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Understanding RF Pulses and Shower Profiles from Particles: Integration and Scaling Factors

This study explores RF pulse generation from showers caused by single particles, detailing the integrative approach over particle showers and emphasizing the density of excess projected track lengths. We discuss a variety of scaling models, including Gaussian, and highlight key parameters, including phase factors and form factors critical for Monte Carlo simulations. The paper also investigates the effects of high-frequency phases and attenuation on shower profiles, incorporating the Landau-Pomeranchuk-Migdal (LPM) effect and suggesting methodologies for improved shower profile approximation through acoustic methods.

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Understanding RF Pulses and Shower Profiles from Particles: Integration and Scaling Factors

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Presentation Transcript

  1. D. Seckel, Univ. of Delaware

  2. Topics • RF pulses from Showers

  3. Radiation from single particles ZHS: 2 0.5

  4. Sum over particles/Integrate over shower Shower Front + Light Cone Density of Excess Projected Track Length

  5. Separation of Variables & Form Factor

  6. Phase Factors and Rescaling FF Most MC’s use this

  7. Normalization and Determination of f, Gy, Gz

  8. AVZ, ZHS, (G4 later) AVZ Use a Gaussian, and give the half-width of the Cerenkov cone at 1 GHz as 3.72 ° for a 1 PeV (3.1 m) shower. Determine Gz as FT of gaussian

  9. Scaling vs AVZ Field calculation is integral over shower profile • Adapted from Alvarez, Vazquez, Zas • “Full sim” is approx a • Blue – Gaussian for f(z), AVZ approx c for Gy • Red – Griessen for f(z) Separation of shower profile Separation of phase factors Separation of form factors With scaled frequencies

  10. High frequency

  11. Phases

  12. Scaling with energy and type

  13. Scaling with medium AVZ scaled G4

  14. Scaling behavior Single particle & shower signals Includes LPM effect to observer qc fractional excess y z

  15. Pulse shapes

  16. Scaling model w/Shahid’s G4 10 TeV shower

  17. Multiple showers

  18. Fluctuations

  19. Better shower profiles?

  20. Acoustic (in progress) • Same as radio except • scalar vs vector • total track length • v/c is smaller • attenuation • experiment bandwidth

  21. Summary

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