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Diffraction by multiple edges are of interest for mobile radio. In this paper, the near-field scattering of an array of parallel conducting strips was computed, using an incident transverse magnetic (TM) plane wave. Finite and infinite periodic arrays were compared. The electric field integral equation together with the method of moments was employed to solve the problem; the infinite case used Floquet modes. The effect of the incidence angle on the field between strips was investigated. Comparison of results with our previous work on the transverse electric (TE) case has allowed us to observe the influence of polarization. For grazing incidence angles, it is shown that the field strength of the TM case is much weaker than the TE case. Good agreement between the finite and infinite cases is possible, even when the number of strips N is only moderately large. The infinite array uses Floquet modes and is computationally more efficient.