A reinvestigation of the redistribution functions R/III/ and R/IV/

Mathematics – Probability

Scientific paper

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Atomic Spectra, Distribution Functions, Line Spectra, Quantum Mechanics, Scattering Functions, Angular Distribution, Atomic Energy Levels, Electromagnetic Absorption, Frequency Response, Linear Equations, Probability Distribution Functions

Scientific paper

The behavior of the Hummer partial redistribution function R(III) as a function of the scattering angle and incoming and outgoing frequencies is investigated. It is found that, when scattering angle tends to 0 or pi, the photons do not scatter coherently, as was implied by Reichel and Vardavas (1975), but are partially redistributed in frequency. A quantum-mechanically consistent counterpart to R(IV) is derived. The form of the redistribution function is more complicated, and its behavior as a function of scattering angle and incoming and outgoing frequencies is discussed.

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