toad.social is one of the many independent Mastodon servers you can use to participate in the fediverse.
Mastodon server operated by David Troy, a tech pioneer and investigative journalist addressing threats to democracy. Thoughtful participation and discussion welcome.

Administered by:

Server stats:

227
active users

#physicsfactlet

1 post1 participant0 posts today

#PhysicsFactlet
Finding the roots of a function is a very common problem in computational Physics, and the bisection method is a simple and effective (albeit far from optimal) way to do that.
The idea is that you start by "bracketing" your root between a value of x where the function is negative and one where it is positive. You then take the midpoint between them, check if your function there is positive or negative and update the bracket.

#PhysicsFactlet
Scattering scrambles coherent light into a speckle pattern, where the field at each point can be seen as the superposition of a large number of random phasors. At some point the result is brighter, and at some points the result is dimmer, creating the "speckly" pattern.
By changing the phase of the incident light one can change the phase of the phasors making up the resulting field, and since elastic scattering is linear, changing the phase of different input modes is going to rotate different phasors without cross-talk.
As a result it is possible to find an incident wavefront such that all the phasors making up the field at one point are in a straight line (constructive interference), resulting in a single bright dot (a focus) through a completely scattering material.

#PhysicsFactlet
A Shack-Hartmann sensor is made my an array of small lenses and a camera. If the light hitting the lenses is collimated, we will get a number of equispaced foci on the camera. But if the light is not collimated, the position of the foci will change in a predictable way, so we can reconstruct where the ray were coming from.
#Optics #Physics

#PhysicsFactlet
Inspired by a short thread by @johncarlosbaez (mathstodon.xyz/@johncarlosbaez) I made a visualization of a Stone-Wales defect in fullerene, released it into the #PublicDomain, and uploaded it on Wikimedia Commons.
commons.wikimedia.org/wiki/Fil

MathstodonJohn Carlos Baez (@johncarlosbaez@mathstodon.xyz)Attached: 1 image I'm preparing a talk called Visions for the Future of Physics, so I'm bumping into various cool things I hadn't known about. This one comes from chemistry: the Stone-Wales transformation! Buckminsterfullerene is a molecule shaped like a soccer ball, made of 60 carbon atoms. If one of the bonds between two hexagons rotates, we get a weird mutant version of this molecule. This is an example of a Stone-Wales transformation. But the same sort of transformation can happen in graphene, which is a flat sheet of carbon atoms arranged in a hexagonal tiling of the plane. I'll show you how it works. I got the image here from this paper: • L. A. Openov and Mikhail Maslov, On the vineyard formula for the pre-exponential factor in the Arrhenius law, https://www.researchgate.net/figure/Stone-Wales-transformation-in-fullerene-C-60-The-black-color-indicates-the-C-C-bond_fig2_263126695 The Arrhenius law is a simple approximate formula for the rate of chemical reactions, which I really want to understand better... so I should actually read this paper! But right now I just like the pretty picture. (1/n)

#PhysicsFactlet
It's a foggy day here in Albion, so let's talk about light (multiple) scattering!
Fog is composed of micrometre sized water droplet that can scatter light. This has two main effects: some of the light that was supposed to reach your eyes don't (because it is scattered away), and some of the light that was not supposed to reach you gets scattered into your eyes.
The denser is the fog and the further an object is from you, the more likely light is to be scattered away before it reaches your eyes. The amount of unscattered light (i.e. the one your eyes can use to form a sharp image) goes down exponentially (Lambert-Beer law), so an object in the fog gets dimmer pretty quickly. On the other hand there is a chance that light that was never meant to reach you is now scattered into your eyes, but since it arrives from a largely random direction, mixed up with a lot of other scattered light, your brain perceived it as a white blur on top of everything else. And since far away object were already dim, this white halo can easily overpower them, so you can't see them anymore.

#PhysicsFactlet
Light propagates in a straight line (actually it is more complicated than that, but this is good enough for us here) and we see only the light that comes to our eyes. As a result you usually don't see the light going from its source to the objects it illuminates.
Unless it is misty, in which case light can scatter on the water droplets and you can "see" the light's path ("Tyndall effect").

#PhysicsFactlet
Do you want an interpretation of quantum mechanics that doesn't really work that well in practice, but that would look fantastic for your Sci-Fi novel? I have for you "Many interacting words" (not to be confused with the similarly named "Many worlds interpretation").
In this interpretation the universe is 100% classical, but instead of being one universe there is a VERY large number of them, all classical and weakly interacting with each other. In particular each particle is classical, but is repelled by its "copies" in the other universes. This is able to replicate a lot of the most weird effects of quantum mechanics. For instance, classically a particle is not able to overcome a potential barrier if it doesn't have enough energy to do so, but in this interpretation the particle would be repelled by its copies, so it has a non-zero chance of getting enough of a kick to jump on the other side of the barrier, producing the phenomenon we usually call "quantum tunnelling".
Another effect replicated by this model is the "zero point energy" i.e. the fact that the lowest energy a particle can have is not zero, but a bit higher than that. In this interpretation this comes to be because the particle (which is classic) would like to sit at zero energy, but so do all of its "copies", and they repel, so none of them can really sit at zero energy.
If you want, in this interpretation the very fact we see quantum effects is evidence of parallel universes!
journals.aps.org/prx/abstract/

Continued thread

#PhysicsFactlet: The "Ashcroft/Mermin Project" Chapter 6: Diffraction from a crystal
A wave with a wavelength comparable with the interatomic spacing of a crystal will diffract, resulting in intensity peaks at different angles, that act as a "fingerprint" of the crystal structure.

Not a #PhysicsFactlet, but a full beginner-friendly tutorial on how to use speckle correlations for imaging through a scattering medium, complete with a step-by-step guide on how to set up your first experiment and analyse the data (including a full code in Mathematica and one in Matlab to analyse the data, and all the raw data used to generate the plots to make your tests):
#Physics #Optics #Photonics #ITeachPhysics
iopscience.iop.org/article/10.