Textbooks that cover plane mirror waveguides

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Discussion Overview

The discussion revolves around finding textbooks that provide detailed coverage of plane mirror waveguides, particularly in the context of electromagnetic theory. Participants seek resources that address both theoretical and practical aspects of waveguides formed by infinite conducting sheets.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about E&M textbooks that cover plane mirror waveguides in detail.
  • Another participant suggests that Jackson's textbook may address the topic, specifically mentioning perfectly conducting waveguides as analogous to mirrors.
  • A subsequent reply indicates that Jackson covers rectangular waveguides but questions whether it addresses waveguides made of two infinite conducting sheets.
  • A different participant mentions Pozar's "Microwave Engineering" as a resource that discusses waveguides, albeit for finite width, and references a specific problem in Jackson's book.
  • Another contribution suggests using Jackson's general method for boundary conditions tailored to infinite extents and mentions the potential use of cylindrical wave expansions for expressing solutions.

Areas of Agreement / Disagreement

Participants express differing views on the adequacy of Jackson's coverage of the topic, with some believing it may not fully address the specific case of infinite conducting sheets. There is no consensus on a definitive resource that meets the original inquiry.

Contextual Notes

Limitations include the lack of clarity on whether Jackson's treatment is sufficient for infinite width waveguides and the potential need for adaptations of general methods to specific boundary conditions.

arunma
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Anyone know of an E&M textbook that covers plane mirror waveguides in any reasonable detail?
 
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Doesn't Jackson do this? He covers perfectly conducting waveguides, which are the same thing as mirrors, I believe...
 
I checked Jackson, section 8.2, and he covers rectangular waveguides. However, I'm looking for a treatment of a waveguide consisting of two infinite conducting sheets. Am I looking in the wrong section?

Thanks for your help.
 
Pozar, Microwave Engineering, discusses these (for finite width). See also Jackson problem 8.3.

Not sure of a treatment for infinite width, if that is what you mean.
 
Just follow the general method Jackson describes, but for your own particular boundary conditions (i.e., infinite extent in one direction).

Also, you might try looking up cylindrical wave expansions. I don't know if Jackson covers that. But you should be able to express your answer simply in terms of complex exponentials in the z direction (to satisfy boundary conditions on the plates), and cylindrical waves in the radial direction.
 

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