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Connes Function

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

The Apodization Function

A(x)=\left({1-{x^2\over a^2}}\right)^2.

Its Full Width at Half Maximum is $\sqrt{4-2\sqrt{2}}\,a$, and its Instrument Function is

I(x)=8a\sqrt{2\pi}\, {J_{5/2}(2\pi ka)\over (2\pi ka)^{5/2}},

where $J_n(z)$ is a Bessel Function of the First Kind.

See also Apodization Function

© 1996-9 Eric W. Weisstein