We analyze one-dimensional nonuniform arrays of square resonators with a size of . This choice of resonator size is motivated by a combination of factors such as size that gives a relatively small number of intrinsic modes, is compatible with current fabrication processes, and can deliver a reasonable amount of power without occupying a large area. In these arrays we initially change the separation between adjacent resonators by using standard functions used in specifying filter responses in the frequency domain such as binomial functions Chebyshev polynomials. We show that interesting spectral properties may appear when these functions are used. Next, we change one of the characteristic dimensions of the square resonator in a prescribed manner across the array and analyze the effect of the changes on the spectral characteristics of the arrays. In all cases, the arrays form light sources that couple light into a single-mode waveguide and their spectral characteristics are obtained after coupling into the waveguide.
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