λCL,1 h λWG,1 h λWG,2 h 1.4 1.4 1.4 1.2 1.2 1.2 0.8 0.8 0.8 ^ ||H1(β1)||2 − ||H2(β1)||2 ^ ||H2(β1)||2 − ||H2(β2)||2 Figure 5.6: β = 2. The figures in the columns from left to right each represent the case: (left)initial configuration, with band width Jh = 0.0036 (βˆ1 = 1.9367); (middle) optimal configuration when only cladding is optimized, with band width 0.0307 (βˆ1 = 1.9385); (right) optimal configuration when both cladding and core are optimized, with band width Jh = 0.1113 (βˆ1 = 1.7807). The first row illustrates the PCF cross-sections. The second row shows the corresponding dispersion relations between [βˆ1 , β ]. From the third row to the last, the magnetic field intensities at both βˆ1 and β are shown in 3D surf plots. 130 λCL,1 h λWG,1 h λWG,2 h 0.2 0.2 0.2 0.18 0.18 0.18 0.16 0.16 0.16 0.14 0.14 0.14 0.12 0.12 0.12 ^ ||H1(β1)||2 − ||H2(β1)||2 ^ ||H2(β1)||2 − ||H2(β2)||2 Figure 5.7: β = 0.8. The figures in the columns from left to right each represent the case: (left)initial configuration, with band width Jh = 0.014 (βˆ1 = 0.79); (middle) optimal configuration when only cladding is optimized, with band width Jh = 0.074 (βˆ1 = 0.74); (right) optimal configuration when both cladding and core are optimized, with band width Jh = 0.1 (βˆ1 = 0.72). The first row illustrates the PCF cross-sections. The second row shows the corresponding dispersion relations between [βˆ1 , β ]. From the third row to the last, the magnetic field intensities at both βˆ1 and β are shown in 3D surf plots. 131 . width J h = 0.0036 ( ˆ β 1 = 1.9367); (middle) optimal configuration when only cladding is optimized, with band width 0.0307 ( ˆ β 1 = 1.9385); (right) optimal configuration when both cladding and core. width J h = 0.014 ( ˆ β 1 = 0.79); (middle) optimal configuration when only cladding is optimized, with band width J h = 0.074 ( ˆ β 1 = 0.74); (right) optimal configuration when both cladding and core