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A new mechanism of radiation emission in the polar gap of a pulsar is proposed. It is based on the curvature radiation which is emitted by positrons moving toward the surface of the neutron star along magnetic field lines and it reflects from the surface (Fig. 1, right). It is shown that the proposed mechanism may be applicable for explanation of the mystery of the interpulse shift in the Crab pulsar at high frequencies discovered by Moffett and Hankins [1] twenty years ago (for a recent confirmation, see [2]). We also took into account the coherence of positron curvature radiation and calculated the spectrum which coincides with the observed one. The high-frequency components, appearing at the same frequencies as the interpulse shift, can be naturally explained by a nonlinear reflection (stimulated scattering) of radiation produced by returning positrons [4].

1. Moffett, D. A., & Hankins, T. H. 1996, ApJ, 468, 779
2. Hankins, T. H., Jones, G., & Eilek, J. A. 2015, ApJ, 802, 130
3. Kontorovich, V. M., & Trofymenko, S. V. 2016, arXiv:1606.02966
4. Kontorovich, V. M. 2016, Low Temperature Physics, 42, 672; arXiv:1701.02302.