450fall09hw14 - ECE 450 Homework 14 Due Tue Dec 8 2009 5 PM...

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Unformatted text preview: ECE 450 Homework 14 Due: Tue, Dec 8, 2009, 5 PM 1. Even though dielectric slab waveguides are used for the transmission of optical frequencies, their application to the transmission of microwave and millimeter-wave frequencies has been exploited also. As an example, consider a dielectric slab waveguide with 2.5 mm thickness. The relative permittivity of the slab (core) material is 10.0. The surrounding medium is air. a) Focusing on TE mode propagation, show that only the TE0 mode is propagating in the waveguide for the operating frequency of 10 GHz. b) Find the range of possible values for the angle θ i at which the TE0 mode bounces off the top and bottom sides of the slab. c) Calculate the number of TE modes that can propagate in the guide at the frequency of 40 GHz. d) Propose ways in which you could modify the waveguide so that only the TE0 mode is propagating at 40 GHz. 2. Consider a dielectric slab waveguide of thickness 1 cm and relative permittivity of the core of 4. The surrounding medium is air....
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This note was uploaded on 02/22/2010 for the course ECE 450 taught by Professor Franke during the Fall '09 term at University of Illinois at Urbana–Champaign.

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450fall09hw14 - ECE 450 Homework 14 Due Tue Dec 8 2009 5 PM...

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