homework6

Engineering Electromagnetics with CD (McGraw-Hill Series in Electrical Engineering)

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EE 151 Caltech Electromagnetic Engineering Spring ‘05 Homework 6 Due Tuesday, May 17 th in class 1. ( Dielectric Waveguide ) A symmetric dielectric slab waveguide, as shown in Figure 1, has n 1 = 1.462, n 2 = 1.460. Suppose the operating wavelength is λ 0 = 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 µ m. How many TE modes can propagate simultaneously in the waveguide? n 2 n 2 n 1 x 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 ( ε d, µ 0 ) of thickness d on a perfectly conducting ground plane, as shown in Figure 2. The thin film is protected by a lossless dielectric coating ( ε 1, µ 0 ). 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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Unformatted text preview: Find the cut-off frequencies for the TE modes. y ( d, ) = ( 1, ) d x z Figure 2. 3. ( Waveguide Dispersion ) Problem 14.23 in Hayt and Buck, 7 th Ed. (14.15 in 6 th Ed.). 4. ( FEMLAB simulation ) Use FEMLAB (2D In-plane TE waves model) to simulate the wave propagation in a dielectric slab waveguide. The structure of the waveguide is given in Figure 3. The working wavelength is 1550nm. a). Use the uniform and Gaussian E field distributions at the input to excite the fundamental guided mode. Calculate and compare the coupling coefficients of the two cases. Plot the E field. b). Is the TE 2 mode supported? If so, use a proper source to excite it so that the coupling coefficient is better than 90%. Plot the E field. n = 1.5 n = 1 n = 1 1um 10um 30um Figure 3....
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homework6 - Find the cut-off frequencies for the TE modes....

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