Module 5 c

Module 5 c - Module 5 Lecture 3 Waveguide miscalleneous...

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page 1 Module 5 Lecture 3 Waveguide miscalleneous topics and Dispersion

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page 2 Contents The “square” hollow conducting waveguide The Poynting vector in hollow waveguides (i.e. for non- TEM waves) Dispersion of wave signals Phase and group velocity fundamentals Waveguide dispersion A waveguide mode as a superposition of 4 plane waves (only two for the dominant mode). Resonators Mode Launchers Shielding by conductors Teacher’s evaluation
page 3 Cut-off frequency and geometry In rectangular waveguides, the lowest cut off mode is associated with a single sine or cosine function of the longest dimension (largest value of dimension “a” or “b” gives smallest f c )

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page 4 What is the dominant mode of a square hollow conductor? The dominant mode is still a TE 10 mode, but it can also be the TE 01 mode (since a=b). They have the same cut-off frequency, therefore the same phase and group velocity, propagation constant, and wave impedance (they are both TE). They have the same field patterns, but rotated by 90 degrees relative to each other. Therefore they do not have the same polarization.
page 5 Fields of the two dominant modes of a square hollow conductor Unless some very sophisticated launch antenna is used, both modes will be launched when the frequency f lies between f c and 2f c . Since they are both TE modes, their wave impedance is the same. They will propagate and transmit power to loads exactly equally,

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This note was uploaded on 09/27/2011 for the course ENGINEERIN 3600 taught by Professor Victor during the Spring '11 term at Carleton CA.

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Module 5 c - Module 5 Lecture 3 Waveguide miscalleneous...

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