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Observations of coronal waves (CWs) interacting with coronal holes (CHs) showthe formation of typical wave-like features, such as reflected, refracted andtransmitted waves (collectively, secondary waves). In accordance with theseobservations, numerical evidence for the wave characteristics of CWs is givenby simulations which demonstrate effects of deflection and reflection when a CWinteracts with regions exhibiting a sudden density drop, such as CHs. However,secondary waves are usually weak in their signal and simulations are limited inthe way the according idealisations have to be chosen. Hence, severalproperties of the secondary waves during a CW-CH interaction are unclear orambiguous and might lead to misinterpretations. In this study we follow atheoretical approach and focus in particular on the geometrical properties ofsecondary waves caused by the interaction between oblique incoming CWs and CHs.Based on a linear theory, we derive analytical expressions for reflection andtransmission coefficients, which tell us how strongly the amplitudes of thesecondary waves increase and decrease with respect to the incoming wave,respectively. Additionally, we provide analytical terms for crucial incidenceangles that are capable of giving information about the energy flux, the phaseand the reflection properties of the secondary waves. These novel expressionsprovide a supplementary tool for estimating CW properties in a fast andstraightforward way and, therefore, might have relevant consequences for apossible new interpretation of already studied CW-CH interaction events and theclarification of ambiguous observational data.

Geometrical properties of the interaction between oblique incoming coronal waves and coronal holes