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In this letter, a planar array of centered longitudinal slots fed by a single wiggly-ridge waveguide is designed, constructed, and tested. The design procedure of the array is based on the relationship between the backward- and the forward-scattered dominant-mode coefficients and slot voltage, which is derived using an available electromagnetic field simulator. Two main design equations for longitudinal slot-array antennas fed by hollow rectangular waveguide are modified for the longitudinal slot array fed by the wiggly-ridge waveguide. The simulation and the measurement results of the designed array meet the design specifications and verify the proposed design method.