Electromagnetic Field Theory
A vector field A = p In is given in Cartesian coordinates. In cylindrical coordinates it will be represented as

 A = cosφ Ir.
 A = sinφ Ir.
 A = cosφ Ir - sinφ Ir.
 A = cosφ Ir + sinφ Iφ.

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Electromagnetic Field Theory
The wave in wave guide has

Larger wavelength than in the free space
Larger frequency than in the free space
Diminishing wavelength than in the free space
Group velocity inversely proportional to wavelength

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