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Radio detection of inclined air showers currently receives special attention.It can be performed with very sparse antenna arrays and yields a puremeasurement of the electromagnetic air-shower component, thus deliveringinformation that is highly complementary to the measurement of the muoniccomponent using particle detectors. However, radio-based reconstruction ofinclined air showers is challenging in light of asymmetries induced in theradio-signal distribution by early-late effects as well as the superposition ofgeomagnetic and charge-excess radiation. We present a model for the signaldistribution of radio emission from inclined air showers which allows explicitcompensation of these asymmetries. In a first step, geometrical early-lateasymmetries are removed. Secondly, a universal parameterization of thecharge-excess fraction as a function of the air-shower geometry, theatmospheric density profile and the lateral distance from the shower axis isused to compensate for the charge-excess contribution to the signal. Theresulting signal distribution of the pure geomagnetic emission is then fit witha rotationally symmetric lateral distribution function, the area integration ofwhich yields the radiation energy as an estimator for the cosmic-ray energy. Wepresent the details and performance of our model, which lays the foundation forrobust and precise reconstruction of inclined air showers from radiomeasurements.

Symmetrizing the signal distribution of radio emission from inclined air showers