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circular is easy to manufacture than rectangular

As the name indicates the circular is circular in shape and rectangular is rectangular in shape

its uses same modes that is Te and Tm

I know this much only hope this helped u little bit atleast

A: In principle waveguides act as the equivalent of wires for high frequency circuits. For such applications, it is desired to operate waveguides with only one mode propagating inside of the waveguide. With rectangular waveguides, it is possible to design the waveguide such that the frequency band over which only one mode propagates is as high as 2:1 (i.e. the ratio of the upper band edge to lower band edge is 2). With circular waveguides, the highest possible band width allowing only a single mode to propagate is only 1.3601:1. I found it on Wikileaks.

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