A leaky wave antenna has electrically conductive surfaces in parallel to each other. At one place a two-dimensional array of slots is provided in one of the surfaces. Elsewhere a feed structure is realized comprising one or more electrically conductive elements coupled between the first and second electrically conductive surface and configured to direct an electromagnetic wave pattern travelling between surfaces towards the array. In an embodiment the feed structure comprises a waveguide formed between walls connecting the surfaces. One of the walls is made to leak in order to feed the array of slots. In an embodiment the feed structure comprises a reflector comprising connections between the surfaces, to direct waves between the surfaces to the array of slots.