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The time-dependent boundary integral equation is discretized with Runge\u2013Kutta based convolution quadrature in time and Raviart\u2013Thomas boundary elements in space. Using the frequency-explicit bounds from the well-posedness analysis given here together with known approximation properties of the numerical methods, the full discretization is proved to be stable and convergent, with explicitly given rates in the case of sufficient regularity. Taking the same Runge\u2013Kutta based convolution quadrature for discretizing the time-dependent representation formulas, the optimal order of convergence is obtained away from the scattering boundary, whereas an order reduction occurs close to the boundary. The theoretical results are illustrated by numerical experiments.<\/jats:p>","DOI":"10.1007\/s00211-022-01277-0","type":"journal-article","created":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T11:02:42Z","timestamp":1648465362000},"page":"1123-1164","update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Time-dependent electromagnetic scattering from thin layers"],"prefix":"10.1007","volume":"150","author":[{"given":"J\u00f6rg","family":"Nick","sequence":"first","affiliation":[]},{"given":"Bal\u00e1zs","family":"Kov\u00e1cs","sequence":"additional","affiliation":[]},{"given":"Christian","family":"Lubich","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,27]]},"reference":[{"issue":"1","key":"1277_CR1","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/BF02567511","volume":"89","author":"A Alonso","year":"1996","unstructured":"Alonso, A., Valli, A.: Some remarks on the characterization of the space of tangential traces of $$H ({\\rm rot}; \\Omega )$$ and the construction of an extension operator. 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