We analyze the influence of the dielectric constant of the slab on thequality factor (Q) in slab photonic crystal cavities with a minimized verticallosses model. The higher value of Q in high-epsilon cavity is attributed to thelower mode frequency. The Q ratio in a high-epsilon (silicon) vs. low-epsilon(diamond) slab is examined as a function of mode volume (Vm). The mode volumecompensation technique is discussed. Finally, diamond cavity design isaddressed. The analytical results are compared to 3D FDTD calculations. In adouble heterostructure design, a Q=2.6*10^5 is obtained. The highest Q=1.3*10^6with Vm=1.77*(lambda/n)^3 in a local width modulation design is derived.
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