The method of transient field calculation for large aperture antennas is proposed. It is shown that in the time domain, the calculation of the transient field is relatively simple for all points in the half-space in front of the aperture. The basic properties of the transient field are discussed.Index Terms-Aperture antennas, broad-band antennas, transient analysis.
We study projective and Reedy model category structures for bimodules and infinitesimal bimodules over a topological operad. In both cases, we build explicit cofibrant and fibrant replacements. We show that these categories are right proper and under some conditions left proper. We study the Extension/Restriction adjunctions. We give also a characterisation of Reedy cofibrations and we check that the two model structures produce compatible homotopy categories. In the case of bimodules the homotopy category induced by the Reedy model structure is a subcategory of the projective one. In the case of infinitesimal bimodules the Reedy and projective homotopy categories are the same.
We study a connection between mapping spaces of bimodules and of infinitesimal bimodules over an operad. As main application and motivation of our work, we produce an explicit delooping of the manifold calculus tower associated to the space of smooth maps D m → D n of discs, n ≥ m, avoiding any given multisingularity and coinciding with the standard inclusion near the boundary ∂D m . In particular, we give a new proof of the delooping of the space of disc embeddings in terms of little discs operads maps with the advantage that it can be applied to more general mapping spaces.
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