This work systematically evaluates the effect of array periodicity on the near infrared transmission characteristics of annular aperture arrays (AAAs) in gold films. Both the experimental and theoretical transmission spectra of AAAs are shown to be sensitive to the period and the arrangement of the apertures within the array. The spectra of square arrays with periods ranging from 1400 to 600 nm show a strong correlation with surface plasmon polariton (SPP)-Bloch modes of the metal/dielectric interfaces. For rectangular AAAs the transmission spectra are significantly attenuated and reveal a polarization sensitivity that arises from the breaking of the symmetry and degeneracy of the SPP-Bloch modes.

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It was not possible to assign the ±(1,0) Au/air SPP-Bloch modes, which for all AAA periods are 50nm to the blue of the ±(1,1) Au/quartz modes. Because the FWHM for the transmission peaks is >150nm, it may be that both modes contribute to the transmission in Fig. 2(b).
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λSPP(i,j)=PxPy/(Px2i2+Py2j2)1/2[εdεm/(εd+εm)]1/2 is the analogous expression for SPP-Bloch modes when the period is unique along the x- and y-axes. Px and Py denote the periods along the x- and y-axes.

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