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Figure 1:
Cutting off
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Figure 2: Smart trajectory sampling: the particle trajectory is sampled densely in the peak-region and only sparsely further outside. |
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Figure 3: The economic gridding mechanism: when new contributions are registered onto existing contributions, points are inserted and interpolated only as needed. |
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Figure 4: Time-dependence of the raw pulses originating from the shower maximum as observed by an observer at ( from left to right) 20 m, 140 m and 460 m to the north from the shower centre. |
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Figure 5: Spectra of pulses originating from the shower maximum for observers at ( from top to bottom) 20 m, 140 m, 340 m and 740 m distance to the north of the shower centre. |
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Figure 6: Comparison of the east-west component of a raw pulse (solid), a pulse smoothed with a 40-160 MHz idealised rectangle filter (long dashed) and a 42.5-77.5 MHz filter as used in LOPES (short dashed) for emission from the shower maximum. |
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Figure 7:
Total field strength of a pulse originating from a point source of 108 |
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Figure 8:
East-west polarisation component of a point-source with |
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Figure 9: Same as figure 8 at increasing distance to the east from the shower axis. |
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Figure 10: Individual particle pulses from a point-source shower as measured by an observer situated 995 m east of the shower centre. Solid: B=0.3 Gauss, dashed: B=0.5 Gauss. The time-integral over the pulses is constant. |
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Figure 11: Raw pulse from a shower slice calculated with different gridding strategies and resolutions. Solid with points: simple grid 10-9 s, solid black: simple grid 10-10 s, light coloured: economic grid 10-12 s. |
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Figure 12: Changes introduced by the smart sampling algorithm in the radial emission pattern of the rectangle-filtered maximum pulse amplitude for emission from the shower maximum. Thin lines: dense equidistant sampling, thick lines: smart sampling; solid: to the north, dashed: to the west. |
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Figure 13:
Changes introduced by the cutting off of regions outside a few
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Figure 14: Changes introduced to the radial emission pattern of the frequency-filtered maximum pulse amplitude for emission from the shower maximum by the automatic bin inactivation algorithm. Thin lines: no automatic bin inactivation, thick lines: automatic bin inactivation; solid: to the north, dashed: to the west. |
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Figure 15: Automatic ground-bin inactivation sequence. Darker bins are set inactive later than lighter bins. The sequence propagates from the inside to the outside. The pattern is east-west and north-south symmetric as expected for a vertical shower and a horizontal magnetic field. |
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Figure 16:
Radial dependence of the maximum rectangle-filtered pulse amplitude for emission from the shower maximum in the north (solid) and west (dashed) direction in case of constant and long particle trajectories (
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Figure 17:
Same as Fig. 16 for
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Figure 18: Time-dependence of the raw pulses originating from the shower maximum as observed by an observer at (from left to right) 460 m, 500 m, 540 m, 580 m and 620 m to the west from the shower centre. See text for explanation of the "polarity change''. |
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Figure 19: North (solid) vs. west (dashed) asymmetry in the maximum filtered pulse amplitude for emission from the shower maximum in case of statistically distributed track-lengths. The asymmetry is washed out up to high distances. |
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Figure 20:
Changes to the north (solid) and west (dashed) radial emission patterns for emission from the shower maximum when going from a 0.3 Gauss horizontal magnetic field (thin lines) to a 70 |
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Figure 21:
Contour plots of the 40-160 MHz rectangle-filtered maximum pulse amplitude for emission from the shower maximum in case of a horizontal 0.3 Gauss magnetic field ( upper panel) and a 70 |
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Figure 22:
Automatic ground-bin inactivation sequence in case of 70 |
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Figure 23:
Changes introduced when switching from monoenergetic
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Figure 24:
Pattern of the maximum filtered electric field amplitude (in |
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Figure 25:
Spectra emitted by the maximum of a 1017 eV vertical air shower consisting of 108 particles with
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Figure 26: Same as Fig. 25 but scaling down the analytic results by a factor of two. |
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Figure 27:
Radial dependence of the emission for the same scenario as in Fig. 25. Thin lines: analytic calculations of Huege & Falcke (2003) scaled down by a factor of two, thick lines: these MC simulations. Solid: |
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Figure 28:
Spectra emitted by the maximum of a 1017 eV vertical air shower consisting of 108 particles with broken power-law energy distribution at a height of 4 km, statistically distributed particle trajectories with 40 g cm-2 mean path length and 70 |
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Figure 29:
Radial dependence of the emission for the same scenario as in Fig. 28. Thin lines: analytic calculations of Huege & Falcke (2003) scaled down by a factor of two, thick lines: these MC simulations. Solid: |
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Figure 30:
Comparison of I(X) (solid) and N(X) (dashed) as a function of atmospheric depth X for a vertical 1017 eV shower with
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Figure 31: Trace of the trajectories in a complete 1017 eV air shower. |
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Figure 32:
Effects introduced in the radial dependence of the 40-160 MHz rectangle-filtered pulse amplitude by the integration over the shower evolution. Thick lines: integrated 1017 eV vertical shower with broken power-law particle energy distribution, statistical track length distribution with
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Figure 33: Pulses in the east-west polarisation component after 40-160 MHz rectangle-filtering for a shower as described in Fig. 32. Solid: in the shower centre, long dashed: 100 m to north of centre, short dashed: 260 m to north of centre. |
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Figure 34:
Contour plots of the 40-160 MHz rectangle-filtered pulse amplitude for the same scenario as described in Fig. 32. Contour levels are 20 |
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Figure 35:
Radial dependence of
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Figure 36: Comparison of the filtered radio pulse amplitude (solid) and the particle density as given by the NKG-parametrisation (dashed) as a function of radial distance from the shower centre. Values were normalised to unity at r=60 m. |
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Figure 37:
Spectra emitted by a complete 1017 eV vertical air shower with maximum at 4 km height, broken power-law particle energy distribution, statistically distributed particle trajectories with 40 g cm-2 mean path length and 70 |
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Figure 38:
Same as Fig. 37 but scaling down the analytic results by a factor of two. Data from Prah (1971) (gray) and Spencer (1969) (black) were rescaled to be consistent with the Allan (1971) data at |
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Figure 39:
Radial dependence of the emission at |
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