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Connes Function

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Connes

The apodization function

A(x)=(1-(x^2)/(a^2))^2.

Its full width at half maximum is sqrt(4-2sqrt(2))a.

Its instrument function is

I(k)=8asqrt(2pi)(J_(5/2)(2pika))/((2pika)^(5/2)),

where J_n(z) is a Bessel function of the first kind. This has a maximum of 16a/15, and full width at half maximum of 1.90416/L.

See also

Apodization Function, Instrument Function

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Cite this as:

Weisstein, Eric W. "Connes Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConnesFunction.html

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