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Optimal design of photonic crystals 52

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The second row shows the corresponding dispersion relations between [ ˆβ1, β2].. From the third row to the last, the magnetic field intensities at both ˆβ1 and β2 are shown in 3D surf pl

Trang 1

λhWG,1

λhWG,2

0.8

1

1.2

1.4

0.8 1 1.2 1.4

0.8 1 1.2 1.4

||H2(β−1)|| 2

||H2(β^1)|| 2

||H2(β−2)|| 2

||H1(β^1)|| 2

Figure 5.6: β2 = 2 The figures in the columns from left to right each represent the case: (left)initial configuration, with band width Jh= 0.0036 ( ˆβ1= 1.9367); (middle) optimal configuration when only cladding is optimized, with band width 0.0307 ( ˆβ1 = 1.9385); (right) optimal configuration when both cladding and core are optimized, with band width Jh = 0.1113 ( ˆβ1 = 1.7807) The first row illustrates the PCF cross-sections The second row shows the corresponding dispersion relations between [ ˆβ1, β2] From the third row to the last, the magnetic field intensities at both ˆβ1 and β2 are shown in 3D surf plots

130

Trang 2

λhWG,1

λhWG,2

0.16

0.18

0.2

0.12

0.14

0.16 0.18 0.2

0.12 0.14

0.16 0.18 0.2

0.12 0.14

||H2(β−1)|| 2

||H2(β^1)||2

||H2(β−2)|| 2

||H1(β^1)|| 2

Figure 5.7: β2 = 0.8 The figures in the columns from left to right each repre-sent the case: (left)initial configuration, with band width Jh = 0.014 ( ˆβ1 = 0.79); (middle) optimal configuration when only cladding is optimized, with band width

Jh = 0.074 ( ˆβ1 = 0.74); (right) optimal configuration when both cladding and core are optimized, with band width Jh = 0.1 ( ˆβ1 = 0.72) The first row illus-trates the PCF cross-sections The second row shows the corresponding disper-sion relations between [ ˆβ1, β2] From the third row to the last, the magnetic field intensities at both ˆβ1 and β2 are shown in 3D surf plots

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