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Schematic of a two-dimensional disordered PC and LDOS distribution at a frequency inside the photonic band gap. The first circle, R1 (solid line), has a radius of , and the second circle, R2 (dotted line), has a radius of . The two circles represent the two different areas over which the LDFs are calculated. The whole PC area is inside R1, and the central area is inside R2.
(a) LDFs in the whole PC area (inside circle R1) in a two-dimensional disordered PC with a volume-filling fraction of 0.283. (b) LDFs in central area (inside circle R2) in a two-dimensional disordered PC. The transition frequencies are in the photonic band gap, near the photonic band edge, and in the photonic band. The unit of frequency is .
LDFs of line antennas in the whole PC area (inside circle R1) with different degrees of disorder. (a) The transition frequency is in the photonic band. The parameters of the PC are the same as those of the PC used to generate the LDFs shown in Fig. 2(a) . (b) The transition frequency is near the band edge. (c) The transition frequency is in the photonic band gap. The degree of disorder is denoted by . (d) LDF of line antennas in a PC with triangular lattice. The used parameters of the PC are the same as those reported in Ref. 14 .
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