The Multiple Images of the Plasma Lensing FRB

Abstract

We investigate the formation of multiple images as the radio signals from fast radio bursts (FRBs) pass through the plane of a plasma clump. The exponential model for the plasma clump is adopted to analyze the properties of the multiple images. By comparing with the classical dispersion relations, we find that one image has exhibited specific inverse properties to others, such as their delay times at high frequency is higher than that at low frequency, owing to the lensing effects of the plasma clump. We demonstrate that these inverse effects should be observable in some repeating FRBs. Our results predict deviation in the estimated DM across multiple images, consistent with the observations of FRB 121102 and FRB 180916.J0158+65. If other plasma lenses have effects similar to an exponential lens, we find that they should also give rise to the similar dispersion relation in the multiple images. For some repeating FRBs, analysis of the differences in time delay and in DM between multiple images at different frequencies can serve as a method to reveal the plasma distribution.

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• The effects of plasma on the magnification and time delay of strongly lensed fast radio bursts
• Bounding the Photon Mass with Ultrawide Bandwidth Pulsar Timing Data and Dedispersed Pulses of Fast Radio Bursts
• Statistical properties and lensing effect on the repeating fast radio burst FRB 180916.J0158+65
• Perturbative and numerical approach to plasma strong lensing
• Plasma lens with frequency-dependent dispersion measure effects on fast radio bursts