![]() A plot of the sound amplitude as a function of frequency would trace out a curve with a pronounced bump around the resonant frequency, one that’s strikingly similar to the bumps heralding particle discoveries. This enhancement arises because the sound waves arrive at the glass in sync with vibrations that are already present, just as pushing on a swing at the right time can amplify its initial motion. As the singer sweeps past the frequency at which the wineglass resonates, the sound momentarily grows much louder. ![]() Now suppose the singer starts with a low note and continuously glides up in pitch. If the singer sings the note quietly, vibrations in the glass will grow at first, but larger vibrations cause more energy to radiate outward as sound waves than before, so eventually a balance will be achieved that results in vibrations with constant amplitude. But more often, energy loss, which Euler’s analysis neglected, prevents the motion of a physical system from growing unchecked. A bridge resonating with the footsteps of marching soldiers can collapse. He found that the system exhibited “various and wonderful motions,” as he put it in a letter to fellow mathematician Johann Bernoulli, and that, when the system is driven precisely at the resonant frequency, the amplitude of the motion “increases continually and finally grows out to infinity.”ĭriving a system too hard at the right frequency can have dramatic effects: A trained singer, for instance, can shatter a glass with a sustained note at its resonant frequency. The Swiss mathematician Leonhard Euler solved the equation describing a system continuously driven near its resonant frequency in 1739. Or flick a wineglass and the rim will vibrate a few hundred times per second, producing a characteristic tone as the vibrations transfer to the surrounding air.Ī system’s natural frequencies depend on its intrinsic properties: For a flute, for instance, they are the frequencies of sound waves that exactly fit inside its cylindrical geometry. ![]() ![]() A playground swing is one familiar example: “Knock something like that around, and it will always pick out its resonant frequency automatically,” Strassler said. That objects have natural frequencies “is one of the bedrock properties of both math and the universe,” said Matt Strassler, a particle physicist affiliated with Harvard University who is writing a book about the Higgs boson. In its simplest form, resonance occurs when an object experiences an oscillating force that’s close to one of its “natural” frequencies, at which it easily oscillates. Here’s how the same effect manifests in such varied settings, from everyday life down to the smallest scales. Resonance underlies aspects of the world as diverse as music, nuclear fusion in dying stars, and even the very existence of subatomic particles. Such a bump is the unmistakable signature of “resonance,” one of the most ubiquitous phenomena in nature. So even though you might be saying, “I can make this effect happen in Particular in 5 minutes,” keep in mind there’s always another 90% out there.Almost anytime physicists announce that they’ve discovered a new particle, whether it’s the Higgs boson or the recently bagged double-charm tetraquark, what they’ve actually spotted is a small bump rising from an otherwise smooth curve on a plot. Which takes a bit of effort to learn compared to the plethora of turnkey particle generators out there, but I think it’s a good start for a tutorial since it encapsulates so much of digital compositing. This is interesting because BlurryPixel is getting some great effects by using Particle Playground’s ability to use displacement maps… and it’s a nifty low cost solution for this effect if you don’t have Trapcode Particular.Ĭheck out the Creating Particle Effects with Particle Playground in After Effects Tutorial here.īlurryPixel notes on the tutorial: “So here is my first tutorial on Blurrypixel using an often overlooked particle effect in After Effects, Particle Playground. BlurryPixel shows how to create fantastic particle effects using Trapcode Particular… Particle Playground… wait…what?! – Yes, old-school particle playground that has shipped with After Effects for a long while now.
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