Here's a little tidbit you won't find written anywhere else to the best of my knowledge.
Coaxial cables having effective lengths longer or shorter than ¼
and ½ wavelengths and their multiples can be used as impedance transformers, and
provide a means for matching elements of impedance mis-matched system devices
together. Cables longer than ½ wavelength exhibit an inductive effect and those shorter
than ½ wave become capacitive.
Therefore, the trick in matching mis-matched systems together is to find a cable
length that produces equal and opposite inductive or capacitive effects to arrive at a net
resistive match. The means of accomplishing this are the most important tools that cable
network designers have to work with.
That's a bit presumptuous don't you think? Guess you never heard of the conjugate match. Been known about and written about on the internet for decades.Even before that in what were called books. I needed a piece of 35 ohm transmission line to match my 50 ohm transmission line to a pair of 13B2 yagis, each of 50 ohms that when feed in parallel resulted in 25 ohms. The required matching system has to be between the two impedances to be matched. In this case it had to be between 25 and 50 ohms. As it happens a 1/4 wavelength of 36 ohm coax will effect this match. I made a 1/4 wavelength section from square aluminum tubing and 1/2 inch copper pipe, the sizes of which created a 36 ohm line section. Two pieces of 75 ohm cable in parallel would do the same thing.In the end I ended up with two 50 ohm antenna in parallel making 25 ohms that when connected thru a piece of 36 ohm transmission line resulted in 50 ohms at the transmitter. Anyone that is familiar with transmission lines knows all about impedance transformation using coaxial line sections.