Electronics World Cover,TOC,and list of posted Popular Electronics articles QST Radio & TV News Radio-Craft Radio-Electronics Short Wave Craft Wireless World About RF Cafe RF Cafe Homepage RF Cafe in Morse Code Google Search of RF Cafe website Sitemap Electronics Equations Mathematics Equations Equations physics Manufacturers & distributors Engineer Jobs Twitter LinkedIn Crosswords Engineering Humor Kirt's Cogitations Engineering Event Calendar RF Engineering Quizzes AN/MPN-14 Radar 5CCG Notable Quotes App Notes Calculators Education Magazines Software,T-Shirts,Coffee Mugs Articles - submitted by RF Cafe visitors Simulators Technical Writings RF Cafe Archives Test Notes RF Cascade Workbook RF Stencils for Visio Shapes for Word Thank you for visiting RF Cafe!

Properties of Modes in a Rectangular Waveguide

Rectangular waveguides, as opposed to circular and elliptical waveguides, are by far the dominant configuration for the installed base of waveguides for compact systems like radar and inside equipment shelters. That is probably due to the generally greater rigidity of rectangular structures because the wall thickness can be easily made thicker than with circular. It is also easier to route and mount in close quarters, and attaching penetrating objects like probes and switches is much simpler.

Rectangular waveguide variables - RF Cafe


Tabel of Time-Harmonic Mode Properties in a Rectangular Waveguide, by Brian Sequeira - RF CafeMost rectangular waveguide calculations can be performed on any calculator that has trig function keys. Calculations for circular waveguide, on the other hand, requires the application of Bessel functions, so working equations with a cheap calculator is not going to happen. However, even spreadsheets have Bessel function capability nowadays, so determining cutoff frequencies, field strengths, and any of the other standard values associated with circular waveguide can be done relatively easily. The formulas below represent those quantities most commonly needed for rectangular waveguides. Please see the figure at the right for variable references.

Note: I received the following note from Brian Sequeira, of the Johns Hopkins University Applied Physics Laboratory. "I reviewed tables on rectangular and circular waveguides, and based on my experience of what confuses first-time readers and what does not, I made adjustments to notation & symbols, corrected a couple of sign errors, and put expressions in a form that make their units more apparent." The table for rectangular waveguide can be viewed full-size by clicking on the thumbnail to the right. Brian also provided a table for circular waveguide.
 
Quantity TE Modes TM Modes
Hz Rectangular waveguide mode equations - RF Cafe 0
Ez 0 Rectangular waveguide mode equations - RF Cafe
Ex Rectangular waveguide mode equations - RF Cafe Rectangular waveguide mode equations - RF Cafe
Ey Rectangular waveguide mode equations - RF Cafe Rectangular waveguide mode equations - RF Cafe
Hx Rectangular waveguide mode equations - RF Cafe Rectangular waveguide mode equations - RF Cafe
Hy Rectangular waveguide mode equations - RF Cafe Rectangular waveguide mode equations - RF Cafe
Zh,nm Rectangular waveguide mode equations - RF Cafe  
Ze,nm   Rectangular waveguide mode equations - RF Cafe
kc,nm   Rectangular waveguide mode equations - RF Cafe
βnm   Rectangular waveguide mode equations - RF Cafe
λc,nm   Rectangular waveguide mode equations - RF Cafe
α Rectangular waveguide mode equations Rectangular waveguide mode equations - RF Cafe
Rectangular waveguide mode equations - RF Cafe


The expression for α is not valid for degenerate modes.
Equations derived from "Foundations for Microwave Engineering, R.E. Collin, McGraw-Hill


Related Pages on RF Cafe

- Properties of Modes in a Rectangular Waveguide
- Properties of Modes in a Circular Waveguide
- Waveguide & Flange Selection Guide
- Rectangular & Circular Waveguide: Equations & Fields
- Rectangular waveguide TE1,0 cutoff frequency calculator.
- Waveguide Component Vendors
- Waveguide Design Resources
- NEETS - Waveguide Theory and Application
- EWHBK, Microwave Waveguide and Coaxial Cable


Try Using SEARCH to Find What You Need.  >10,000 Pages Indexed on RF Cafe !

Copyright 1996 - 2016
Webmaster:  Kirt Blattenberger, BSEE - KB3UON
Family Websites:  Airplanes and Rockets | Equine Kingdom

All trademarks, copyrights, patents, and other rights of ownership to images
and text used on the RF Cafe website are hereby acknowledged.