Strong scintillations in astrophysics. I - The Markov approximation, its validity and application to angular broadening

Details Strong scintillations in astrophysics. I - The Markov approximation, its validity and application to angular broadening Strong scintillations in astrophysics. I - The Markov approximation, its validity and application to angular broadening

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...196..695l&link_type=abstract

Astrophysical Journal, vol. 196, Mar. 15, 1975, pt. 1, p. 695-707.

Astronomy and Astrophysics

Astrophysics

74

Astrophysics, Interstellar Extinction, Pulsars, Radio Astronomy, Scintillation, Cosmic Plasma, Markov Processes, Plasma Turbulence, Wave Propagation

Scientific paper

The Markov approximation to the propagation of waves in an extended, irregular medium is discussed in an astrophysical context. A new derivation is presented which is simple and which shows that the assumption of Gaussian statistics used by previous authors is irrelevant. We discuss the relevance of the approximation and show that it may apply in many situations of interest, including interstellar scintillations of pulsar signals. The approximation does not require the assumption of weak scattering or Gaussian correlation functions. The Markov equation for the angular spectrum is particularly simple, and solutions are discussed for typical turbulence spectra. It is found that the equation for the angular spectrum is very nearly that used by previous authors, and the present discussion shows that these results are much more general than previously thought. A possible observational test for distinguishing between Gaussian and power-law interstellar density spectra is discussed.

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