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Topics

Topics. History General framework Details Some results Topics of interest. E( w ), A( w ), J( x,t ) components phases separation of variables, convolution. Normalization, spectrum of secondaries Longitudinal Transverse Shower front. CROME n(z) and inclined showers

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Topics

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  1. D. Seckel, Univ. of Delaware

  2. Topics • History • General framework • Details • Some results • Topics of interest • E(w), A(w), J(x,t) • components • phases • separation of variables, convolution • Normalization, spectrum of secondaries • Longitudinal • Transverse • Shower front • CROME • n(z) and inclined showers • Proposal for fitting

  3. History • 2009/2010: ANITA – 16 hpol events • energy uncertain, models for lower f, reflection, geometry • Attempt semi-analytic model with n(z) • Apply to Haverah Park (Allan) • Apply to some LOPES events • Get lost on shower detail … pause • Resolve shower details • Compare to REAS-3. [Remove n(z), disable some terms] • Use for RASTA … pause • Add in non-REAS, n(z) features • Test higher freq - ANITA, CROME ?

  4. E and A General In-Ice

  5. Separation and Convolution

  6. Convolution over secondary energies

  7. Components of j

  8. Co-ordinates & Displacements

  9. Charge Excess and Dipole

  10. Transverse currents

  11. Terms in current

  12. Normalization • Scale to 1 PeV shower in-ice

  13. Spectrum of secondaries Shape is by eye to Fluka/Geant 100 GeV showers – not crazy, but could do better.

  14. Longitudinal Integral

  15. Effective emission height • At high freq, phase dominates over shower profile.

  16. Transverse profile • started with Gaussian profiles • tried to reproduce 50 yrs of work on shower physics • give up and use NKG • Integrate over secondary particle energy from 10 MeV – 100 GeV

  17. Shower Front • time delays taken from Lafebre, etal • Also scales with secondary energies

  18. Some results: A south pole shower

  19. Part of a rasta event

  20. overall event comparison

  21. 100 events … 74 antennas

  22. Adding in other terms

  23. CROME

  24. CROME-II

  25. Proposal to describe shower

  26. Summary • semi-analytic with B • components of radiation • phases to second order • shower profiles matter • scale with and integrate over secondary energy • tested against reas for south pole atm. • include additional terms (test against coreas …) • qualitative features of CROME simulation • propose vector E as intermediate for reconstruction

  27. Extra Slides

  28. “true” Cherenkov

  29. Phases to 2nd order in displacement

  30. CPU efficiency • 64 antenna test events … about 50 mins • in Mathematica on my laptop • estimate to compiled version ~1sec/antenna • This is with about 150 frequency points from 100 KHz to 3 GHz, sparsely sampled and interpolated for FFT. • Most time spent in longitudinal integrals

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