Fourier analysis

Superoscillation

Superoscillation is a phenomenon in which a signal which is globally band-limited can contain local segments that oscillate faster than its fastest Fourier components. The idea is originally attributed to Yakir Aharonov, and has been made more popularly known through the work of Michael Berry, who also notes that a similar result was known to Ingrid Daubechies. In 2007, Huang experimentally observed optical superoscillation phenomenon in the diffraction patterns of light transmitted through quasi-periodic nanohole arrays. Optical foci much smaller than the diffraction limit were observed. The results matched simulations without evanescent waves. In 2009, Huang et al further developed theoretical models to design superoscillation masks that can achieve extreme light concentration and imaging with arbitrary resolution. A practical method for constructing superoscillations and a discussion of their potential for quantum field theory were given by . Chremmos and Fikioris have proposed a method for constructing superoscillations that approximate a desired polynomial with arbitrary accuracy within a given interval. In 2013 experimental generation of arbitrarily shaped diffractionless superoscillatory optical beams has been demonstrated. Two years later, in 2015, it was shown experimentally that super-oscillations can generate features that are many-fold smaller than the diffraction limit. The experiment was done using visible light, demonstrating enhanced resolution of 35 nm. Kempf and Ferreira proved that superoscillations come at the expense of a dynamical range that has to increase exponentially with the number of superoscillations and polynomially with the frequency of the superoscillations. Superoscillatory wave forms are being considered as a possible practical tool for engineering applications, such as optical superresolution, i.e., resolution beyond the diffraction limit. (Wikipedia).

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From playlist Science Unplugged: Supersymmetry

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From playlist Physics - Waves

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From playlist Science Unplugged: Supersymmetry

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From playlist ELECTROMAGNETISM

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A quantum levitator it's a circular track of magnets above which a razor-thin disc magically levitates, seeming to defy the laws of physics. The key to the levitator is the disc, which is made of superconducting material sandwiched between layers of gold and sapphire crystal. A piece of fo

From playlist THERMODYNAMICS

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How do the additional symmetries of super-symmetry advance us toward a unified theory?

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From playlist Science Unplugged: Supersymmetry

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A single pulse creates two waves of one-half amplitude. When the waves pass each other they add constructively to create the original pulse.

From playlist Bell Labs Wave Machine

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In this video, Fermilab's Dr. Don Lincoln describes the principle of supersymmetry in an easy-to-understand way. A theory is supersymmetric if it treats forces and matter on an equal footing. While supersymmetry is an unproven idea, it is popular with particle physics researchers as a po

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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is super conductivity.

From playlist PHYSICS 40 RESISTIVITY AND RESISTANCE

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