What Are the Key Equations for a Phased Antenna Array?

[linear_shift]

What are the equations for a phased antenna array due to:

1. Individual element gain and the number of elements
2. Aperture of the array

I have been googling these for god knows how long and can't find the slightest hint, except the site Microwaves 101 (http://www.microwaves101.com/), which left out the f-ing equation I described in number one. I am building a phased array radio telescope for the UHF band (out of TV antennas) and am in dire need of these equations. Thanks, ls.

 

[berkeman]

There's some math and other links at the wikipedia.org entry:

http://en.wikipedia.org/wiki/Phased_array

I haven't worked with arrays much, but my Antenna book by Stutzman and Thiele has a pretty good section in it. Do you have access to this book, or any other antenna books?

 

[oswaler]

Hello ls,

Thank you for your question about phased antenna array equations. Phased antenna arrays are a type of antenna system that use multiple antenna elements to produce a directional beam. The equations for a phased antenna array are dependent on two key factors: the individual element gain and the number of elements, and the aperture of the array.

1. Individual element gain and the number of elements:

The equation for the total gain of a phased antenna array is given by:

Gtotal = Gelement * N

Where Gtotal is the total gain of the array, Gelement is the gain of each individual element, and N is the number of elements in the array.

2. Aperture of the array:

The aperture of an antenna array is the effective area of the array that captures and focuses the incoming signals. The equation for the aperture of a phased antenna array is given by:

A = λ^2 / (4π * θ)

Where A is the aperture, λ is the wavelength of the signal, and θ is the half-power beamwidth of the array.

I hope this helps in your project. Best of luck with your phased array radio telescope!