Few
Member
- Joined
- Oct 27, 2020
- Messages
- 91
- Likes
- 95
For those trying to wrap their head around the mathematics, and who took some chemistry or physics, you might find it helpful to envision the shapes of the atomic orbitals. And apologies if it turns out referring to atomic orbitals is utterly useless to all readers!
The angular features of the orbitals (not the features that depend on distance from the nucleus, but the ones that depend on direction) are precisely the same spherical harmonics used in this application. The s orbitals are spherical, the p orbitals have one planar node (there are three versions, with the nodes lying in mutually perpendicular planes), and so on. Wherever an orbital’s lobe points, the speaker has a strong response. Wherever the orbital has a node, like the pinched in waist of the p orbitals, the speaker has reduced output. The idea is that any acoustic radiation pattern can be described by summing weighted contributions from a perfectly spherical response (s orbital), a response with a single planar node (p orbitals), two planar nodes (d orbitals), and so on.
This site provides a few orbital visuals:
Again, if I’m the only person interested in audio and orbitals, then I apologize for the distraction.
Few
The angular features of the orbitals (not the features that depend on distance from the nucleus, but the ones that depend on direction) are precisely the same spherical harmonics used in this application. The s orbitals are spherical, the p orbitals have one planar node (there are three versions, with the nodes lying in mutually perpendicular planes), and so on. Wherever an orbital’s lobe points, the speaker has a strong response. Wherever the orbital has a node, like the pinched in waist of the p orbitals, the speaker has reduced output. The idea is that any acoustic radiation pattern can be described by summing weighted contributions from a perfectly spherical response (s orbital), a response with a single planar node (p orbitals), two planar nodes (d orbitals), and so on.
This site provides a few orbital visuals:
Again, if I’m the only person interested in audio and orbitals, then I apologize for the distraction.
Few