Influence of Metal Nanoinclusions and the Surface on the Excitation Spectrum in the Photonic Crystal

The dispersive equation for one-dimensional photonic crystal excitations by an electromagnetic wave is derived using the method of the coupled waves. Fourier components of dielectric function are simulated for the photonic crystal taking into account its surface structure and the inclusions with negative dielectric permeability. A dependence of the surface pore hole size on diameter globules forming crystal structure is derived. Solutions of the dispersive equation for the unfilled and filled photonic crystals are studied. It is shown that multiple roots of the dispersive equation are absent in the former case. In the latter case metal nanoinclusions were introduced into the pores and the multiple roots which are turn points were found. Influence of inclusions with a diameter of 1...32 nanometers was analysed. The sizes of metal nanoinclusions depend on the sizes of the pores for the globular photonic crystal with the Bragg reflection maximum in the visible. Light absorption of such particles was considered.

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