gaussian line shape

  • 1Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …

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  • 2Zero-phonon line and phonon sideband — The zero phonon line and the phonon sideband jointly constitute the line shape of individual light absorbing and emitting molecules (chromophores) embedded into a transparent solid matrix. When the host matrix contains many chromophores, each… …

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  • 3curved shape — noun the trace of a point whose direction of motion changes • Syn: ↑curve • Ant: ↑straight line (for: ↑curve) • Derivationally related forms: ↑curve ( …

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  • 4Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function …

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  • 5Modelocking — Mode locking is a technique in optics by which a laser can be made to produce pulses of light of extremely short duration, on the order of picoseconds (10 12s) or femtoseconds (10 15s).The basis of the technique is to induce a fixed phase… …

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  • 6Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …

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  • 7Astrophysical maser — An astrophysical maser is a naturally occurring source of stimulated spectral line emission, typically in the microwave portion of the electromagnetic spectrum. This emission may arise in molecular clouds, comets, planetary atmospheres, stellar… …

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  • 8Rietveld refinement — is a technique devised by Hugo Rietveld for use in the characterisation of crystalline materials. The neutron and x ray diffraction of powder samples results in a pattern characterised by peaks in intensity at certain positions. The height, width …

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  • 9Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …

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  • 10Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this …

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