%0 Journal Article %T Influence of strong solar proton events on propagation of radio signals in the VLF range in a high-latitude region %A Akhmetov, O.I. %A Mingalev, I.V. %A Mingalev, O.V. %A Belahovskiy, V.B. %A Maurchev, E.A. %A Larchenko, A.V. %A Suvorova, Z.V. %A Balabin, Y.V. %K numerical modeling, radio wave propagation, ionosphere, high latitudes, GLE, VLF, RSDN-20, GDMI %J Solar-Terrestrial Physics %D 2023 %N 9 %P 12 %I INFRA-M Academic Publishing LLC.