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Optimization of a single defect photonic crystal laser cavity
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10.1063/1.2838173
/content/aip/journal/jap/103/3/10.1063/1.2838173
http://aip.metastore.ingenta.com/content/aip/journal/jap/103/3/10.1063/1.2838173
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

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.

Image of FIG. 2.
FIG. 2.

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 .

Image of FIG. 3.
FIG. 3.

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 .

Image of FIG. 4.
FIG. 4.

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.

Image of FIG. 5.
FIG. 5.

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.

Image of FIG. 6.
FIG. 6.

The finite element model used for reflectivity optimization (left) and the mesh used (right). Some elements are removed for clarity.

Image of FIG. 7.
FIG. 7.

The magnitude of the fields of the (left) unoptimized and (right) optimized designs.

Image of FIG. 8.
FIG. 8.

The improvement in , , and during the optimization. The improvement in drives the improvement in .

Image of FIG. 9.
FIG. 9.

The intermediate designs during the optimization. The initial nearest neighbor hole shape is shown in gray.

Image of FIG. 10.
FIG. 10.

The improvement in factor and reflectivity per optimization iteration. The two curves approximately follow each other.

Image of FIG. 11.
FIG. 11.

Effective mode volume and Purcell factor of the lasing cavity during the optimization.

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/content/aip/journal/jap/103/3/10.1063/1.2838173
2008-02-05
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Optimization of a single defect photonic crystal laser cavity
http://aip.metastore.ingenta.com/content/aip/journal/jap/103/3/10.1063/1.2838173
10.1063/1.2838173
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