Optical devices including deterministic aperiodic patterning using spiral arrays exhibit circular symmetry in continuous Fourier space via polarization-insensitive planar diffraction. Far-field diffractive coupling in these structures leads to the formation of scattering resonances with circular symmetry and characteristic vortex behavior carrying orbital angular momentum. Plasmonic nanoparticle arrays with aperiodic spiral geometry can be used in fabrication of optical devices that benefit from polarization insensitive, enhanced light-matter coupling on planar surfaces, such as thin-film solar cells (enhanced light absorption and efficiency), photodetectors (enhanced light emission and efficiency), optical biosensors, and polarization devices.