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

Abstract

The radio pulse from a pulsar can be temporally broadened by multipath scattering in the interstellar medium and by instrumental effects within the radio telescope. The observed pulse shape is a convolution of the intrinsic one with the impulse responses of the scattering medium and instrumentation. Until recently, common methods used to model the observed shape make assumptions regarding the intrinsic pulse shape and impulse responses, compute the convolution numerically, and solve for the pulse width and scattering timescale iteratively. An analytical solution is shown to exist for the specific case of the temporal broadening of a Gaussian-shaped pulse by a thin scattering screen. The solution is applied to multi-frequency observations of PSR B1834-10 to characterize the frequency dependence of its intrinsic pulse width and scattering timescale.

14 pages, 2 figures, accepted for publication in PASP

References in corpus (1)

• Cyclic Spectral Analysis of Radio Pulsars

Cited by in corpus (21)

• The First CHIME/FRB Fast Radio Burst Catalog
• Nine New Repeating Fast Radio Burst Sources from CHIME/FRB
• Fast Radio Burst Morphology in the First CHIME/FRB Catalog
• Detection of Repeating FRB 180916.J0158+65 Down to Frequencies of 300 MHz
• Sub-second periodicity in a fast radio burst
• Pulse Morphology of the Galactic Center Magnetar PSR J1745-2900
• Comprehensive analysis of a dense sample of FRB 121102 bursts
• Temporal variations in scattering and dispersion measure in the Crab Pulsar and their effect on timing precision
• A detailed study of giant pulses from PSR B1937+21 using the Large European Array for Pulsars
• A sample of Fast Radio Bursts discovered and localised with MeerTRAP at the MeerKAT telescope
• First Discovery of a Fast Radio Burst at 350 MHz by the GBNCC Survey
• A Pilot Study of Nulling in 22 Pulsars Using Mixture Modeling
• Scattering features and variability of the Crab pulsar
• CHIME Discovery of a Binary Pulsar with a Massive Non-Degenerate Companion
• The Northern Cross Fast Radio Burst project - II. Monitoring of repeating FRB 20180916B, 20181030A, 20200120E and 20201124A
• Low-frequency, wideband study of an active repeater, FRB 20240114A, with the GMRT
• A Spatial Gap in the Sky Distribution of Fast Radio Burst Detections Coinciding with Galactic Plasma Overdensities
• Exponential Fluctuations in the Modes of Orthogonal Polarization in Pulsar Radio Emission
• An unidentified Fermi source emitting radio bursts in the Galactic bulge
• Single Pulse Dispersion Measure of the Crab Pulsar
• Evidence of the association of repeating fast-radio-burst sources with fast-spinning super-twisted magnetars