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EE 151 Caltech Electromagnetic Engineering Spring ‘05 Homework 6 Due Tuesday, May 17thin class 1. (Dielectric Waveguide) A symmetric dielectric slab waveguide, as shown in Figure 1, has n1= 1.462, n2= 1.460. Suppose the operating wavelength is λ0 = 1550 nm. (a)What is the maximum slab thickness 2d, for which there would only be a single mode that could propagate in the waveguide? (b)Assume d = 12 µm. How many TE modes can propagate simultaneously in the waveguide? n2n2n1x d z-d Figure 1. 2. (Thin File-On-Conductor Waveguide). A thin film-on-conductor waveguide is made of a thin film of lossless dielectric (εd, µ0) of thickness d on a perfectly conducting ground plane, as shown in Figure 2. The thin film is protected by a lossless dielectric coating (ε1, µ0). Assume the widths and heights of the coating and the ground plane extend to infinity. The wave propagates in the y direction.
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