Optical electronics would make it possible to create faster computer processors, construct nano-scale antennas or build more information-dense data- storage devices. Optical electronics could also have exotic applications that simply are not possible with conventional electronics, such as the ability to couple an electronic signal to an individual molecule or the creation of biological circuits. The wavelength of light can be measured in hundreds of nanometers and the technology is now available to create structures that would operate on the same or smaller scale as the wavelength of light, N. Engheta,et. al demonstrated that nano-sized sphere made up of a nonmetallic material such as glass with permittivity greater than zero would act like a miniaturized capacitor. A nano-sized sphere made up of a metallic material such as gold or silver with a permittivity less than zero would act like a miniaturized inductor. Either material could also function like a miniaturized resistor, depending on how the optical energy is lost in it.
The purpose of the present paper is to study an improved mixing rule for the effective permittivity of a composite material consisting of two sets of N plasmonic and N non-plasmonic spheres in a homogeneous background of nano-particles as nano-circuit elements.
The effective permittivity and permeability can be calculated using effective medium models if the wavelength outside spheres is large compared to sphere diameters and the polarizability of spheres is known.
Possible applications would include direct processing of optical signals with nano-antennas, nano-circuit-filters, nano-resonators, and even nano-scaled negative-index optical structures.
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