Question: - Consider a dielectric slab waveguide that has a thin GaAs layer of thickness 0.25 m between two AlGaAs layers. The refractive index of

- Consider a dielectric slab waveguide that has a thin GaAs layer  

- Consider a dielectric slab waveguide that has a thin GaAs layer of thickness 0.25 m between two AlGaAs layers. The refractive index of GaAs is 3.6 and that of the AlGaAs layers is 3.4. What is the cutoff wavelength beyond which only a single mode can propagate in the waveguide, assuming that the refractive index does not vary greatly with the wavelength?

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Applied Linear Algebra 1st edition by Peter J. Olver, Cheri Shakiban