Abstract: An overmoded waveguide transition comprises a flared waveguide section having different transverse cross-sections at opposite ends thereof, the longitudinal shape of a section of the transition adjacent an end thereof being defined by the equation:(r.sup.p /a)-(l.sup.p /b)=1where a and b are constants, r is the radius of the transition, l is the axial distance along the transition measured from one end, and the exponent p has a value greater than two.

Abstract: A horn-reflector antenna comprising a paraboloidal reflector for transmitting and receiving microwave energy, and a flared feed horn for guiding microwave energy to and from the reflector, the longitudinal shape of at least a section of the horn at the end where the horn begins to flare outwardly being defined by the equation ##EQU1## where R is the transverse dimension from the longitudinal axis of the horn to the side wall of the horn 1 is the axial distance along the horn measured from the end where the horn begins to flare outwardly, R.sub.1 and R.sub.2 are the radii of the horn at opposite ends of the horn section defined by the equation, L is the axial length of the horn section defined by the equation, and the exponent p has a value greater than two and less than about 7, to effect a substantial reduction in the TM.sub.11 mode level.

Abstract: A phased-overmoded, tapered waveguide transition has a central section which is tapered linearly in the longitudinal direction and two end sections which are tapered curvilinearly in the longitudinal direction. One of the end sections and at least a portion of the other end section are overmoded and, therefore, give rise to higher order modes of the desired microwave signals propagated therethrough. The lineraly tapered central section shifts the phase of higher order modes generated at one end of the transition so that at least a major portion of such higher order modes is cancelled by higher order modes generated at the other end of the transition.

Abstract: A waveguide connection formed between a rectangular waveguide (11) and an elliptical waveguide (12) having a cutoff frequency and impedance different from those of the rectangular waveguide (11) comprises an inhomogeneous stepped transformer (10) having multiple sections (31,32,33) all having inside dimensions small enough to cutoff the first excitable higher order mode in a pre-selected frequency band, each section (31,32,33) of the transformer having an elongated transverse cross section which is symmetrical about mutually perpendicular transverse axes (X,Y) which are common to those of the waveguides (11,12), the dimensions of the said cross section increasing progressively from step to step in all four quadrants along the length of the transformer in the direction of both transverse axes (X,Y) so that both the cutoff frequency and the impedance of the transformer (10) vary monotonically along the length of the transformer (10).