Consider an asymmetric slab waveguide, with a core index ng= 1.5, a cladding index n= 1.0 (air-clad), and a substrate index n,=1.47. a) What is the maximum allowed value for kh? (K is the transverse wavevector) b) Using the graphical method, determine the allowed values for x and consequently for ẞ for a waveguide height of 5 μm and 7 μm, respectively. Assume an excitation wavelength of 1 µm One application of slab waveguides is in sensing. By having an air-cladding, it is possible to disturb th waveguide transmission through any surface contamination. To achieve this, we need to know the ra of the power in the evanescent tail vs. the core power. c) Find the ratio of the power-per-unit-length-in-the-y-direction in the cladding to the power-p unit-length-in-the-x-direction in the core

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Answered: Consider an asymmetric slab waveguide, with a core index ng= 1.5, a cladding index n= 1.0 (air-clad), and a substrate index n,=1.47. a) What is the maximum…

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Consider an asymmetric slab waveguide, with a core index ng= 1.5, a cladding index ne= 1.0 (air-clad),
and a substrate index n₁=1.47.
a) What is the maximum allowed value for kh? (K is the transverse wavevector)
b) Using the graphical method, determine the allowed values for K and consequently for ẞ for a
waveguide height of 5 μm and 7 μm, respectively. Assume an excitation wavelength of 1 μm.
One application of slab waveguides is in sensing. By having an air-cladding, it is possible to disturb the
waveguide transmission through any surface contamination. To achieve this, we need to know the ratio
of the power in the evanescent tail vs. the core power.
c)
Find the ratio of the power-per-unit-length-in-the-y-direction in the cladding to the power-per-
unit-length-in-the-y-direction in the core.

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