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Distribution of the linear-fit slope on the shower plane for three simulated events with different values of D max . Slope values of the 160 antennas (open circles) used for the simulation procedure have been interpolated in order to create a smooth background.

Distribution of the linear-fit slope on the shower plane for three simulated events with different values of D max . Slope values of the 160 antennas (open circles) used for the simulation procedure have been interpolated in order to create a smooth background.

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The LOw Frequency ARay (LOFAR) is a multi-purpose radio antenna array aimed to detect radio signals in the frequency range 10 - 240 MHz, covering a largesurface in Northern Europe with a higher density in the Netherlands. Analytical calculations and simulation studies performed in the 2000s indicate a dependence of the radio frequency spectrum on c...

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... range. Analysis performed on simulated events shows that the slope measured in the 30 − 70 MHz range is on average approximately 0.003 ± 0.001 MHz −1 steeper than the slope measured in the 30 − 75 MHz range. The frequency spectrum depends also on the geometrical distance of the observer to X max (hereafter, D max ), as shown for simulations in Fig. (2). Moreover, as depicted in Fig. (3) at a given distance to the shower axis the linear-fit slope is correlated to D max by the following ...

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