[reflectarray antenna]---> required phase for each element

[panou]

Hi guys,

I am designing a reflectarray. Now I want to calculate the required phase for each element in the array. I checked Dr. Pozar's paper:
D. M. Pozar and T. A. Metzler, "ANALYSIS OF A REFLECTARRAY ANTENNA USING MICROSTRIP PATCHES OF VARIABLE SIZE," ELECTRONICS LETTERS 75rh April 1993 Vol. 29 No. 8 .
In this paper Dr. Pozar gives a equation to calculate the required phase, please see the attached picture for the equation.



My question is: if I use the following units: frequency(GHz), wavelength(m) and Ri(m), then what the unit of the \[\phi\] should be?

I think the unit of \[\phi\] should be radians.

But the \[\phi\] value I calculated is like \[\phi\]=79.5. So it is 79.5 radians. I think the final \[\phi\] should be in the range of 0~\[\pi\]. So should I use \[\phi\]-2*\[\pi\]*N to get the \[\phi\] value into range 0~\[\pi\]? Here N is a proper integer.

Is my understanding right? Thanks a lot in advance.

Best,
PANOU

 

[zorro]

Hi panou,

φ is in radians, but its range is from -π to π, or from 0 to 2π.
N is any integer, and ko is 2π/λ.
λ and R must be in the same units (e.g. meters).
Regards

Z

 

[panou]

Hi zorro, thanks so much. Yes the \[\phi\] should be from -\[\pi\] ~ \[\pi\]. That's my mistake.:razz: