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