Interpretation of parabolic arcs in pulsar secondary spectra

Details Interpretation of parabolic arcs in pulsar secondary spectra Interpretation of parabolic arcs in pulsar secondary spectra

2004-03-25

arxiv.org/abs/astro-ph/0403587v1

Astronomy and Astrophysics

Astrophysics

12 pages, 9 figures, submitted to MNRAS

Scientific paper

10.1111/j.1365-2966.2004.08159.x

Pulsar dynamic spectra sometimes show organised interference patterns; these patterns have been shown to have power spectra which often take the form of parabolic arcs, or sequences of inverted parabolic arclets whose apexes themselves follow a parabolic locus. Here we consider the interpretation of these arc and arclet features. We give a statistical formulation for the appearance of the power spectra, based on the stationary phase approximation to the Fresnel-Kirchoff integral. We present a simple analytic result for the power-spectrum expected in the case of highly elongated images, and a single-integral analytic formulation appropriate to the case of axisymmetric images. Our results are illustrated in both the ensemble-average and snapshot regimes. Highly anisotropic scattering appears to be an important ingredient in the formation of the observed arclets.

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