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A traveling waveguide array with 108 narrow-wall slots is analyzed using the parallel method of moments with higher-order polynomial basis functions on a distributed memory cluster. The concept of the perfectly matched layer in differential-equation methods is introduced to design the matched load terminating the waveguide. The simulated data is compared with the commercial software - ANSYS HFSS's result to validate the proposed method. The results demonstrate that the parallel method of moments is able to accurately and efficiently solve complex electromagnetic radiation problems.