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I haven't used Makoto Mori's program so can't say anything specific about it's results.  I can say that the radiation pattern shown for a 1/2 wave dipole at 1/2 wave above ground ('real' or not) is not as directional as shown.  The shown plot is a 'classic' directional pattern at much more than 1/2 wave length above ground, probably something greater than 1 or 2 wave lengths.

I'm also not going to do the work in duplicating plots for a 1/2 wave horizontal dipole at a 1/2 wave above ground, I'm too lazy and don't know what I did with the program, lost the @#$ thing somewhere.  Marconi is familiar with all that, ask him to do it with his preferred modeling program.  I know that sounds like a 'cop-out', but it's a fact, I can't find the @#$ thing!

Very simply, the cited results are just too 'good' to be true, you know?  Mori is a very accomplished programmer and his program does work, but you gotta use the correct 'input's to get it to produce 'real life' (Isotropic results really, never 'real life') results.

 - 'Doc