symop.modes.transfer.supergaussian_bandpass¶
Super-Gaussian band-pass transfer function.
This module defines a super-Gaussian band-pass amplitude transfer.
The transfer is
\[H(\omega)
=
\exp\left[
-\frac{1}{2}
\left(
\frac{\omega-\omega_0}{\sigma_\omega}
\right)^{2m}
\right],
\quad m \ge 1.\]
For \(m=1\) this reduces to a Gaussian band-pass. Increasing \(m\) produces flatter passbands and steeper edges.
Notes
This transfer is not representable as a finite Gaussian expansion and therefore does not belong to the Gaussian-closed formalism.
Classes
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Super-Gaussian band-pass amplitude transfer. |