but still, if we are talking about metallic nanoparticles, there will be a large number of charge carries in the surface.. So SPP formation is possible we can expect some light propagation also....
But I am talking about wave guide effects in the pure semiconducting nanowires (d
The fundamental mode of a cylindrical dielectric waveguide with infinite cladding is supported for all optical frequencies. This was analysed by Hondos and Debye (Ann. Physik vol 32, p 465, 1910), and in more recent texts such as Snyder & Love "Optical Waveguide Theory" (1983). With a high refractive index between the dielectric cylinder core and the surrounding medium, a vector field solution of Maxwell's equations must be used, rather than the scalar approximation usually applied to more conventional optical fibres.
For a 50 nm diameter lossless dielectric cylinder with refractive index 4, surrounded by air or vacuum (index 1) the normalised frequency V is approximately 1.2 for 500 nm light. This means that very little (a few percent or less) of the guided light is confined to the core. In a conventional silica glass fibre, transmitted power would be quite sensitive to perturbations such as bending of the fibre. I do not have direct experience of 50 nm semiconductor nanowires, so I cannot say if they would show the same sensitivity.