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.
Ray paths inside the elementary cell.
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.
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.
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.
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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