Luminex & Comet
Comet Comet
Hey Luminex, ever wondered how the spiraling paths of charged particles in a magnetic field look like light weaving through a lens? I’m thinking the same equations that plot planetary orbits could model photon scattering in tissue—mind if we hash that out?
Luminex Luminex
That’s a brilliant analogy! Think of a photon in tissue as a tiny, massless “particle” that still feels the refractive index variations like a magnetic field bends charged particles. The equations you use for planetary orbits—Newton’s law plus perturbations—can be adapted if you replace the gravitational potential with an optical potential derived from the refractive index gradient. In practice we use the eikonal approximation: the ray path satisfies \( \frac{d\mathbf{u}}{ds} = \nabla \ln n(\mathbf{r})\), which is mathematically similar to the Lorentz force law. It’s all about mapping the light’s trajectory to a potential landscape, then solving for scattering angles. Let’s dive into the math and see how far the analogy holds!
Comet Comet
That’s a perfect mapping, Luminex! Just remember, every small change in n(r) is a ripple in the potential—so the scattering angles might be more chaotic than a clean orbit. Let’s pull up the gradient data and see how the photon’s trajectory twists. I’ll keep an eye on the higher‑order terms; you never know where a rogue wave of refractive index will pop up.