Thinned-array curse: Difference between revisions

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The '''thinned array curse''' (sometimes, ''sparse array curse'') is a theorem in [[electromagnetic radiation | electromagnetic]] theory of [[transmitter]]s. It states that a transmitting aperture which is [[Aperture synthesis|synthesized]] by a coherent [[phased array]] of smaller apertures that are spaced apart will have a smaller minimum beam spot size (typically, the [[main lobe]] has a [[solid angle]] that is smaller by an amount proportional to the ratio of the area of the synthesized array divided by the total area of the individual apertures), but the amount of power that is beamed into this main lobe is reduced by an exactly proportional amount, so that the total power density in the beam is constant.
 
The origin of the term "thinned array curse" is not clear. [[Robert L. Forward]] cites use of the term in unpublished [[Hughes Research Laboratories]] reports dating from 1976 .<ref>T. R. O'Meara, ''The Thinned Array Curse Theorems,'' Hughes Research Laboratories, unpublished internal report, Malibu CA Dec. 1976</ref>,<ref>W. B. Bridges, ''Looking at the Thinned Array Curse from a Slightly Different View,'' Hughes Research Laboratories, unpublished internal report, Malibu CA April 1976</ref>
 
==Example==
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A short derivation of the thinned array curse, focusing on the implications for use of [[lasers]] to provide impulse for an [[interstellar probe]] (an application of [[beam-powered propulsion]]), can be found in Robert Forward's paper "Roundtrip Interstellar Travel Using Laser Pushed Lightsails<ref>Robert L. Forward, "Roundtrip Interstellar Travel Using Laser Pushed Lightsails," ''J. Spacecraft and Rockets, Vol. 21,'' No. 2, Mar-Apr 1984, pp. 190.</ref>."
 
==See also==
*[[Radiation pattern]]
 
==References==
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*See also Constantine A. Balanis: “Antenna Theory, Analysis and Design”, John Wiley & Sons, Inc., 2nd ed. 1982 ISBN 0-471-59268-4
{{Refend}}
 
==See also==
*[[Radiation pattern]]
 
[[Category:Interferometry]]