Circuit-slide-25

Circuit-slide-25 - Assume perfectly conducting walls and...

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Assume perfectly conducting walls and perfect dielectric filling the wave guide. Convention : a is always the wider side of the wave guide.
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It is useful to consider the parallel plate wave guide as a starting point. The rectangular wave guide has the same TE modes corresponding to the two parallel plate wave guides obtained by considering opposite metal walls
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The TE modes of a parallel plate wave guide are preserved if perfectly conducting walls are added perpendicularly to the electric field. On the other hand, TM modes of a parallel plate wave guide disappear if perfectly conducting walls are added perpendicularly to the magnetic field .
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The remaining modes are TE and TM modes bouncing off each wall, all with non-zero indices.
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We have the following propagation vector components for the modes in a rectangular waveguide At cut-off we have
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The cut-off frequencies for all modes are with cut-off wavelengths with indices
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The guide wavelengths and guide phase velocities are
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The fundamental mode is the TE 10 with cut-off frequency The TE 10 electric field has only the y-component. From Ampere’s law
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The complete field components for the TE 10 mode are then with
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The time-average power density is given by the Poynting vector
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This note was uploaded on 03/09/2012 for the course ECE 450 taught by Professor E.kudeki during the Spring '12 term at Illinois College.

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Circuit-slide-25 - Assume perfectly conducting walls and...

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