Long ago I read W8JI's article below. He did not tell us what the unlucky mast length was, He didn't even show us the Antenna View of the lucky mast length he suggested further down in his words either.
He just showed us the Eznec Antenna View showing the antenna and the currents with phase turned off. I was curious, so I wondered if I could model his idea and find a mast length that showed the same or similar Antenna View pattern as he posted. Scroll down to W8JI's "Imax 2000 Solarcon A99 Antenna" article below.
https://www.w8ji.com/end-fed_vertical.htm#IMAX
Below the PDf file shows what I came up with after many iterations of various mast length tests.
Models:
1. is my starting version of a 22.5' Imax radiator directly attached to the top of a 67' mast with no isolation anywhere. I choose this mast length because it showed the most similarity to the Antenna View W8Ji showed us.
But when I scanned the model for FF Plot I was totally surprised. The pattern looked like the best case scenario he shows us later in the article. So, I had to find out what made the difference between my model and his model.
I also made some scratch marks in black ink at some important spots that demonstrate differences to note in the details for the PDF file images below.
2. is equal in dimensions to #1, but is my version of what W8JI's model really looks like. What got my attention was, I noticed the currents at the bottom of W8Ji's mast did not look like the currents at the base of the mast on my model.
NOTE:
I had seen this anomaly in modeling before and to me it indicated the mast was not actually touching the ground...even though the image looked like it touch the Earth. So, my model has no isolation (ISO) and and it shows a good pattern, and his model is isolated at the base and shows a worst case scenario.
Conclusion: This small difference can't be seen in the his image. In my version of his model I used 0.50' feet or 6" inches to create the isolation at the base of the mast and now the Antenna View looks identical to the image he produced as the unlucky mast length. This little change in these 2 models makes the difference we see in the FF Plot patterns that W8JI suggested to the reader...as the difference in a lucky vs an unlucky mast length.
W8JI is a smart man, so maybe he was trying to make a point and used this to demonstrate the difference that CMC can make for antenna installations. But, I see this telling us we have to do some else to fix the problem for CMC...
and it is not looking for some illusive mast length.
The likely reason he did not show us the antenna image of the lucky mast length, is because both of these models masts shows to be very heavy in currents. And as he states later on in the article,
"...the currents on the unlucky length mast are about equal to the currents on the radiator."
IMO, these modeling image show us the currents on the lucky length mast are al;so heavy, and finding a lucky mast length is not the best solution even if a little change in length does show some effects in the real world.