how to design complex feeding network

[yefj]

Hello,i need to create a feeding network as following with unique amplitude and phase at each end

Where 1 is normaized to the full amplitude of the inpude signal ,0.4 is 0.4*amp .
-50 means -50 degrees.
how can we do it mathematickly when designing microstrip feeding network?
Thanks.

 

[yefj]

Update:

Hello ,at 5GHz for example.
When i do a a feeding network for an array , is ussually dividing the power by some ratio,like water flowing half here and half there.

could you please show me the logic of the microstrip structure creates these power and phases
If we look at the structure bellow we have width 1 divided into 2 and 3 which will create some power dividing.
but then we put a discontinuety on both of them marked 4 and 5.What is the logic in this ?
Thanks.

 

[vfone]

A phased array don't need only different signal phase for each antenna (to get the desire beam steering), but also requires different signal amplitude feeding each antenna, to get minimum grating lobes for specific beam angles.

 

[FvM]

Stepped transmission lines perform impedance matching and can act as asymmetrical power divider. To analyze the circuit in detail, you need to know the impedance and electrical length of each transmission line segment.

A general calculation scheme is given here https://en.wikipedia.org/wiki/Transmission_line#Stepped_transmission_line