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Analytical and numerical calculations of the dispersion characteristics of two-dimensional dielectric photonic band gap structures
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10.1063/1.2186385
/content/aip/journal/jap/99/6/10.1063/1.2186385
http://aip.metastore.ingenta.com/content/aip/journal/jap/99/6/10.1063/1.2186385
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematics of a 2D rectangular PBG structure representing (a) several cells of the structure with an elementary cell inside the dashed box and (b) a reciprocal lattice and a Brillouin zone with an irreducible Brillouin zone in the shaded region.

Image of FIG. 2.
FIG. 2.

Ray paths inside the elementary cell.

Image of FIG. 3.
FIG. 3.

Dispersion characteristics for the first six bands for the TM modes in the rectangular PBG structure with , , , , and . Special points , , , and correspond to , , , and , respectively.

Image of FIG. 4.
FIG. 4.

Plot of the normalized frequency versus the wave vector for the first six bands of TM modes with , , , , and . Here, varies from to , to , and to [see Fig. 1(b)]. Solid curves are the analytical results, whereas the triangles are the results from the PBGSS calculations.

Image of FIG. 5.
FIG. 5.

Percentage error in normalized frequency as a function of for the first TM mode at point . Dashed line represents the fit for the absolute value of the maximum errors.

Image of FIG. 6.
FIG. 6.

Normalized imaginary part of for TM modes with a frequency in the middle of the first global band gap as a function of the angle of propagation with respect to the axis.

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/content/aip/journal/jap/99/6/10.1063/1.2186385
2006-03-30
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analytical and numerical calculations of the dispersion characteristics of two-dimensional dielectric photonic band gap structures
http://aip.metastore.ingenta.com/content/aip/journal/jap/99/6/10.1063/1.2186385
10.1063/1.2186385
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