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{{Infobox theorem|name=Thinned-array Curse|type=electromagnetic theory of antennas|field=electromagnetic|first stated date=1976|first stated by=[[Robert L. Forward]]|statement=A transmitting antenna which is synthesized from a coherent phased array of smaller antenna apertures that are spaced apart will have a smaller minimum beam spot size.}}
The '''thinned-array curse''' (sometimes, '''sparse-array curse''') is a theorem in [[electromagnetic radiation|electromagnetic]] theory of [[antenna (radio)|antenna]]s. It states that a transmitting antenna which is [[Aperture synthesis|synthesized]] from a coherent [[phased array]] of smaller antenna 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 to the total area of the individual apertures. 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.<ref>{{Cite journal|last=Glennon|first=Eamonn P|last2=Dempster|first2=Andrew G|last3=Aboutanios|first3=Elias|date=
The origin of the term 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 [[Robert L. Forward]] cites use of the term in unpublished [[Hughes Research Laboratories]] reports dating from 1976.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T. R. O'Meara, ''The Thinned Array Curse Theorems,'' Hughes Research Laboratories, unpublished internal report, Malibu CA Dec. 1976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W. B. Bridges, ''Looking at the Thinned Array Curse from a Slightly Different View,'' Hughes Research Laboratories, unpublished internal report, Malibu CA April 1976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>
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