In this paper, a new type of horizontal-flat and vertical-flat closed ellip
tic-groove guides is firstly presented. The field components and characteri
stic equations for some main transmission modes of the closed elliptic-groo
ve guides are derived by with the help of the mode-matching method and Math
ieu function. The variations of the cut-off wavelengths along with eccentri
cities, widths and lengths of the parallel plates for a number of lower ord
er transmission modes of the closed elliptic-groove guides are also analyse
d in detail. The calculated results in good agreement with ones in the rele
vant references are of very important values in theoretical researches and
actual applications of closed elliptic-groove guides for millimeter and sub
millimeter waves.