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A theory for the averaged optical characteristics of an ensemble of metal nanoparticles with different shapes has been developed. The theory is applicable both for the nanoparticle size at which the optical conductivity of the particle is a scalar and for the nanoparticle size at which the optical conductivity should be considered as a tensor. The averaged characteristics were obtained taking into account the influence of nanoparticle shape on the depolarization coefficient and the components of the optical conductivity tensor. The dependences of magnetic absorption by a spheroidal metal nanoparticle on the ratio between its curvature radii and the angle between the spheroid symmetry axis and the magnetic field vector were derived and theoretically considered. An original variant of the distribution function for nanoparticle shapes, which is based on the combined application of the Gaussian and “hat” functions, was proposed and analyzed.
The fabrication of nanodevices and nanosystems having dimensions smaller than 100 nm requires the ability to produce, control, manipulate, and modify structures at the nanometer scale. Physical and chemical nanolithography techniques have been demonstrated to be promising because of the low cost and high throughput. Although the physical and chemical nanolithography techniques can pattern small features on single chips or across an entire wafer, there are considerable challenges when dealing with complex nanostructures, alignment and multilevel stacks. In this paper, the problems are reviewed and potential solutions suggested.