Abstract: The electromagnetic fields components of the TE wave mode of a half-round waveguide are obtained theoretically, by using the conclusions of the rectangle and the circular waveguide, the superposition method and the mirror image method etc. Based on the special properties of the metal contact surface, on certain conditions the electromagnetic field components of the half-round waveguide are given. At last,the electromagnetic fields components of the halE-round waveguide are shown by transitional method,on general conditions. rect

Key words: angular waveguide, circular waveguide, isosceles-right triangular waveguide, half-round waveguide