What Are the Key Equations for a Phased Antenna Array?

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SUMMARY

The key equations for a phased antenna array involve calculating the individual element gain and the total number of elements, as well as the aperture of the array. For detailed equations, resources such as Microwaves 101 and the Wikipedia entry on phased arrays are referenced, although they may lack specific formulas. The discussion highlights the need for precise mathematical formulations, particularly for applications like building a phased array radio telescope operating in the UHF band. The Antenna book by Stutzman and Thiele is recommended for further insights into antenna theory.

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  • Understanding of phased array antenna theory
  • Familiarity with antenna gain calculations
  • Knowledge of UHF band specifications
  • Access to antenna design literature, specifically Stutzman and Thiele's Antenna book
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  • Research the mathematical equations for individual element gain in phased arrays
  • Study the concept of aperture in antenna arrays and its impact on performance
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Engineers, antenna designers, and researchers involved in radio astronomy or telecommunications who require a deeper understanding of phased antenna array design and performance optimization.

linear_shift
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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.
 
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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?
 

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