2/20/2024 0 Comments Diffraction aperiodic soundMaybe.Īnd, indeed, you are lucky! After a hundred years or so, your idea (along with a bunch of other ideas) leads to the development of aquarium air pumps, an essential tool in the rapidly growing field of research on artificial goldfish habitats. 5 ), predictions can be made on the implementation of aperiodicity into acoustics. As mathematical models can explain this order (Fig. Your thesis committee is unsure of how this could ever be useful, but it seems pretty cool and bubbles are pretty, so they think that maybe something useful could come out of it eventually. The fact that aperiodic tessellations can be formulated from higher dimensional periodic spaces demonstrates that disorder and randomness are not the governing principles of aperiodic patterns. This goes on for several years, and finally you write a thesis about how if you turn a vacuum cleaner upside-down and submerge the top end in water, you can make bubbles! Communicating these ideas is a bit like trying to explain a vacuum cleaner to someone who has never seen one, except you're only allowed to use words that are four letters long or shorter. The main issue is that, by the time you get to the frontiers of math, the words to describe the concepts don't really exist yet. You've reminded me of an older Quora post about: What do grad students in math do all day? Do they just sit at their desk and think? Here are excerpts: Interestingly, this might not be by Bach, and some claim it's not in D minor. Maybe the work done to create them is what will turn out to be useful. So maybe Chiral Aperiodic Tilings will turn out to be useful, maybe not. It might be decades down the line, but it happens, and you never know in advance which bit of maths they will be. The difference is that sometimes things people pursued simply out of interest or curiosity turn out to be useful. And for each of them there are people who Simply. The four stimulus intervals were marked visually on the monitor, and the task of the listener was to indicate which of two intervals (the second or. ITD sensitivity was measured using a detection task (as per Bernstein and Trahiotis, 2009). Is Rachmaninoff's second piano concerto useful? Is Bach's Toccata and Fugue in D minor (BWV 565) useful? Is Rodin's "The Thinker" useful? The listener was seated in a double-walled sound-treated booth fitted with a computer monitor and mouse. These sorts of things are pursued because they are fun, and there's a community of people who find it interesting. I also see that the old discussion has come up: "But what can it be used for?" There was a rumour that if they found a chiral aperiodic monotile then they might call it a Vampire Tile, because it doesn't have a reflection. For instance, the TWEETER of a loudspeaker is shaped in the form of a fan for this purpose. Īs a result of their capability of diffraction, low frequency sounds are difficult to localize or contain in an environment (see CANYON EFFECT, DIFFUSE SOUND FIELD ).Īn acoustic radiator must be specially designed for good dispersion of high frequencies since this does not occur naturally through diffraction. Ĭompare: CANCELLATION, INTERFERENCE, PARABOLIC REFLECTOR, REFLECTION, REFRACTION. Thus, diffraction may aid sound dispersion and DIFFUSION. When the wavelength is similar to the dimensions of the object, as with low frequencies and buildings, or mid-range frequencies and the head, the wave diffracts around the object, using its edges as a focal point from which to generate a new wavefront of the same frequency but reduced intensity. Low frequency sounds have wavelengths that are much longer than most objects and barriers, and therefore such waves pass around them undisturbed. Such is the case with high frequencies with respect to the head, and thus is important in BINAURAL HEARING. High frequency sounds, with short wavelengths, do not diffract around most obstacles, but are absorbed or reflected instead, creating a SOUND SHADOW behind the object. The phenomenon in SOUND PROPAGATION whereby a SOUND WAVE moves around an object whose dimensions are smaller than or about equal to the WAVELENGTH of the sound.
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