The strong localization of electromagnetic modes in high-Q/Vm (quality factor/modal volume) photonic crystal (PhC) nanocavities (NCs) makes them strong candidates for enhanced optical nonlinear effects, such as cavity quantum electrodynamics (QED) phenomena. These applications require precise control of cavity resonances mode. The cavity resonance is strongly depending on the lattice constant, a, and the air-hole radius, r, of photonic crystals. Slight modifications in the geometries of the photonic crystals will result in large differences in the dispersion characteristics. In this paper, by using BandSOLVE and FullWAVE software of RSoft Photonics CAD package, at first L1, L3 and L5 NCs in a semiconductor slab have been simulated in a hexagonal lattice of air-holes (radius r) with lattice constant a=270 nm and constant fill factor (r/a=0.29). Then, with radius reduction of the two ends air-holes (TEA-H), different confinement characteristics of photonic modes such as: numbers of confined modes, wavelengths, quality factors and two dimensional field profiles have been investigated. Calculations have shown that when radius of (TEA-H) in the linear NCs with n missing air-holes in a line, Ln, reaches to nearly zero value, transition in the structure to the L(n+2) NCs, with roughly different qualities has been observed. Also, improvement in the quality factors of higher-order modes will be achieved. Understanding of the higher-order modes and two dimensional field profiles of the confined photonic modes are useful for the design of more efficient nano-lasers and observation of the cavity QED effects.
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