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The pulsed radiation from the Crab pulsar consists of the main pulse (MP) andinter pulse (IP), as well as of the extra pulse components appearing at certainfrequencies. It has been studied at many frequencies and contains uniqueinformation, which is not available for the majority of the pulsars. One of themysteries of these data, found by Moffett and Hankins twenty years ago, is theshift of the IP at high radio frequencies compared to lower ones and return toits previous position in the more high-frequency optical and X-ray range. Wepropose the explanation of these mysterious changes with the frequency throughreflection of radiation by relativistic positrons from the star surface. Themagnetic field of the pulsar in the pole must be inclined to the surface of thestar and affects on the discussed processes. The positrons, which areaccelerated towards the surface of the star by the inner gap electric field,radiate as half-bare particles. The spectral-angular properties of thisradiation differ from those ones of the electron curvature radiation inside thegap.

'Half-bare' positron in the inner gap of a pulsar and shift of inter pulse position