LUIX
Newbie level 4

Waveguide questions
I'm a beginner in µW. And, after a lot of reading I've some questions unsolved:
1 - For a rectangular waveguide a≥b, the cutoff frecuency equation is the same for TE & TM modes, right? Why is allways stated that the dominant mode is TE10? Why not TM10, as fc is the same?
2 - How is the history in circular waveguides? I've found different equations for TE & TM modes. And allways based on a constant, like: fcTE11 = 0,586(c/D), but the constant is never explained. I've done some maths, and looks like some of this constants lighty match Π/4 as the ratio for perimeters between a circle an a square. Is this a coincidence?
Thanks a lot!
I'm a beginner in µW. And, after a lot of reading I've some questions unsolved:
1 - For a rectangular waveguide a≥b, the cutoff frecuency equation is the same for TE & TM modes, right? Why is allways stated that the dominant mode is TE10? Why not TM10, as fc is the same?
2 - How is the history in circular waveguides? I've found different equations for TE & TM modes. And allways based on a constant, like: fcTE11 = 0,586(c/D), but the constant is never explained. I've done some maths, and looks like some of this constants lighty match Π/4 as the ratio for perimeters between a circle an a square. Is this a coincidence?
Thanks a lot!