Transcription of Lecture 5c -- Rectangular waveguide - EMPossible
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Lecture 5c -- Rectangular waveguide - EMPossible
10/30/20171 Lecture 5cSlide 1EE 4347 Applied ElectromagneticsTopic 5cRectangular waveguide These notes may contain copyrighted material obtained under fair use rules. Distribution of these materials is strictly prohibited Lecture OutlineLecture 5cSlide 2 What is a Rectangular waveguide ? TEM Analysis TM Analysis TE Analysis Visualization of Modes Conclusions10/30/20172 Lecture 5cSlide 3 What is a Rectangular waveguide ? Lecture 5cSlide 4 Geometry of Rectangular WaveguideStandard convention:ab 10/30/20173 Lecture 5cSlide 5 Analysis of Rectangular WaveguideRectangular waveguides are analyzed along each axis like a parallel plate on the Rectangular waveguide Most classic waveguide example Some of the first waveguides used for microwaves Not a transmission because only one conductor Does not support a TEM mode Exhibits a low frequency cutoff below which no waves will propagateLecture 5cSlide 610/30/20174 Lecture 5cSlide 7TE AnalysisLecture 5cSlide 8 Recall TE AnalysisThe governing equation for TE analysis isAfter a solution is obtained, the remaining field components are calculated according to220,0,20,220zzczHHkHxy 222ckk 0,0,20,0,2zxczycHjHkxHjHky 0,0,20,0,20,0zxczyczHjEkyHjEkxE 10/30/20175 Lecture 5cSlide 9 General Form of the SolutionFrom the geometry of the wavegui
What about the TE10mode? TE 1, 010 mn 22 c,10 11 0 1 22 f aba CAUTION: We cannot yet say that the TE10is the fundamental mode because we have not checked the cutoff frequency of the TM modes. Since a > b, we conclude that the first‐order mode is TE10because it has the lowest cutoff frequency.
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