Modes in Waveguide

I have been reading Electromagnetics book by Kraus/Fleisch to understand modes in waveguide but its not very clear to me, I don't have access to other book right
now because the library is closed for the holidays.

Can anybody kindly give me an intuitive explanation about different modes TE10, TE20, TE11, TM10, TM20, TM22 etc. ?

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Modes refer to the way the fields are distributed. They are basically the eigen functions corresponding to the Maxwell equations with proper boundary conditions.

-svarun

about the definition of TE and TM mode, different literature(/author) have their own definition, for most generally agreed difinition of mode in rectangular metal waveguide:
TE mode refers to in longitudal direction(wave propagating direction) no electric field component,
TM mode refers to in longitudal direction(wave propagating direction) no magnetic field component.

TEmn or TMmn, m and n mean in the corresponding direction the electric/magnetic field have m or n periods, where 0 means it is equally distributed.

Best Regards,

Relating to previous answer:

For example TE10 mode means that electric field has one half period along x-axis (in cartesian case i.e. in rectangular waveguide). For example from

http://www.amanogawa.com/archive/docs/EM15.pdf

you can find fine documentation. There is an intuitive figure in page 272 of TE10 mode. Note that electric field has no component along z-axix (longitudal-axis), but magnetic field has. At everyone point magnetic field and electric field are perpendicular to each other. Closer the flux lines are each other in picture, the stronger the field is on corresponding point.

Maybe TEx0 or TE0y modes are easiest to understand and recognize from graphical presentations, x half periods along x- or y-axis. TExy presentations are not so clear, but they can be understans by similar manner.

If one takes a single point from wave guide, and then moves parallel to x- (or y axis), the electric field have to change exhibiting x (or y) half periods. Because electric and magnetic field are perpendicular at each point, also the distribution of magnetic field have to be changed. Also TM modes are not so intuitive, but they can be thougth by a similar manner; periodically changing fields.

regards,
Markus

Hello :

If you have problem in understanding of their concepts , you can find very useful interpretations in these books:

Microwave passive circuits by Rizi
or
Field &wave electromagnetics by Cheng

but if you want to understand their concepts more deeply & visualy you can use HFSS software and analyse several waveguide yourselves .
I'm sure if you can analyse some wave guides & see their results , you can understand it more deeply.

good luck

I'll recommend use HFSS or some other 3D software and try defining the modes in that..you will get a fairly good idea from there

All about that you want to know are the propagation mode the number depend on the wave length of E-field or M-Field. You can stop your imagine by EE-soft or Microwave office.