A special frequency scale is proposed for use in describing the fundamental limitation on wide-band matching of a small antenna by means of a fixed reactive network. This scale is

, normalized to unit frequency (

)-It has unit width for the high-pass band above this frequency. In terms of the familiar matching exponent

, the matching area over this scale is limited to

, where

is the (small) radiation power factor at

. The corresponding limit on matching efficiency is

. A double-tuned matching network can approach

this area over any bandwidth on this scale.