Complex analysis of Askaryan radiation: A fully analytic treatment including the LPM effect and Cascade Form Factor - ScienceDirect

Fig. 1. (a) Coordinate systems. Un-primed coordinates refer to the observer, and primed coordinates refer to the reference frame of the vector current. (b) The curves represent the total charge content, with the instantaneous charge density (ICD) shown by the internal curves, versus depth after the first interaction in the medium. The solid curves were made for shower energy 1014 eV and the dashed curves for a shower profile having been stretched by either the LPM effect, or simply by going to a higher energy. The Greisen model was used for the form of the cascade profile. The nmax parameter will refer to the negative charge excess. Fig. 2. The length of the neutrino-induced cascade, including the LPM effect, from ref. [42]. Fig. 3. Contours of 𝑒 ^ 𝜃 · 𝐸 ( 𝑡 ) , for a cascade energy of 1000 PeV. (a) R=1000 m, lateral ICD width of 5 cm. (b) R=1000 m, lateral ICD width of 10 cm. (c) R=200 m, lateral ICD width of 5 cm. (d) R=200 m, lateral ICD width of 10 cm. The LPM effect has been

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