Yes, check out Holl_Ands website. He may have already modelled and documented some different variations of Omni antennas.
Careful - what works with sound (an air compression wave), might not work with RF waves. EM / RF waves are not so intuitive.
That's why we always say " you would have to computer model that to be sure "
But ya ... the concept you mention is similar .
And if you understand all the audio stuff and graphs and characteristics - you will surely understand what is there on Holl_ands website.
Careful also with your choice of pre-amp - if you decide to try one.
The best ones for this purpose have a low noise rating, and perhaps a switchable FM trap - to knock down high power, nearby local FM transmissions. Looks like you have no VHF lo channels, so in theory you could have some sort of high pass filter and reject anything below ch 7.
( some use a HLSJ ? for this purpose? maybe? a high low system join device and connect through the high side to select only VHF hi, and reject VHF lo, and maybe FM too ... not sure if the high side rejects FM too, but I think so. )
Many run into trouble overloading the pre-amp, with a high gain antenna, and nearby powerful local TV signals.
AUDIO stuff - working with sound - is also very interesting and COMPLEX.
( I've read a little on it ... very interesting )
I bet the Home Theatre guys and Audio Philes here on the Forum would be VERY interested to hear from you . Browse around.
Some guys are into HD Radio - digital FM - and antennas and receivers to try and receive that from the U.S. (very few stations in Canada yet.)
So welcome to the Forum ...
P.S.
when 2 bidirectional transducers (microphones) at right angles
I also have read where they place one transducer further back in a large room / recording space / hall - and that gives the recording like a natural delay / echo - ambience ... something like that.
Similar to a trick they do with an antenna sometimes - to try and help null out an interfering signal from the back.
(phase cancellation, time and distance signal / wave must travel. And with RF stuff, the time and distance the signal travels through the transmission line, ex. the coax cable, can be used in various ways as well. Very interesting stuff - all of it ! )