The Crab Nebula pulsar - Variability of dispersion and scattering

Previous investigations of the effects of interstellar dispersion and scattering on the waveform of the Crab Nebula pulsar (NP 0532) have indicated a two-screen scattering model with one variable screen and have revealed anomalously large phase residuals at 73.8 MHz. The relevant observational data are reanalyzed in order to bring the two-screen model into better agreement with theoretical models of the interstellar medium and to account for the low-frequency (73.8-MHz) phase anomaly. The wavenumber spectrum of electron-density fluctuations is examined along with its role in scattering models involving an extended medium, a thick screen, or a thin screen. A tenable unit impulse response is constructed for a thin screen, its Fourier transform is analyzed, and an attempt is made to obtain the dispersion measure and scattering constants for two screens. A comparison of the resulting pulse-broadening and delay effects with other theoretical predictions shows that all observed pulse-broadening and delay effects in NP 0532 are consistent with scattering by a single thick slab of plasma occupying no more than one quarter of the line of sight.