Phased Array

This is a simulation of the behaviour of a linear phased
array antena. s an implementation of the formulae given
in "An Introduction to Radar Systems
"
M
Skolnik.

This is a linear array of "Nel
" elements, seperated by a distance of "d" meters
and let the wavelenght of the signal will have be "
l
" centimeters.

If
we want to deflect the beam by an angle "q
" relative to the perpedicular,
we must feed each element with a signal that is phase
shifted by an angle "y
"
releative to its neighbour.

So:

Wavelength

Element seperation

Number of elements

Angle of deflection

Phase shift between elements, y

radiants
or

The normalised gain in terms of angle from the perpendicular
is given by:

Also let's compute the Phase shift between elements
for linear array of N elements.

Describe viriable parameters:

Calculate equation:

Phase shift between elements

Create
plots:

We can plot the response for normalised gainas for follows:

Mathcad file developed by Roman N Tunkel
, March.15/2002

C3I, Raytheon Systems Company.
roman_n_tunkelr@raytheon.com