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One next remembers that there is an alternative to a
quarter wave length of transmission line. This is a
device of specific length and impedance intermediate
between two line sections to be joined of greatly
different characteristic impedances.
One can instead, intersperse a length of gradually
changing impedance, which matches the preceding
and succeeding sections exactly. This has the great
advantage of being broad band, so that one is not
limited to a frequency where a quarter wave has a
fixed length.