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Theoretical expressions are derived for the effects of mutual coupling between two parallel leaky wave antennas located in an infinite plane. The leaky wave antennas treated are slitted rectangular waveguides, the propagation constants of which are modified by the coupling. It is shown that the attenuation constants are influenced significantly but that the phase constants are changed only slightly, so that the coupling is different from that between neighboring surface wave lines. The nature of the coupling effects are illustrated by numerical calculations.