The effects of small-angle scattering on a pulse of radiation with an application of X-ray bursts and interstellar dust

Details The effects of small-angle scattering on a pulse of radiation with an application of X-ray bursts and interstellar dust The effects of small-angle scattering on a pulse of radiation with an application of X-ray bursts and interstellar dust

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...222..456a&link_type=abstract

Astrophysical Journal, Part 1, vol. 222, June 1, 1978, p. 456-470.

Mathematics

Probability

44

Cosmic Dust, Interstellar Matter, Scatter Propagation, X Ray Scattering, X Ray Sources, Cosmic X Rays, Photon Density, Probability Density Functions, Satellite Observation

Scientific paper

The general problem of the propagation of a pulse of radiation through a uniform medium containing small-angle scatterers is considered. Simple expressions for the first moment of the arrival time delay and for the second and fourth moments of the arrival angle of the pulse photons are given that are valid for any optical depth. Using the first two of these, simple method of distance determination is established. Joint and individual distribution functions for arrival time and angle are derived in the small and large optical depth limits. An exponential tail in the arrival-time distribution is characteristic in both limits. The analysis has been applied to a burst of X-rays from a source near the galactic center propagating through the dust of the interstellar medium. The grains responsible for interstellar reddening can have very little observable effect. However, the observed lengths, energy dependence, and variability of the burst tails can be readily accounted for by a population of large (3 micrometer) grains. Constraints on the grain distribution are derived from observations of the burst tails.

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