An array waveguide multiplexer like that shown in Fig. 5.9 is designed to operate around a center wavelength of 1.55 μm and to have 20 channels spaced 1 nm
apart in wavelength. The radius of curvature in the focusing slabs is 8 mm. The
input and output waveguide spacing is 125 μm and the array waveguide separation is 7 μm. The index of refraction in the slab regions is 1.67. What is the
required path length difference between adjacent waveguides in the array?
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