What is Rayleigh: Definition and 107 Discussions

Rayleigh scattering ( RAY-lee), named after the nineteenth-century British physicist Lord Rayleigh (John William Strutt), is the predominantly elastic scattering of light or other electromagnetic radiation by particles much smaller than the wavelength of the radiation. For light frequencies well below the resonance frequency of the scattering particle (normal dispersion regime), the amount of scattering is inversely proportional to the fourth power of the wavelength.
Rayleigh scattering results from the electric polarizability of the particles. The oscillating electric field of a light wave acts on the charges within a particle, causing them to move at the same frequency. The particle, therefore, becomes a small radiating dipole whose radiation we see as scattered light. The particles may be individual atoms or molecules; it can occur when light travels through transparent solids and liquids, but is most prominently seen in gases.
Rayleigh scattering of sunlight in Earth's atmosphere causes diffuse sky radiation, which is the reason for the blue color of the daytime and twilight sky, as well as the yellowish to reddish hue of the low Sun. Sunlight is also subject to Raman scattering, which changes the rotational state of the molecules and gives rise to polarization effects.

Scattering by particles with a size comparable to or larger than the wavelength of the light is typically treated by the Mie theory, the discrete dipole approximation and other computational techniques. Rayleigh scattering applies to particles that are small with respect to wavelengths of light, and that are optically "soft" (i.e., with a refractive index close to 1). Anomalous diffraction theory applies to optically soft but larger particles.

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    Rayleigh Refractometer index of refraction

    When constructing a Rayleigh Refractometer the formula for the refractive index of a gas at pressure P and temperature T is: mu(P,T) - 1 = (gamma) P/T where, mu(P,T) = refractive index as a function of pressure and temperature and gamma = [n(lambda)Ta]/[L(deltaP)] where, n = fringe...
  2. N

    Rayleigh Refractometer index of refraction

    When constructing a Rayleigh Refractometer the formula for the refractive index of a gas at pressure P and temperature T is: mu(P,T) - 1 = (gamma) P/T where, mu(P,T) = refractive index as a function of pressure and temperature and gamma = [n(lambda)Ta]/[L(deltaP)] where, n = fringe...
  3. U

    Why does Planck's constant not appear in the Rayleigh-Jeans formula?

    I am to derive the incorrect Rayleigh-Jeans formula from the correct Planck formula to show why plank's constant does not appear in the Rayleigh-Jeans formula. I should also recall the Stefen-Boltmann Law here's what I have but I'm stuck... Rayleigh-Jeans formula: u(\lambda)=\frac{8 \pi k...
  4. T

    Find the Principal Eigenvalue of Sturm-Liouville Problem with Rayleigh Quotient

    Use the Rayleight quotient to find a good approximation for the principal eigenvalue of the Sturm-Liouville problem. u'' + (\lambda - x^2)u = 0 0 < x < 0 u(0) = u'(1) = 0 Any help?
  5. J

    Rayleigh' s method YIKES

    A simply supported beam of negligible mass , length l and stiffness EI carries a concentrated mass m at its centre. Apply Rayleigh' s method to find the beams frequency of small oscillations. Isn' t it just give byt this with rowe replaced by m?
  6. E

    Help about Rayleigh Dissipative Function

    i think I've posted this topic in the wrong thread(theoretical physics).. anyways, i would like to ask, if anyone could give me some backgrounds on Rayleigh Dissipative Function.. thank you very much in advance..
  7. E

    Understanding the Rayleigh Dissipative Function in Classical Mechanics

    Physics people, what is the theory behind the Rayleigh Dissipative Function? could you kindly give me some website which could help me understand this?
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