lecture 7 - TM Modes of a Cylindrical Waveguide Word - lecture 7 - TM Modes of a Cylindrical...
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pg 1 E z component of TM Modes of a Cylindrical Waveguide, by Dr. Colton Physics 442, Summer 2016 This is ݖܧൌ ܬ ቀ ௨ బభ ௦ ோ ቁ, with ൌ1 and ݏൌ ඥ ݔଶ ݕଶ . TM 01 TM 02
Transcript of lecture 7 - TM Modes of a Cylindrical Waveguide Word - lecture 7 - TM Modes of a Cylindrical...
pg 1
Ez component of TM Modes of a Cylindrical Waveguide, by Dr. Colton Physics 442, Summer 2016
This is , with
1 and .
TM01
TM02
pg 2
TM03
TM09
(Skipping a few, over to mode 09.)
pg 3
TM11
TM12
This is cos .
It’s the first mode with ϕ dependence. I used the “Arg” function as a trick to get ϕ.
Often we say tan ,
but the tan-1 function has problems in the 2nd and 3rd quadrants. Arg (the polar angle of a complex number) doesn’t suffer from those issues.
pg 4
TM13
TM21
This is cos 2 .
pg 5
TM22