Pulse profiles of millisecond pulsars and their Fourier amplitudes

Abstract

Approximate analytical formulae are derived for the pulse profile produced by small hot spots on a rapidly rotating neutron star. Its Fourier amplitudes and phases are calculated. The proposed formalism takes into account gravitational bending of light, Doppler effect, anisotropy of emission, and time delays. Its accuracy is checked with exact numerical calculations.

arXiv comment9 pages, 6 figures; replaced with the version published in MNRAS

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