Interesting project. The 1-D's are close to my heart since I owned a pair for many years. And I remember the RTR's well.
Here's an interesting illustration of the radiation pattern of straight and curved lines:
http://www.xlrtechs.com/dbkeele.com/images/Card%20Back%20Large.png
The RTR, with its facets, approximated a curved line. At high frequencies, a curved panel will radiate like a pie slice -- the angle of the arc made by the curve being the angle of the pie slice. As frequency gets lower and wavelength starts to approach the wavelength of the arc, directionality starts to fall off, and eventually the arc will start acting like a point source (or dipole in the case of the RTR's). The facets do the same thing as the continuous arc, but since they're an approximation you'll generally get some lobing at the higher part of the frequency range.
Here's an interesting illustration of the radiation pattern of straight and curved lines:
http://www.xlrtechs.com/dbkeele.com/images/Card%20Back%20Large.png
The RTR, with its facets, approximated a curved line. At high frequencies, a curved panel will radiate like a pie slice -- the angle of the arc made by the curve being the angle of the pie slice. As frequency gets lower and wavelength starts to approach the wavelength of the arc, directionality starts to fall off, and eventually the arc will start acting like a point source (or dipole in the case of the RTR's). The facets do the same thing as the continuous arc, but since they're an approximation you'll generally get some lobing at the higher part of the frequency range.