Converting antenna factor / radiation patterns to dB

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Terminator3

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Hello again!
After calculating antenna factor, it can be converted to dB 20*log10(AntennaFactor(phi,theta))]),
wher theta - angle -90..+90 deg. phi = 0 or 90 deg.

Next step is to draw radiation pattern in dB:
https://www.antenna-theory.com/arrays/arrayfactor.php
then the radiation (or reception) pattern for an antenna array is simply the Array Factor multiplied by the radiation pattern
I am unsure about that multiplication must be done with radiation pattern or normalized radiation pattern?
 

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