The finite element model used to calculate the factor. Only four rows of holes are shown here for clarity; six rows of holes are used in all calculations.
The factor as a function of nearest neighbor hole radius for various choices of surrounding hole radius . The parameter search is refined via the interval bisection near the peak. The thickness of the slab is adjusted such that the computed resonant frequency satisfies the constraint .
The maximum factor as a function of surrounding hole radius . The nearest neighbor hole radius at each point is shown in Fig. 2. The function does not have a sharp peak; a peak factor of over 40 000 is found for .
The finite element model used to calculate the total reflectivity. The model has the same boundary conditions and material properties as the model used to calculate the factor, but it has a PML region in the center, a line of current around the PML.
The factor and total structural reflectivity as a function of nearest neighbor holes for a structure with surrounding hole radius of . The structural reflectivity and factor exhibit the same trends.
The finite element model used for reflectivity optimization (left) and the mesh used (right). Some elements are removed for clarity.
The magnitude of the fields of the (left) unoptimized and (right) optimized designs.
The improvement in , , and during the optimization. The improvement in drives the improvement in .
The intermediate designs during the optimization. The initial nearest neighbor hole shape is shown in gray.
The improvement in factor and reflectivity per optimization iteration. The two curves approximately follow each other.
Effective mode volume and Purcell factor of the lasing cavity during the optimization.
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