 24,000 Mc./sec. An expression for the absorption coefficient of radio waves in the solar atmosphere is developed so that, by Kirchhoff's principle, it is possible to determine the emission from each level and hence the overall emission in terms of known or assumed conditions. The coronal and chromospheric components of radiation are separated and their distributions over the solar disk are determined theoretically. The conclusions are compared with experimental results and found to be in sufficiently good agreement for the present purposes. From the reduced radio data an equation is derived relating the optical depth of a given level in the chromosphere with electron temperature at that level. Optical depth may be expressed as a function of electron temperature and density so that the equation may be used to check the validity of any proposed model chromosphere. By combining the radio results with optical data in the form of intensities of spectrum lines at various levels a determination of electron density and temperature over a range of levels from about 5000 to 15,000 km. is made. The radio results are difficult to reconcile with Redman's estimate of an electron temperature of 30,000 degrees K at 1500 km. A marked departure from conditions of hydrostatic equilibrium is indicated.

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