Yagi antennae spacing

Following formula finds the better spacing when coupling Yagi antennae, optimizing overall gain. Phi is the -3 dB angle. 

 

        lambda
d = --------------
     2 sin(Phi/2)


Here is an example for my
25JXX70

                                              693.96         693.96
Phi E plane = 23°, thus d = --------------- = ----------- = 1740 mm
                                           2 sin(23/2)      0.3987

                                                  693.96         693.96
Phi H plane = 23.8°, thus d = ----------------- =---------- = 1683 mm
                                              2 sin(23.8/2)    0.4124


It is very important to simmetrically feed both antennae, to avoid phase losses.