Editing Transverse mode (section)

====Waveguides====
Hollow metallic waveguides filled with a homogeneous, isotropic material (usually air) support TE and TM modes but not the TEM mode.
In rectangular waveguides, rectangular mode numbers are designated by two suffix numbers attached to the mode type, such as TE<sub>''mn''</sub> or TM<sub>''mn''</sub>, where ''m'' is the number of half-wave patterns across the width of the waveguide and ''n'' is the number of half-wave patterns across the height of the waveguide.  In circular waveguides, circular modes exist and here ''m'' is the number of full-wave patterns along the circumference and ''n'' is the number of half-wave patterns along the diameter.<ref>F. R. Connor, ''Wave Transmission'', pp.52-53, London: Edward Arnold 1971 {{ISBN|0-7131-3278-7}}.</ref><ref>U.S. Navy-Marine Corps Military Auxiliary Radio System (MARS), NAVMARCORMARS Operator Course, [https://web.archive.org/web/20150412011516/http://www.navymars.org/national/training/nmo_courses/nmo1/module11/14183_ch1.pdf Chapter 1, Waveguide Theory and Application], Figure 1-38.—Various modes of operation for rectangular and circular waveguides.</ref>