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Published online by Cambridge University Press: 12 April 2016
If each significant component in a single pulse from a radio pulsar represents emission from a single site and the intensity at longitudes other than the peak arises from the forward beaming of this emission, the angular distribution of intensity within a component is given by (Zheleznyakov, & Shaposhnikov 1972),
Here, , with ν the velocity of the emitting particles at the emission site, α is the spectral index of emission in the rest frame of the emitting particles, and is also the spectral index as seen by the observer, ν is the observed frequency of the radiation. Kνα is the intensity in the rest frame of the emitting particles. ϕ0 is the angular co-ordinate corresponding to the direction of motion of the emitting particles, and ϕ is the angular co-ordinate at different regions in a single component.