Gaussian beam techniques are efficient asymptotic methods for field radiation computation. In these techniques, the initial field is first expanded on a chosen surface in elementary Gaussian beams which can propagate and/or interact with surrounding structures. However, the expansion cannot take into account surface and leaky waves propagation. In this paper, we propose an appropriate hybridization method using surface equivalent currents to overcome this limitation. The equivalent current formulation is written on grounded dielectric slab in spectral domain and can model surface and leaky waves which propagate from the surface expansion. The hybridization is carried out on the expansion surface, on which the distribution of elementary Gaussian beams and equivalent currents must be chosen in a relevant way. We study the influence of hybridization parameters and define a set of them leading to good results for general cases.
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