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Cosine Apodization Function

\begin{figure}\begin{center}\BoxedEPSF{CosineApodization.epsf scaled 750}\end{center}\end{figure}

The Apodization Function

\begin{displaymath} A(x)=\cos\left({\pi x\over 2a}\right). \end{displaymath}

Its Full Width at Half Maximum is $4a/3$. Its Instrument Function is

\begin{displaymath} I(k)={4a\cos(2\pi ak)\over \pi(1-16a^2 k^2)}. \end{displaymath}

See also Apodization Function



© 1996-9 Eric W. Weisstein
1999-05-25