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The radio pulse from a pulsar can be temporally broadened by multipathscattering in the interstellar medium and by instrumental effects within theradio telescope. The observed pulse shape is a convolution of the intrinsic onewith the impulse responses of the scattering medium and instrumentation. Untilrecently, common methods used to model the observed shape make assumptionsregarding the intrinsic pulse shape and impulse responses, compute theconvolution numerically, and solve for the pulse width and scattering timescaleiteratively. An analytical solution is shown to exist for the specific case ofthe temporal broadening of a Gaussian-shaped pulse by a thin scattering screen.The solution is applied to multi-frequency observations of PSR B1834-10 tocharacterize the frequency dependence of its intrinsic pulse width andscattering timescale.

publications of the astronomical society of the pacific

The Analytical Solution to the Temporal Broadening of a Gaussian-Shaped  Radio Pulse by Multipath Scattering from a Thin Screen in the Interstellar  Medium