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1. Thermo-optic switch based on total internal reflection

Calculate the angle and length increments for a thermo-optic switch, array waveguide grating, and splitter in a waveguide system.

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1. Thermo-optic switch based on total internal reflection

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  1. n1 n2 1. Thermo-optic switch based on total internal reflection The refractive index n1 of the waveguide is 1.459. The material has the temperature effect: If we want effective switch at T = 30K what’s the  angle between the two waveguides?

  2. L0 +(m-1)L d D L0 2. Array waveguide grating (AWG) The refractive index of the waveguide is Nc=1.459, and the refractive index of the slab is ns=1.462. D = 250µm, and d = 50µm. The wavelength  =1.5µm. What’s the length increment L if we want the AWG has the resolution of 1nm. f = 1cm

  3. 3. Splitter  = 100µm-1 1 3 For A1(0) = A1, A2(0) =0 A1(z) A2(z) Un-connected port 4 What’s the coupling length needed to have 20% splitting ratio?

  4. 4. Waveguide gratings A1(z)|z=0 = A1(0) A1(z)  = 100µm-1 A2(z) )|z=L = 0 A2(z) What’s the length of the grating needed to achieve 98% reflections?

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