Multilayer Waveguide Project Develop numerical code to analyze multi-layer slab waveguides. Here is a journal reference to help you develop the code: J. Chilwell, and I. Hodgkinson, "Thin-films filed-transfer matrix theory of planar multilayer waveguides and reflection from prism-loaded waveguides," J. Opt. Soc. Am. A, vol. 1, pp. 742-753, Jul. 1984. Figure 1 Analyze a slab ARROW waveguide (see Figure 1) made with silicon dioxide and silicon nitride dielectric layers and a water core (n=1.3). Don’t worry about how the infinite slab is magically suspended. Use a wavelength of λ=780nm. Determine the layer thickness from . Look up the refractive indices of the layers at (http://www.ee.byu.edu/photonics/opticalconstants.phtml) (1) Calculate the following: a. The number of supported modes b. The effective indices of the supported modes c. The propagation loss of the supported modes in units of dB/m d. The mode field profiles of the supported modes Be sure to explain what is meant by a supported mode and how you calculate the loss.